analysis.analytic.linear ⟷ Mathlib.Analysis.Analytic.Linear

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

@@ -3,7 +3,7 @@ Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 -/
-import Mathbin.Analysis.Analytic.Basic
+import Analysis.Analytic.Basic
 
 #align_import analysis.analytic.linear from "leanprover-community/mathlib"@"af471b9e3ce868f296626d33189b4ce730fa4c00"
 

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

@@ -2,14 +2,11 @@
 Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
-
-! This file was ported from Lean 3 source module analysis.analytic.linear
-! leanprover-community/mathlib commit af471b9e3ce868f296626d33189b4ce730fa4c00
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Analytic.Basic
 
+#align_import analysis.analytic.linear from "leanprover-community/mathlib"@"af471b9e3ce868f296626d33189b4ce730fa4c00"
+
 /-!
 # Linear functions are analytic
 

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

@@ -44,16 +44,21 @@ def fpowerSeries (f : E →L[𝕜] F) (x : E) : FormalMultilinearSeries 𝕜 E F
 #align continuous_linear_map.fpower_series ContinuousLinearMap.fpowerSeries
 -/
 
+#print ContinuousLinearMap.fpowerSeries_apply_add_two /-
 @[simp]
 theorem fpowerSeries_apply_add_two (f : E →L[𝕜] F) (x : E) (n : ℕ) : f.fpowerSeries x (n + 2) = 0 :=
   rfl
 #align continuous_linear_map.fpower_series_apply_add_two ContinuousLinearMap.fpowerSeries_apply_add_two
+-/
 
+#print ContinuousLinearMap.fpowerSeries_radius /-
 @[simp]
 theorem fpowerSeries_radius (f : E →L[𝕜] F) (x : E) : (f.fpowerSeries x).radius = ∞ :=
   (f.fpowerSeries x).radius_eq_top_of_forall_image_add_eq_zero 2 fun n => rfl
 #align continuous_linear_map.fpower_series_radius ContinuousLinearMap.fpowerSeries_radius
+-/
 
+#print ContinuousLinearMap.hasFPowerSeriesOnBall /-
 protected theorem hasFPowerSeriesOnBall (f : E →L[𝕜] F) (x : E) :
     HasFPowerSeriesOnBall f (f.fpowerSeries x) x ∞ :=
   { r_le := by simp
@@ -61,15 +66,20 @@ protected theorem hasFPowerSeriesOnBall (f : E →L[𝕜] F) (x : E) :
     HasSum := fun y _ =>
       (hasSum_nat_add_iff' 2).1 <| by simp [Finset.sum_range_succ, ← sub_sub, hasSum_zero] }
 #align continuous_linear_map.has_fpower_series_on_ball ContinuousLinearMap.hasFPowerSeriesOnBall
+-/
 
+#print ContinuousLinearMap.hasFPowerSeriesAt /-
 protected theorem hasFPowerSeriesAt (f : E →L[𝕜] F) (x : E) :
     HasFPowerSeriesAt f (f.fpowerSeries x) x :=
   ⟨∞, f.HasFPowerSeriesOnBall x⟩
 #align continuous_linear_map.has_fpower_series_at ContinuousLinearMap.hasFPowerSeriesAt
+-/
 
+#print ContinuousLinearMap.analyticAt /-
 protected theorem analyticAt (f : E →L[𝕜] F) (x : E) : AnalyticAt 𝕜 f x :=
   (f.HasFPowerSeriesAt x).AnalyticAt
 #align continuous_linear_map.analytic_at ContinuousLinearMap.analyticAt
+-/
 
 #print ContinuousLinearMap.uncurryBilinear /-
 /-- Reinterpret a bilinear map `f : E →L[𝕜] F →L[𝕜] G` as a multilinear map
@@ -83,11 +93,13 @@ def uncurryBilinear (f : E →L[𝕜] F →L[𝕜] G) : E × F[×2]→L[𝕜] G
 #align continuous_linear_map.uncurry_bilinear ContinuousLinearMap.uncurryBilinear
 -/
 
+#print ContinuousLinearMap.uncurryBilinear_apply /-
 @[simp]
 theorem uncurryBilinear_apply (f : E →L[𝕜] F →L[𝕜] G) (m : Fin 2 → E × F) :
     f.uncurryBilinear m = f (m 0).1 (m 1).2 :=
   rfl
 #align continuous_linear_map.uncurry_bilinear_apply ContinuousLinearMap.uncurryBilinear_apply
+-/
 
 #print ContinuousLinearMap.fpowerSeriesBilinear /-
 /-- Formal multilinear series expansion of a bilinear function `f : E →L[𝕜] F →L[𝕜] G`. -/
@@ -100,12 +112,15 @@ def fpowerSeriesBilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) : Formal
 #align continuous_linear_map.fpower_series_bilinear ContinuousLinearMap.fpowerSeriesBilinear
 -/
 
+#print ContinuousLinearMap.fpowerSeriesBilinear_radius /-
 @[simp]
 theorem fpowerSeriesBilinear_radius (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
     (f.fpowerSeriesBilinear x).radius = ∞ :=
   (f.fpowerSeriesBilinear x).radius_eq_top_of_forall_image_add_eq_zero 3 fun n => rfl
 #align continuous_linear_map.fpower_series_bilinear_radius ContinuousLinearMap.fpowerSeriesBilinear_radius
+-/
 
+#print ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear /-
 protected theorem hasFPowerSeriesOnBall_bilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
     HasFPowerSeriesOnBall (fun x : E × F => f x.1 x.2) (f.fpowerSeriesBilinear x) x ∞ :=
   { r_le := by simp
@@ -117,16 +132,21 @@ protected theorem hasFPowerSeriesOnBall_bilinear (f : E →L[𝕜] F →L[𝕜]
           f.map_add_add]
         dsimp; simp only [add_comm, sub_self, hasSum_zero] }
 #align continuous_linear_map.has_fpower_series_on_ball_bilinear ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear
+-/
 
