measure_theory.function.special_functions.inner ⟷ Mathlib.MeasureTheory.Function.SpecialFunctions.Inner

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

@@ -18,7 +18,7 @@ import MeasureTheory.Constructions.BorelSpace.Complex
 
 variable {α : Type _} {𝕜 : Type _} {E : Type _}
 
-variable [IsROrC 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
+variable [RCLike 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 

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

@@ -25,8 +25,8 @@ local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 #print Measurable.inner /-
 @[measurability]
 theorem Measurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
-    [TopologicalSpace.SecondCountableTopology E] {f g : α → E} (hf : Measurable f)
-    (hg : Measurable g) : Measurable fun t => ⟪f t, g t⟫ :=
+    [SecondCountableTopology E] {f g : α → E} (hf : Measurable f) (hg : Measurable g) :
+    Measurable fun t => ⟪f t, g t⟫ :=
   Continuous.measurable2 continuous_inner hf hg
 #align measurable.inner Measurable.inner
 -/
@@ -34,8 +34,8 @@ theorem Measurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeas
 #print AEMeasurable.inner /-
 @[measurability]
 theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
-    [TopologicalSpace.SecondCountableTopology E] {μ : MeasureTheory.Measure α} {f g : α → E}
-    (hf : AEMeasurable f μ) (hg : AEMeasurable g μ) : AEMeasurable (fun x => ⟪f x, g x⟫) μ :=
+    [SecondCountableTopology E] {μ : MeasureTheory.Measure α} {f g : α → E} (hf : AEMeasurable f μ)
+    (hg : AEMeasurable g μ) : AEMeasurable (fun x => ⟪f x, g x⟫) μ :=
   by
   refine' ⟨fun x => ⟪hf.mk f x, hg.mk g x⟫, hf.measurable_mk.inner hg.measurable_mk, _⟩
   refine' hf.ae_eq_mk.mp (hg.ae_eq_mk.mono fun x hxg hxf => _)

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

@@ -3,8 +3,8 @@ Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.Analysis.InnerProductSpace.Basic
-import Mathbin.MeasureTheory.Constructions.BorelSpace.Complex
+import Analysis.InnerProductSpace.Basic
+import MeasureTheory.Constructions.BorelSpace.Complex
 
 #align_import measure_theory.function.special_functions.inner from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
 

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

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module measure_theory.function.special_functions.inner
-! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.InnerProductSpace.Basic
 import Mathbin.MeasureTheory.Constructions.BorelSpace.Complex
 
+#align_import measure_theory.function.special_functions.inner from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
+
 /-!
 # Measurability of scalar products
 

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

@@ -23,16 +23,18 @@ variable {α : Type _} {𝕜 : Type _} {E : Type _}
 
 variable [IsROrC 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 
--- mathport name: «expr⟪ , ⟫»
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 
+#print Measurable.inner /-
 @[measurability]
 theorem Measurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [TopologicalSpace.SecondCountableTopology E] {f g : α → E} (hf : Measurable f)
     (hg : Measurable g) : Measurable fun t => ⟪f t, g t⟫ :=
   Continuous.measurable2 continuous_inner hf hg
 #align measurable.inner Measurable.inner
+-/
 
+#print AEMeasurable.inner /-
 @[measurability]
 theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [TopologicalSpace.SecondCountableTopology E] {μ : MeasureTheory.Measure α} {f g : α → E}
@@ -44,4 +46,5 @@ theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMe
   congr
   exacts [hxf, hxg]
 #align ae_measurable.inner AEMeasurable.inner
+-/
 

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

@@ -42,6 +42,6 @@ theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMe
   refine' hf.ae_eq_mk.mp (hg.ae_eq_mk.mono fun x hxg hxf => _)
   dsimp only
   congr
-  exacts[hxf, hxg]
+  exacts [hxf, hxg]
 #align ae_measurable.inner AEMeasurable.inner
 