+#print ContinuousLinearMap.hasFPowerSeriesAt_bilinear /-
 protected theorem hasFPowerSeriesAt_bilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
     HasFPowerSeriesAt (fun x : E × F => f x.1 x.2) (f.fpowerSeriesBilinear x) x :=
   ⟨∞, f.hasFPowerSeriesOnBall_bilinear x⟩
 #align continuous_linear_map.has_fpower_series_at_bilinear ContinuousLinearMap.hasFPowerSeriesAt_bilinear
+-/
 
+#print ContinuousLinearMap.analyticAt_bilinear /-
 protected theorem analyticAt_bilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
     AnalyticAt 𝕜 (fun x : E × F => f x.1 x.2) x :=
   (f.hasFPowerSeriesAt_bilinear x).AnalyticAt
 #align continuous_linear_map.analytic_at_bilinear ContinuousLinearMap.analyticAt_bilinear
+-/
 
 end ContinuousLinearMap
 

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.analytic.linear
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! leanprover-community/mathlib commit af471b9e3ce868f296626d33189b4ce730fa4c00
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Analysis.Analytic.Basic
 /-!
 # Linear functions are analytic
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we prove that a `continuous_linear_map` defines an analytic function with
 the formal power series `f x = f a + f (x - a)`.
 -/
@@ -30,6 +33,7 @@ noncomputable section
 
 namespace ContinuousLinearMap
 
+#print ContinuousLinearMap.fpowerSeries /-
 /-- Formal power series of a continuous linear map `f : E →L[𝕜] F` at `x : E`:
 `f y = f x + f (y - x)`. -/
 @[simp]
@@ -38,6 +42,7 @@ def fpowerSeries (f : E →L[𝕜] F) (x : E) : FormalMultilinearSeries 𝕜 E F
   | 1 => (continuousMultilinearCurryFin1 𝕜 E F).symm f
   | _ => 0
 #align continuous_linear_map.fpower_series ContinuousLinearMap.fpowerSeries
+-/
 
 @[simp]
 theorem fpowerSeries_apply_add_two (f : E →L[𝕜] F) (x : E) (n : ℕ) : f.fpowerSeries x (n + 2) = 0 :=
@@ -66,6 +71,7 @@ protected theorem analyticAt (f : E →L[𝕜] F) (x : E) : AnalyticAt 𝕜 f x
   (f.HasFPowerSeriesAt x).AnalyticAt
 #align continuous_linear_map.analytic_at ContinuousLinearMap.analyticAt
 
+#print ContinuousLinearMap.uncurryBilinear /-
 /-- Reinterpret a bilinear map `f : E →L[𝕜] F →L[𝕜] G` as a multilinear map
 `(E × F) [×2]→L[𝕜] G`. This multilinear map is the second term in the formal
 multilinear series expansion of `uncurry f`. It is given by
@@ -75,6 +81,7 @@ def uncurryBilinear (f : E →L[𝕜] F →L[𝕜] G) : E × F[×2]→L[𝕜] G
     (↑(continuousMultilinearCurryFin1 𝕜 (E × F) G).symm : (E × F →L[𝕜] G) →L[𝕜] _).comp <|
       f.bilinearComp (fst _ _ _) (snd _ _ _)
 #align continuous_linear_map.uncurry_bilinear ContinuousLinearMap.uncurryBilinear
+-/
 
 @[simp]
 theorem uncurryBilinear_apply (f : E →L[𝕜] F →L[𝕜] G) (m : Fin 2 → E × F) :
@@ -82,6 +89,7 @@ theorem uncurryBilinear_apply (f : E →L[𝕜] F →L[𝕜] G) (m : Fin 2 → E
   rfl
 #align continuous_linear_map.uncurry_bilinear_apply ContinuousLinearMap.uncurryBilinear_apply
 
+#print ContinuousLinearMap.fpowerSeriesBilinear /-
 /-- Formal multilinear series expansion of a bilinear function `f : E →L[𝕜] F →L[𝕜] G`. -/
 @[simp]
 def fpowerSeriesBilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) : FormalMultilinearSeries 𝕜 (E × F) G
@@ -90,6 +98,7 @@ def fpowerSeriesBilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) : Formal
   | 2 => f.uncurryBilinear
   | _ => 0
 #align continuous_linear_map.fpower_series_bilinear ContinuousLinearMap.fpowerSeriesBilinear
+-/
 
 @[simp]
 theorem fpowerSeriesBilinear_radius (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :

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

@@ -49,21 +49,21 @@ theorem fpowerSeries_radius (f : E →L[𝕜] F) (x : E) : (f.fpowerSeries x).ra
   (f.fpowerSeries x).radius_eq_top_of_forall_image_add_eq_zero 2 fun n => rfl
 #align continuous_linear_map.fpower_series_radius ContinuousLinearMap.fpowerSeries_radius
 
-protected theorem hasFpowerSeriesOnBall (f : E →L[𝕜] F) (x : E) :
-    HasFpowerSeriesOnBall f (f.fpowerSeries x) x ∞ :=
+protected theorem hasFPowerSeriesOnBall (f : E →L[𝕜] F) (x : E) :
+    HasFPowerSeriesOnBall f (f.fpowerSeries x) x ∞ :=
   { r_le := by simp
     r_pos := ENNReal.coe_lt_top
     HasSum := fun y _ =>
       (hasSum_nat_add_iff' 2).1 <| by simp [Finset.sum_range_succ, ← sub_sub, hasSum_zero] }
-#align continuous_linear_map.has_fpower_series_on_ball ContinuousLinearMap.hasFpowerSeriesOnBall
+#align continuous_linear_map.has_fpower_series_on_ball ContinuousLinearMap.hasFPowerSeriesOnBall
 
-protected theorem hasFpowerSeriesAt (f : E →L[𝕜] F) (x : E) :
-    HasFpowerSeriesAt f (f.fpowerSeries x) x :=
-  ⟨∞, f.HasFpowerSeriesOnBall x⟩
-#align continuous_linear_map.has_fpower_series_at ContinuousLinearMap.hasFpowerSeriesAt
+protected theorem hasFPowerSeriesAt (f : E →L[𝕜] F) (x : E) :
+    HasFPowerSeriesAt f (f.fpowerSeries x) x :=
+  ⟨∞, f.HasFPowerSeriesOnBall x⟩
+#align continuous_linear_map.has_fpower_series_at ContinuousLinearMap.hasFPowerSeriesAt
 
 protected theorem analyticAt (f : E →L[𝕜] F) (x : E) : AnalyticAt 𝕜 f x :=
-  (f.HasFpowerSeriesAt x).AnalyticAt
+  (f.HasFPowerSeriesAt x).AnalyticAt
 #align continuous_linear_map.analytic_at ContinuousLinearMap.analyticAt
 
 /-- Reinterpret a bilinear map `f : E →L[𝕜] F →L[𝕜] G` as a multilinear map
@@ -97,8 +97,8 @@ theorem fpowerSeriesBilinear_radius (f : E →L[𝕜] F →L[𝕜] G) (x : E ×
   (f.fpowerSeriesBilinear x).radius_eq_top_of_forall_image_add_eq_zero 3 fun n => rfl
 #align continuous_linear_map.fpower_series_bilinear_radius ContinuousLinearMap.fpowerSeriesBilinear_radius
 
-protected theorem hasFpowerSeriesOnBallBilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
-    HasFpowerSeriesOnBall (fun x : E × F => f x.1 x.2) (f.fpowerSeriesBilinear x) x ∞ :=
+protected theorem hasFPowerSeriesOnBall_bilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
+    HasFPowerSeriesOnBall (fun x : E × F => f x.1 x.2) (f.fpowerSeriesBilinear x) x ∞ :=
   { r_le := by simp
     r_pos := ENNReal.coe_lt_top
     HasSum := fun y _ =>
@@ -107,16 +107,16 @@ protected theorem hasFpowerSeriesOnBallBilinear (f : E →L[𝕜] F →L[𝕜] G
         simp only [Finset.sum_range_succ, Finset.sum_range_one, Prod.fst_add, Prod.snd_add,
           f.map_add_add]
         dsimp; simp only [add_comm, sub_self, hasSum_zero] }
-#align continuous_linear_map.has_fpower_series_on_ball_bilinear ContinuousLinearMap.hasFpowerSeriesOnBallBilinear
+#align continuous_linear_map.has_fpower_series_on_ball_bilinear ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear
 
-protected theorem hasFpowerSeriesAtBilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
-    HasFpowerSeriesAt (fun x : E × F => f x.1 x.2) (f.fpowerSeriesBilinear x) x :=
-  ⟨∞, f.hasFpowerSeriesOnBallBilinear x⟩
-#align continuous_linear_map.has_fpower_series_at_bilinear ContinuousLinearMap.hasFpowerSeriesAtBilinear
+protected theorem hasFPowerSeriesAt_bilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
+    HasFPowerSeriesAt (fun x : E × F => f x.1 x.2) (f.fpowerSeriesBilinear x) x :=
+  ⟨∞, f.hasFPowerSeriesOnBall_bilinear x⟩
+#align continuous_linear_map.has_fpower_series_at_bilinear ContinuousLinearMap.hasFPowerSeriesAt_bilinear
 
 protected theorem analyticAt_bilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
     AnalyticAt 𝕜 (fun x : E × F => f x.1 x.2) x :=
-  (f.hasFpowerSeriesAtBilinear x).AnalyticAt
+  (f.hasFPowerSeriesAt_bilinear x).AnalyticAt
 #align continuous_linear_map.analytic_at_bilinear ContinuousLinearMap.analyticAt_bilinear
 
 end ContinuousLinearMap

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

@@ -22,7 +22,7 @@ variable {𝕜 : Type _} [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddC
   [NormedSpace 𝕜 E] {F : Type _} [NormedAddCommGroup F] [NormedSpace 𝕜 F] {G : Type _}
   [NormedAddCommGroup G] [NormedSpace 𝕜 G]
 
-open Topology Classical BigOperators NNReal ENNReal
+open scoped Topology Classical BigOperators NNReal ENNReal
 
 open Set Filter Asymptotics
 

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

@@ -30,12 +30,6 @@ noncomputable section
 
 namespace ContinuousLinearMap
 
-/- warning: continuous_linear_map.fpower_series -> ContinuousLinearMap.fpowerSeries is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)], (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) -> E -> (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (ContinuousLinearMap.FpowerSeries._proof_1.{u2} E _inst_2) (ContinuousLinearMap.FpowerSeries._proof_2.{u1, u2} 𝕜 _inst_1 E _inst_2 _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousLinearMap.FpowerSeries._proof_3.{u3} F _inst_4) (ContinuousLinearMap.FpowerSeries._proof_4.{u1, u3} 𝕜 _inst_1 F _inst_4 _inst_5))
-but is expected to have type
-  PUnit.{max (max (succ (succ u1)) (succ (succ u2))) (succ (succ u3))}
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.fpower_series ContinuousLinearMap.fpowerSeriesₓ'. -/
 /-- Formal power series of a continuous linear map `f : E →L[𝕜] F` at `x : E`:
 `f y = f x + f (y - x)`. -/
 @[simp]
@@ -88,9 +82,6 @@ theorem uncurryBilinear_apply (f : E →L[𝕜] F →L[𝕜] G) (m : Fin 2 → E
   rfl
 #align continuous_linear_map.uncurry_bilinear_apply ContinuousLinearMap.uncurryBilinear_apply
 
-/- warning: continuous_linear_map.fpower_series_bilinear -> ContinuousLinearMap.fpowerSeriesBilinear is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.fpower_series_bilinear ContinuousLinearMap.fpowerSeriesBilinearₓ'. -/
 /-- Formal multilinear series expansion of a bilinear function `f : E →L[𝕜] F →L[𝕜] G`. -/
 @[simp]
 def fpowerSeriesBilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) : FormalMultilinearSeries 𝕜 (E × F) G

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

@@ -89,10 +89,7 @@ theorem uncurryBilinear_apply (f : E →L[𝕜] F →L[𝕜] G) (m : Fin 2 → E
 #align continuous_linear_map.uncurry_bilinear_apply ContinuousLinearMap.uncurryBilinear_apply
 