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

@@ -26,12 +26,6 @@ variable [IsROrC 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 -- mathport name: «expr⟪ , ⟫»
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 
-/- warning: measurable.inner -> Measurable.inner is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u2, u3} 𝕜 E _inst_1 _inst_2] {m : MeasurableSpace.{u1} α} [_inst_4 : MeasurableSpace.{u3} E] [_inst_5 : OpensMeasurableSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) _inst_4] [_inst_6 : TopologicalSpace.SecondCountableTopology.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))] {f : α -> E} {g : α -> E}, (Measurable.{u1, u3} α E m _inst_4 f) -> (Measurable.{u1, u3} α E m _inst_4 g) -> (Measurable.{u1, u2} α 𝕜 m (IsROrC.measurableSpace.{u2} 𝕜 _inst_1) (fun (t : α) => Inner.inner.{u2, u3} 𝕜 E (InnerProductSpace.toHasInner.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (f t) (g t)))
-but is expected to have type
-  forall {α : Type.{u3}} {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {m : MeasurableSpace.{u3} α} [_inst_4 : MeasurableSpace.{u2} E] [_inst_5 : OpensMeasurableSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_4] [_inst_6 : TopologicalSpace.SecondCountableTopology.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))] {f : α -> E} {g : α -> E}, (Measurable.{u3, u2} α E m _inst_4 f) -> (Measurable.{u3, u2} α E m _inst_4 g) -> (Measurable.{u3, u1} α 𝕜 m (IsROrC.measurableSpace.{u1} 𝕜 _inst_1) (fun (t : α) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (f t) (g t)))
-Case conversion may be inaccurate. Consider using '#align measurable.inner Measurable.innerₓ'. -/
 @[measurability]
 theorem Measurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [TopologicalSpace.SecondCountableTopology E] {f g : α → E} (hf : Measurable f)
@@ -39,12 +33,6 @@ theorem Measurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeas
   Continuous.measurable2 continuous_inner hf hg
 #align measurable.inner Measurable.inner
 
-/- warning: ae_measurable.inner -> AEMeasurable.inner is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u2, u3} 𝕜 E _inst_1 _inst_2] {m : MeasurableSpace.{u1} α} [_inst_4 : MeasurableSpace.{u3} E] [_inst_5 : OpensMeasurableSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) _inst_4] [_inst_6 : TopologicalSpace.SecondCountableTopology.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))] {μ : MeasureTheory.Measure.{u1} α m} {f : α -> E} {g : α -> E}, (AEMeasurable.{u1, u3} α E _inst_4 m f μ) -> (AEMeasurable.{u1, u3} α E _inst_4 m g μ) -> (AEMeasurable.{u1, u2} α 𝕜 (IsROrC.measurableSpace.{u2} 𝕜 _inst_1) m (fun (x : α) => Inner.inner.{u2, u3} 𝕜 E (InnerProductSpace.toHasInner.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (f x) (g x)) μ)
-but is expected to have type
-  forall {α : Type.{u3}} {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {m : MeasurableSpace.{u3} α} [_inst_4 : MeasurableSpace.{u2} E] [_inst_5 : OpensMeasurableSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_4] [_inst_6 : TopologicalSpace.SecondCountableTopology.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))] {μ : MeasureTheory.Measure.{u3} α m} {f : α -> E} {g : α -> E}, (AEMeasurable.{u3, u2} α E _inst_4 m f μ) -> (AEMeasurable.{u3, u2} α E _inst_4 m g μ) -> (AEMeasurable.{u3, u1} α 𝕜 (IsROrC.measurableSpace.{u1} 𝕜 _inst_1) m (fun (x : α) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (f x) (g x)) μ)
-Case conversion may be inaccurate. Consider using '#align ae_measurable.inner AEMeasurable.innerₓ'. -/
 @[measurability]
 theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [TopologicalSpace.SecondCountableTopology E] {μ : MeasureTheory.Measure α} {f g : α → E}