 /- warning: continuous_linear_map.fpower_series_bilinear -> ContinuousLinearMap.fpowerSeriesBilinear is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {G : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} G] [_inst_7 : NormedSpace.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)], (ContinuousLinearMap.{u1, u1, u2, max u3 u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u3, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) G (UniformSpace.toTopologicalSpace.{u4} G (PseudoMetricSpace.toUniformSpace.{u4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)))) (AddCommGroup.toAddCommMonoid.{u4} G (NormedAddCommGroup.toAddCommGroup.{u4} G _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u4} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F G (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddCommGroup.toAddCommGroup.{u4} G _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u4} G (PseudoMetricSpace.toUniformSpace.{u4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)))) (ContinuousLinearMap.FpowerSeriesBilinear._proof_1.{u4} G _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) G (UniformSpace.toTopologicalSpace.{u4} G (PseudoMetricSpace.toUniformSpace.{u4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)))) (AddCommGroup.toAddCommMonoid.{u4} G (NormedAddCommGroup.toAddCommGroup.{u4} G _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7) (ContinuousLinearMap.FpowerSeriesBilinear._proof_2.{u4} G _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u3, u4} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) G (UniformSpace.toTopologicalSpace.{u4} G (PseudoMetricSpace.toUniformSpace.{u4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)))) (AddCommGroup.toAddCommMonoid.{u4} G (NormedAddCommGroup.toAddCommGroup.{u4} G _inst_6)) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7) (ContinuousLinearMap.FpowerSeriesBilinear._proof_3.{u1, u4} 𝕜 _inst_1 G _inst_6 _inst_7) (ContinuousLinearMap.FpowerSeriesBilinear._proof_4.{u1, u4} 𝕜 _inst_1 G _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.FpowerSeriesBilinear._proof_5.{u4} G _inst_6))) -> (Prod.{u2, u3} E F) -> (FormalMultilinearSeries.{u1, max u2 u3, u4} 𝕜 (Prod.{u2, u3} E F) G (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Prod.addCommGroup.{u2, u3} E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Prod.topologicalSpace.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (ContinuousLinearMap.FpowerSeriesBilinear._proof_6.{u2, u3} E _inst_2 F _inst_4) (ContinuousLinearMap.FpowerSeriesBilinear._proof_7.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (NormedAddCommGroup.toAddCommGroup.{u4} G _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7) (UniformSpace.toTopologicalSpace.{u4} G (PseudoMetricSpace.toUniformSpace.{u4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)))) (ContinuousLinearMap.FpowerSeriesBilinear._proof_8.{u4} G _inst_6) (ContinuousLinearMap.FpowerSeriesBilinear._proof_9.{u1, u4} 𝕜 _inst_1 G _inst_6 _inst_7))
-but is expected to have type
-  PUnit.{max (max (max (succ (succ u1)) (succ (succ u2))) (succ (succ u3))) (succ (succ u4))}
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.fpower_series_bilinear ContinuousLinearMap.fpowerSeriesBilinearₓ'. -/
 /-- Formal multilinear series expansion of a bilinear function `f : E →L[𝕜] F →L[𝕜] G`. -/
 @[simp]

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

@@ -30,6 +30,12 @@ noncomputable section
 
 namespace ContinuousLinearMap
 
+/- warning: continuous_linear_map.fpower_series -> ContinuousLinearMap.fpowerSeries is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)], (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) -> E -> (FormalMultilinearSeries.{u1, u2, u3} 𝕜 E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (ContinuousLinearMap.FpowerSeries._proof_1.{u2} E _inst_2) (ContinuousLinearMap.FpowerSeries._proof_2.{u1, u2} 𝕜 _inst_1 E _inst_2 _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousLinearMap.FpowerSeries._proof_3.{u3} F _inst_4) (ContinuousLinearMap.FpowerSeries._proof_4.{u1, u3} 𝕜 _inst_1 F _inst_4 _inst_5))
+but is expected to have type
+  PUnit.{max (max (succ (succ u1)) (succ (succ u2))) (succ (succ u3))}
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.fpower_series ContinuousLinearMap.fpowerSeriesₓ'. -/
 /-- Formal power series of a continuous linear map `f : E →L[𝕜] F` at `x : E`:
 `f y = f x + f (y - x)`. -/
 @[simp]
@@ -82,6 +88,12 @@ theorem uncurryBilinear_apply (f : E →L[𝕜] F →L[𝕜] G) (m : Fin 2 → E
   rfl
 #align continuous_linear_map.uncurry_bilinear_apply ContinuousLinearMap.uncurryBilinear_apply
 
+/- warning: continuous_linear_map.fpower_series_bilinear -> ContinuousLinearMap.fpowerSeriesBilinear is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {G : Type.{u4}} [_inst_6 : NormedAddCommGroup.{u4} G] [_inst_7 : NormedSpace.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)], (ContinuousLinearMap.{u1, u1, u2, max u3 u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ContinuousLinearMap.{u1, u1, u3, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) G (UniformSpace.toTopologicalSpace.{u4} G (PseudoMetricSpace.toUniformSpace.{u4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)))) (AddCommGroup.toAddCommMonoid.{u4} G (NormedAddCommGroup.toAddCommGroup.{u4} G _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u4} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F G (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddCommGroup.toAddCommGroup.{u4} G _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u4} G (PseudoMetricSpace.toUniformSpace.{u4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)))) (ContinuousLinearMap.FpowerSeriesBilinear._proof_1.{u4} G _inst_6)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u3, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) G (UniformSpace.toTopologicalSpace.{u4} G (PseudoMetricSpace.toUniformSpace.{u4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)))) (AddCommGroup.toAddCommMonoid.{u4} G (NormedAddCommGroup.toAddCommGroup.{u4} G _inst_6)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7) (ContinuousLinearMap.FpowerSeriesBilinear._proof_2.{u4} G _inst_6)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u3, u4} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) G (UniformSpace.toTopologicalSpace.{u4} G (PseudoMetricSpace.toUniformSpace.{u4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)))) (AddCommGroup.toAddCommMonoid.{u4} G (NormedAddCommGroup.toAddCommGroup.{u4} G _inst_6)) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7) (ContinuousLinearMap.FpowerSeriesBilinear._proof_3.{u1, u4} 𝕜 _inst_1 G _inst_6 _inst_7) (ContinuousLinearMap.FpowerSeriesBilinear._proof_4.{u1, u4} 𝕜 _inst_1 G _inst_6 _inst_7) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.FpowerSeriesBilinear._proof_5.{u4} G _inst_6))) -> (Prod.{u2, u3} E F) -> (FormalMultilinearSeries.{u1, max u2 u3, u4} 𝕜 (Prod.{u2, u3} E F) G (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Prod.addCommGroup.{u2, u3} E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (Prod.module.{u1, u2, u3} 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Prod.topologicalSpace.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (ContinuousLinearMap.FpowerSeriesBilinear._proof_6.{u2, u3} E _inst_2 F _inst_4) (ContinuousLinearMap.FpowerSeriesBilinear._proof_7.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5) (NormedAddCommGroup.toAddCommGroup.{u4} G _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜 G (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6) _inst_7) (UniformSpace.toTopologicalSpace.{u4} G (PseudoMetricSpace.toUniformSpace.{u4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} G _inst_6)))) (ContinuousLinearMap.FpowerSeriesBilinear._proof_8.{u4} G _inst_6) (ContinuousLinearMap.FpowerSeriesBilinear._proof_9.{u1, u4} 𝕜 _inst_1 G _inst_6 _inst_7))
+but is expected to have type
+  PUnit.{max (max (max (succ (succ u1)) (succ (succ u2))) (succ (succ u3))) (succ (succ u4))}
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.fpower_series_bilinear ContinuousLinearMap.fpowerSeriesBilinearₓ'. -/
 /-- Formal multilinear series expansion of a bilinear function `f : E →L[𝕜] F →L[𝕜] G`. -/
 @[simp]
 def fpowerSeriesBilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) : FormalMultilinearSeries 𝕜 (E × F) G

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

@@ -22,7 +22,7 @@ variable {𝕜 : Type _} [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddC
   [NormedSpace 𝕜 E] {F : Type _} [NormedAddCommGroup F] [NormedSpace 𝕜 F] {G : Type _}
   [NormedAddCommGroup G] [NormedSpace 𝕜 G]
 
-open Topology Classical BigOperators NNReal Ennreal
+open Topology Classical BigOperators NNReal ENNReal
 
 open Set Filter Asymptotics
 
@@ -52,7 +52,7 @@ theorem fpowerSeries_radius (f : E →L[𝕜] F) (x : E) : (f.fpowerSeries x).ra
 protected theorem hasFpowerSeriesOnBall (f : E →L[𝕜] F) (x : E) :
     HasFpowerSeriesOnBall f (f.fpowerSeries x) x ∞ :=
   { r_le := by simp
-    r_pos := Ennreal.coe_lt_top
+    r_pos := ENNReal.coe_lt_top
     HasSum := fun y _ =>
       (hasSum_nat_add_iff' 2).1 <| by simp [Finset.sum_range_succ, ← sub_sub, hasSum_zero] }
 #align continuous_linear_map.has_fpower_series_on_ball ContinuousLinearMap.hasFpowerSeriesOnBall
@@ -100,7 +100,7 @@ theorem fpowerSeriesBilinear_radius (f : E →L[𝕜] F →L[𝕜] G) (x : E ×
 protected theorem hasFpowerSeriesOnBallBilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
     HasFpowerSeriesOnBall (fun x : E × F => f x.1 x.2) (f.fpowerSeriesBilinear x) x ∞ :=
   { r_le := by simp
-    r_pos := Ennreal.coe_lt_top
+    r_pos := ENNReal.coe_lt_top
     HasSum := fun y _ =>
       (hasSum_nat_add_iff' 3).1 <|
         by

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

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

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

@@ -3,7 +3,7 @@ Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 -/
-import Mathlib.Analysis.Analytic.Composition
+import Mathlib.Analysis.Analytic.Basic
 
 #align_import analysis.analytic.linear from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"
 

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

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

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

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

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

@@ -131,64 +131,22 @@ variable (𝕜)
 lemma analyticAt_id (z : E) : AnalyticAt 𝕜 (id : E → E) z :=
   (ContinuousLinearMap.id 𝕜 E).analyticAt z
 