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module measure_theory.function.special_functions.inner
-! leanprover-community/mathlib commit bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf
+! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.MeasureTheory.Constructions.BorelSpace.Complex
 
 /-!
 # Measurability of scalar products
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 -/
 
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/e1a18cad9cd462973d760af7de36b05776b8811c

@@ -23,6 +23,12 @@ variable [IsROrC 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 -- mathport name: «expr⟪ , ⟫»
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 
+/- warning: measurable.inner -> Measurable.inner is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u2, u3} 𝕜 E _inst_1 _inst_2] {m : MeasurableSpace.{u1} α} [_inst_4 : MeasurableSpace.{u3} E] [_inst_5 : OpensMeasurableSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) _inst_4] [_inst_6 : TopologicalSpace.SecondCountableTopology.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))] {f : α -> E} {g : α -> E}, (Measurable.{u1, u3} α E m _inst_4 f) -> (Measurable.{u1, u3} α E m _inst_4 g) -> (Measurable.{u1, u2} α 𝕜 m (IsROrC.measurableSpace.{u2} 𝕜 _inst_1) (fun (t : α) => Inner.inner.{u2, u3} 𝕜 E (InnerProductSpace.toHasInner.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (f t) (g t)))
+but is expected to have type
+  forall {α : Type.{u3}} {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {m : MeasurableSpace.{u3} α} [_inst_4 : MeasurableSpace.{u2} E] [_inst_5 : OpensMeasurableSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_4] [_inst_6 : TopologicalSpace.SecondCountableTopology.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))] {f : α -> E} {g : α -> E}, (Measurable.{u3, u2} α E m _inst_4 f) -> (Measurable.{u3, u2} α E m _inst_4 g) -> (Measurable.{u3, u1} α 𝕜 m (IsROrC.measurableSpace.{u1} 𝕜 _inst_1) (fun (t : α) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (f t) (g t)))
+Case conversion may be inaccurate. Consider using '#align measurable.inner Measurable.innerₓ'. -/
 @[measurability]
 theorem Measurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [TopologicalSpace.SecondCountableTopology E] {f g : α → E} (hf : Measurable f)
@@ -30,6 +36,12 @@ theorem Measurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeas
   Continuous.measurable2 continuous_inner hf hg
 #align measurable.inner Measurable.inner
 
+/- warning: ae_measurable.inner -> AEMeasurable.inner is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : IsROrC.{u2} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : InnerProductSpace.{u2, u3} 𝕜 E _inst_1 _inst_2] {m : MeasurableSpace.{u1} α} [_inst_4 : MeasurableSpace.{u3} E] [_inst_5 : OpensMeasurableSpace.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) _inst_4] [_inst_6 : TopologicalSpace.SecondCountableTopology.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))] {μ : MeasureTheory.Measure.{u1} α m} {f : α -> E} {g : α -> E}, (AEMeasurable.{u1, u3} α E _inst_4 m f μ) -> (AEMeasurable.{u1, u3} α E _inst_4 m g μ) -> (AEMeasurable.{u1, u2} α 𝕜 (IsROrC.measurableSpace.{u2} 𝕜 _inst_1) m (fun (x : α) => Inner.inner.{u2, u3} 𝕜 E (InnerProductSpace.toHasInner.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (f x) (g x)) μ)
+but is expected to have type
+  forall {α : Type.{u3}} {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : IsROrC.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : InnerProductSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {m : MeasurableSpace.{u3} α} [_inst_4 : MeasurableSpace.{u2} E] [_inst_5 : OpensMeasurableSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_4] [_inst_6 : TopologicalSpace.SecondCountableTopology.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))] {μ : MeasureTheory.Measure.{u3} α m} {f : α -> E} {g : α -> E}, (AEMeasurable.{u3, u2} α E _inst_4 m f μ) -> (AEMeasurable.{u3, u2} α E _inst_4 m g μ) -> (AEMeasurable.{u3, u1} α 𝕜 (IsROrC.measurableSpace.{u1} 𝕜 _inst_1) m (fun (x : α) => Inner.inner.{u1, u2} 𝕜 E (InnerProductSpace.toInner.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (f x) (g x)) μ)
+Case conversion may be inaccurate. Consider using '#align ae_measurable.inner AEMeasurable.innerₓ'. -/
 @[measurability]
 theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [TopologicalSpace.SecondCountableTopology E] {μ : MeasureTheory.Measure α} {f g : α → E}