-/-- Scalar multiplication is analytic (jointly in both variables). The statement is a little
-pedantic to allow towers of field extensions.
-
-TODO: can we replace `𝕜'` with a "normed module" in such a way that `analyticAt_mul` is a special
-case of this? -/
-lemma analyticAt_smul
-    {𝕝 : Type*} [NormedField 𝕝] [NormedAlgebra 𝕜 𝕝] [NormedSpace 𝕝 E] [IsScalarTower 𝕜 𝕝 E]
-    (z : 𝕝 × E) : AnalyticAt 𝕜 (fun x : 𝕝 × E ↦ x.1 • x.2) z :=
-  (ContinuousLinearMap.lsmul 𝕜 𝕝).analyticAt_bilinear z
-
-/-- Multiplication in a normed algebra over `𝕜` is -/
-lemma analyticAt_mul {A : Type*} [NormedRing A] [NormedAlgebra 𝕜 A] (z : A × A) :
-    AnalyticAt 𝕜 (fun x : A × A ↦ x.1 * x.2) z :=
-  (ContinuousLinearMap.mul 𝕜 A).analyticAt_bilinear z
-
-namespace AnalyticAt
-variable {𝕜}
-
-/-- Scalar multiplication of one analytic function by another. -/
-lemma smul {𝕝 : Type*} [NontriviallyNormedField 𝕝] [NormedSpace 𝕝 F] [NormedAlgebra 𝕜 𝕝]
-    [IsScalarTower 𝕜 𝕝 F] {f : E → 𝕝} {g : E → F} {z : E}
-    (hf : AnalyticAt 𝕜 f z) (hg : AnalyticAt 𝕜 g z) :
-    AnalyticAt 𝕜 (f • g) z :=
-  @AnalyticAt.comp 𝕜 E (𝕝 × F) F _ _ _ _ _ _ _
-    (fun x ↦ x.1 • x.2) (fun e ↦ (f e, g e)) z (analyticAt_smul _ _) (hf.prod hg)
-
-/-- Multiplication of analytic functions (valued in a normd `𝕜`-algebra) is analytic. -/
-lemma mul {A : Type*} [NormedRing A] [NormedAlgebra 𝕜 A]
-    {f g : E → A} {z : E}
-    (hf : AnalyticAt 𝕜 f z) (hg : AnalyticAt 𝕜 g z) : AnalyticAt 𝕜 (f * g) z :=
-  @AnalyticAt.comp 𝕜 E (A × A) A _ _ _ _ _ _ _
-    (fun x ↦ x.1 * x.2) (fun e ↦ (f e, g e)) z (analyticAt_mul _ (f z, g z)) (hf.prod hg)
-
-/-- Powers of analytic functions (into a normed `𝕜`-algebra) are analytic. -/
-lemma pow {A : Type*} [NormedRing A] [NormedAlgebra 𝕜 A]
-    {f : E → A} {z : E} (hf : AnalyticAt 𝕜 f z) (n : ℕ) :
-    AnalyticAt 𝕜 (f ^ n) z := by
-  induction' n with m hm
-  · rw [pow_zero]
-    exact (analyticAt_const : AnalyticAt 𝕜 (fun _ ↦ (1 : A)) z)
-  · exact pow_succ f m ▸ hf.mul hm
-
-end AnalyticAt
-
-/-- If `𝕝` is a normed field extension of `𝕜`, then the inverse map `𝕝 → 𝕝` is `𝕜`-analytic
-away from 0. -/
-lemma analyticAt_inv {𝕝 : Type*} [NontriviallyNormedField 𝕝] [NormedAlgebra 𝕜 𝕝]
-    {z : 𝕝} (hz : z ≠ 0) : AnalyticAt 𝕜 Inv.inv z := by
-  let f1 : 𝕝 → 𝕝 := fun a ↦ 1 / z * a
-  let f2 : 𝕝 → 𝕝 := fun b ↦ (1 - b)⁻¹
-  let f3 : 𝕝 → 𝕝 := fun c ↦ 1 - c / z
-  have feq : f1 ∘ f2 ∘ f3 = Inv.inv
-  · ext1 x
-    dsimp only [Function.comp_apply]
-    field_simp
-  have f3val : f3 z = 0 := by simp only [div_self hz, sub_self]
-  have f3an : AnalyticAt 𝕜 f3 z
-  · apply analyticAt_const.sub
-    simpa only [div_eq_inv_mul] using analyticAt_const.mul (analyticAt_id 𝕜 z)
-  exact feq ▸ (analyticAt_const.mul (analyticAt_id _ _)).comp
-    ((f3val.symm ▸ analyticAt_inv_one_sub 𝕝).comp f3an)
+/-- `id` is entire -/
+theorem analyticOn_id {s : Set E} : AnalyticOn 𝕜 (fun x : E ↦ x) s :=
+  fun _ _ ↦ analyticAt_id _ _
+
+/-- `fst` is analytic -/
+theorem analyticAt_fst {p : E × F} : AnalyticAt 𝕜 (fun p : E × F ↦ p.fst) p :=
+  (ContinuousLinearMap.fst 𝕜 E F).analyticAt p
+
+/-- `snd` is analytic -/
+theorem analyticAt_snd {p : E × F} : AnalyticAt 𝕜 (fun p : E × F ↦ p.snd) p :=
+  (ContinuousLinearMap.snd 𝕜 E F).analyticAt p
+
+/-- `fst` is entire -/
+theorem analyticOn_fst {s : Set (E × F)} : AnalyticOn 𝕜 (fun p : E × F ↦ p.fst) s :=
+  fun _ _ ↦ analyticAt_fst _
+
+/-- `snd` is entire -/
+theorem analyticOn_snd {s : Set (E × F)} : AnalyticOn 𝕜 (fun p : E × F ↦ p.snd) s :=
+  fun _ _ ↦ analyticAt_snd _

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

@@ -3,7 +3,7 @@ Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 -/
-import Mathlib.Analysis.Analytic.Basic
+import Mathlib.Analysis.Analytic.Composition
 
 #align_import analysis.analytic.linear from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"
 
@@ -11,7 +11,7 @@ import Mathlib.Analysis.Analytic.Basic
 # Linear functions are analytic
 
 In this file we prove that a `ContinuousLinearMap` defines an analytic function with
-the formal power series `f x = f a + f (x - a)`.
+the formal power series `f x = f a + f (x - a)`. We also prove similar results for multilinear maps.
 -/
 
 
@@ -27,30 +27,6 @@ noncomputable section
 
 namespace ContinuousLinearMap
 
-/-- Formal power series of a continuous linear map `f : E →L[𝕜] F` at `x : E`:
-`f y = f x + f (y - x)`. -/
-def fpowerSeries (f : E →L[𝕜] F) (x : E) : FormalMultilinearSeries 𝕜 E F
-  | 0 => ContinuousMultilinearMap.curry0 𝕜 _ (f x)
-  | 1 => (continuousMultilinearCurryFin1 𝕜 E F).symm f
-  | _ => 0
-#align continuous_linear_map.fpower_series ContinuousLinearMap.fpowerSeries
-
-theorem fpower_series_apply_zero (f : E →L[𝕜] F) (x : E) :
-    f.fpowerSeries x 0 = ContinuousMultilinearMap.curry0 𝕜 _ (f x) :=
-  rfl
-
-theorem fpower_series_apply_one (f : E →L[𝕜] F) (x : E) :
-    f.fpowerSeries x 1 = (continuousMultilinearCurryFin1 𝕜 E F).symm f :=
-  rfl
-
-theorem fpowerSeries_apply_add_two (f : E →L[𝕜] F) (x : E) (n : ℕ) : f.fpowerSeries x (n + 2) = 0 :=
-  rfl
-#align continuous_linear_map.fpower_series_apply_add_two ContinuousLinearMap.fpowerSeries_apply_add_two
-
-attribute
-  [eqns fpower_series_apply_zero fpower_series_apply_one fpowerSeries_apply_add_two] fpowerSeries
-attribute [simp] fpowerSeries
-
 @[simp]
 theorem fpowerSeries_radius (f : E →L[𝕜] F) (x : E) : (f.fpowerSeries x).radius = ∞ :=
   (f.fpowerSeries x).radius_eq_top_of_forall_image_add_eq_zero 2 fun _ => rfl
@@ -149,3 +125,70 @@ protected theorem analyticAt_bilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E 
 #align continuous_linear_map.analytic_at_bilinear ContinuousLinearMap.analyticAt_bilinear
 
 end ContinuousLinearMap
+
+variable (𝕜)
+
+lemma analyticAt_id (z : E) : AnalyticAt 𝕜 (id : E → E) z :=
+  (ContinuousLinearMap.id 𝕜 E).analyticAt z
+
+/-- Scalar multiplication is analytic (jointly in both variables). The statement is a little
+pedantic to allow towers of field extensions.
+
+TODO: can we replace `𝕜'` with a "normed module" in such a way that `analyticAt_mul` is a special
+case of this? -/
+lemma analyticAt_smul
+    {𝕝 : Type*} [NormedField 𝕝] [NormedAlgebra 𝕜 𝕝] [NormedSpace 𝕝 E] [IsScalarTower 𝕜 𝕝 E]
+    (z : 𝕝 × E) : AnalyticAt 𝕜 (fun x : 𝕝 × E ↦ x.1 • x.2) z :=
+  (ContinuousLinearMap.lsmul 𝕜 𝕝).analyticAt_bilinear z
+
+/-- Multiplication in a normed algebra over `𝕜` is -/
+lemma analyticAt_mul {A : Type*} [NormedRing A] [NormedAlgebra 𝕜 A] (z : A × A) :
+    AnalyticAt 𝕜 (fun x : A × A ↦ x.1 * x.2) z :=
+  (ContinuousLinearMap.mul 𝕜 A).analyticAt_bilinear z
+
+namespace AnalyticAt
+variable {𝕜}
+
+/-- Scalar multiplication of one analytic function by another. -/
+lemma smul {𝕝 : Type*} [NontriviallyNormedField 𝕝] [NormedSpace 𝕝 F] [NormedAlgebra 𝕜 𝕝]
+    [IsScalarTower 𝕜 𝕝 F] {f : E → 𝕝} {g : E → F} {z : E}
+    (hf : AnalyticAt 𝕜 f z) (hg : AnalyticAt 𝕜 g z) :
+    AnalyticAt 𝕜 (f • g) z :=
+  @AnalyticAt.comp 𝕜 E (𝕝 × F) F _ _ _ _ _ _ _
+    (fun x ↦ x.1 • x.2) (fun e ↦ (f e, g e)) z (analyticAt_smul _ _) (hf.prod hg)
+
+/-- Multiplication of analytic functions (valued in a normd `𝕜`-algebra) is analytic. -/
+lemma mul {A : Type*} [NormedRing A] [NormedAlgebra 𝕜 A]
+    {f g : E → A} {z : E}
+    (hf : AnalyticAt 𝕜 f z) (hg : AnalyticAt 𝕜 g z) : AnalyticAt 𝕜 (f * g) z :=
+  @AnalyticAt.comp 𝕜 E (A × A) A _ _ _ _ _ _ _
+    (fun x ↦ x.1 * x.2) (fun e ↦ (f e, g e)) z (analyticAt_mul _ (f z, g z)) (hf.prod hg)
+
+/-- Powers of analytic functions (into a normed `𝕜`-algebra) are analytic. -/
+lemma pow {A : Type*} [NormedRing A] [NormedAlgebra 𝕜 A]
+    {f : E → A} {z : E} (hf : AnalyticAt 𝕜 f z) (n : ℕ) :
+    AnalyticAt 𝕜 (f ^ n) z := by
+  induction' n with m hm
+  · rw [pow_zero]
+    exact (analyticAt_const : AnalyticAt 𝕜 (fun _ ↦ (1 : A)) z)
+  · exact pow_succ f m ▸ hf.mul hm
+
+end AnalyticAt
+
+/-- If `𝕝` is a normed field extension of `𝕜`, then the inverse map `𝕝 → 𝕝` is `𝕜`-analytic
+away from 0. -/
+lemma analyticAt_inv {𝕝 : Type*} [NontriviallyNormedField 𝕝] [NormedAlgebra 𝕜 𝕝]
+    {z : 𝕝} (hz : z ≠ 0) : AnalyticAt 𝕜 Inv.inv z := by
+  let f1 : 𝕝 → 𝕝 := fun a ↦ 1 / z * a
+  let f2 : 𝕝 → 𝕝 := fun b ↦ (1 - b)⁻¹
+  let f3 : 𝕝 → 𝕝 := fun c ↦ 1 - c / z
+  have feq : f1 ∘ f2 ∘ f3 = Inv.inv
+  · ext1 x
+    dsimp only [Function.comp_apply]
+    field_simp
+  have f3val : f3 z = 0 := by simp only [div_self hz, sub_self]
+  have f3an : AnalyticAt 𝕜 f3 z
+  · apply analyticAt_const.sub
+    simpa only [div_eq_inv_mul] using analyticAt_const.mul (analyticAt_id 𝕜 z)
+  exact feq ▸ (analyticAt_const.mul (analyticAt_id _ _)).comp
+    ((f3val.symm ▸ analyticAt_inv_one_sub 𝕝).comp f3an)

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

This has nice performance benefits.

@@ -15,8 +15,8 @@ the formal power series `f x = f a + f (x - a)`.
 -/
 
 
-variable {𝕜 : Type _} [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddCommGroup E]
-  [NormedSpace 𝕜 E] {F : Type _} [NormedAddCommGroup F] [NormedSpace 𝕜 F] {G : Type _}
+variable {𝕜 : Type*} [NontriviallyNormedField 𝕜] {E : Type*} [NormedAddCommGroup E]
+  [NormedSpace 𝕜 E] {F : Type*} [NormedAddCommGroup F] [NormedSpace 𝕜 F] {G : Type*}
   [NormedAddCommGroup G] [NormedSpace 𝕜 G]
 
 open scoped Topology Classical BigOperators NNReal ENNReal

• depends on: #5966

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

@@ -2,14 +2,11 @@
 Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
-
-! This file was ported from Lean 3 source module analysis.analytic.linear
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Analytic.Basic
 
+#align_import analysis.analytic.linear from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"
+
 /-!
 # Linear functions are analytic
 

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

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

@@ -32,18 +32,28 @@ namespace ContinuousLinearMap
 
 /-- Formal power series of a continuous linear map `f : E →L[𝕜] F` at `x : E`:
 `f y = f x + f (y - x)`. -/
-@[simp]
 def fpowerSeries (f : E →L[𝕜] F) (x : E) : FormalMultilinearSeries 𝕜 E F
   | 0 => ContinuousMultilinearMap.curry0 𝕜 _ (f x)
   | 1 => (continuousMultilinearCurryFin1 𝕜 E F).symm f
   | _ => 0
 #align continuous_linear_map.fpower_series ContinuousLinearMap.fpowerSeries
 
-@[simp]
+theorem fpower_series_apply_zero (f : E →L[𝕜] F) (x : E) :
+    f.fpowerSeries x 0 = ContinuousMultilinearMap.curry0 𝕜 _ (f x) :=
+  rfl
+
+theorem fpower_series_apply_one (f : E →L[𝕜] F) (x : E) :
+    f.fpowerSeries x 1 = (continuousMultilinearCurryFin1 𝕜 E F).symm f :=
+  rfl
+
 theorem fpowerSeries_apply_add_two (f : E →L[𝕜] F) (x : E) (n : ℕ) : f.fpowerSeries x (n + 2) = 0 :=
   rfl
 #align continuous_linear_map.fpower_series_apply_add_two ContinuousLinearMap.fpowerSeries_apply_add_two
 
+attribute
+  [eqns fpower_series_apply_zero fpower_series_apply_one fpowerSeries_apply_add_two] fpowerSeries
+attribute [simp] fpowerSeries
+
 @[simp]
 theorem fpowerSeries_radius (f : E →L[𝕜] F) (x : E) : (f.fpowerSeries x).radius = ∞ :=
   (f.fpowerSeries x).radius_eq_top_of_forall_image_add_eq_zero 2 fun _ => rfl
@@ -69,7 +79,7 @@ protected theorem analyticAt (f : E →L[𝕜] F) (x : E) : AnalyticAt 𝕜 f x
 /-- Reinterpret a bilinear map `f : E →L[𝕜] F →L[𝕜] G` as a multilinear map
 `(E × F) [×2]→L[𝕜] G`. This multilinear map is the second term in the formal
 multilinear series expansion of `uncurry f`. It is given by
-`f.uncurry_bilinear ![(x, y), (x', y')] = f x y'`. -/
+`f.uncurryBilinear ![(x, y), (x', y')] = f x y'`. -/
 def uncurryBilinear (f : E →L[𝕜] F →L[𝕜] G) : E × F[×2]→L[𝕜] G :=
   @ContinuousLinearMap.uncurryLeft 𝕜 1 (fun _ => E × F) G _ _ _ _ _ <|
     (↑(continuousMultilinearCurryFin1 𝕜 (E × F) G).symm : (E × F →L[𝕜] G) →L[𝕜] _).comp <|
@@ -83,7 +93,6 @@ theorem uncurryBilinear_apply (f : E →L[𝕜] F →L[𝕜] G) (m : Fin 2 → E
 #align continuous_linear_map.uncurry_bilinear_apply ContinuousLinearMap.uncurryBilinear_apply
 
 /-- Formal multilinear series expansion of a bilinear function `f : E →L[𝕜] F →L[𝕜] G`. -/
-@[simp]
 def fpowerSeriesBilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) : FormalMultilinearSeries 𝕜 (E × F) G
   | 0 => ContinuousMultilinearMap.curry0 𝕜 _ (f x.1 x.2)
   | 1 => (continuousMultilinearCurryFin1 𝕜 (E × F) G).symm (f.deriv₂ x)
@@ -91,6 +100,30 @@ def fpowerSeriesBilinear (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) : Formal
   | _ => 0
 #align continuous_linear_map.fpower_series_bilinear ContinuousLinearMap.fpowerSeriesBilinear
 
+theorem fpowerSeriesBilinear_apply_zero (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
+    fpowerSeriesBilinear f x 0 = ContinuousMultilinearMap.curry0 𝕜 _ (f x.1 x.2) :=
+  rfl
+
+theorem fpowerSeriesBilinear_apply_one (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
+    fpowerSeriesBilinear f x 1 = (continuousMultilinearCurryFin1 𝕜 (E × F) G).symm (f.deriv₂ x) :=
+  rfl
+
+theorem fpowerSeriesBilinear_apply_two (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
+    fpowerSeriesBilinear f x 2 = f.uncurryBilinear :=
+  rfl
+
+theorem fpowerSeriesBilinear_apply_add_three (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) (n) :
+    fpowerSeriesBilinear f x (n + 3) = 0 :=
+  rfl
+
+attribute
+  [eqns
+    fpowerSeriesBilinear_apply_zero
+    fpowerSeriesBilinear_apply_one
+    fpowerSeriesBilinear_apply_two
+    fpowerSeriesBilinear_apply_add_three] fpowerSeriesBilinear
+attribute [simp] fpowerSeriesBilinear
+
 @[simp]
 theorem fpowerSeriesBilinear_radius (f : E →L[𝕜] F →L[𝕜] G) (x : E × F) :
     (f.fpowerSeriesBilinear x).radius = ∞ :=

Co-authored-by: Johan Commelin <johan@commelin.net>