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

@@ -4,12 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module measure_theory.function.special_functions.inner
-! leanprover-community/mathlib commit 46b633fd842bef9469441c0209906f6dddd2b4f5
+! leanprover-community/mathlib commit bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.InnerProductSpace.Basic
-import Mathbin.MeasureTheory.Constructions.BorelSpace
+import Mathbin.MeasureTheory.Constructions.BorelSpace.Complex
 
 /-!
 # Measurability of scalar products

mathlib commit https://github.com/leanprover-community/mathlib/commit/92c69b77c5a7dc0f7eeddb552508633305157caa

@@ -31,14 +31,14 @@ theorem Measurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeas
 #align measurable.inner Measurable.inner
 
 @[measurability]
-theorem AeMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
+theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [TopologicalSpace.SecondCountableTopology E] {μ : MeasureTheory.Measure α} {f g : α → E}
-    (hf : AeMeasurable f μ) (hg : AeMeasurable g μ) : AeMeasurable (fun x => ⟪f x, g x⟫) μ :=
+    (hf : AEMeasurable f μ) (hg : AEMeasurable g μ) : AEMeasurable (fun x => ⟪f x, g x⟫) μ :=
   by
   refine' ⟨fun x => ⟪hf.mk f x, hg.mk g x⟫, hf.measurable_mk.inner hg.measurable_mk, _⟩
   refine' hf.ae_eq_mk.mp (hg.ae_eq_mk.mono fun x hxg hxf => _)
   dsimp only
   congr
   exacts[hxf, hxg]
-#align ae_measurable.inner AeMeasurable.inner
+#align ae_measurable.inner AEMeasurable.inner
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/55d771df074d0dd020139ee1cd4b95521422df9f

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module measure_theory.function.special_functions.inner
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 46b633fd842bef9469441c0209906f6dddd2b4f5
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,7 +16,9 @@ import Mathbin.MeasureTheory.Constructions.BorelSpace
 -/
 
 
-variable {α : Type _} {𝕜 : Type _} {E : Type _} [IsROrC 𝕜] [InnerProductSpace 𝕜 E]
+variable {α : Type _} {𝕜 : Type _} {E : Type _}
+
+variable [IsROrC 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 
 -- mathport name: «expr⟪ , ⟫»
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y

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

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

@@ -14,7 +14,7 @@ import Mathlib.MeasureTheory.Constructions.BorelSpace.Complex
 
 
 variable {α : Type*} {𝕜 : Type*} {E : Type*}
-variable [IsROrC 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
+variable [RCLike 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

@@ -14,7 +14,6 @@ import Mathlib.MeasureTheory.Constructions.BorelSpace.Complex
 
 
 variable {α : Type*} {𝕜 : Type*} {E : Type*}
-
 variable [IsROrC 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y

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

@@ -19,7 +19,7 @@ variable [IsROrC 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 
-@[aesop safe 20 apply (rule_sets [Measurable])]
+@[aesop safe 20 apply (rule_sets := [Measurable])]
 theorem Measurable.inner {_ : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [SecondCountableTopology E] {f g : α → E} (hf : Measurable f)
     (hg : Measurable g) : Measurable fun t => ⟪f t, g t⟫ :=
@@ -38,7 +38,7 @@ theorem Measurable.inner_const {_ : MeasurableSpace α} [MeasurableSpace E] [Ope
     Measurable fun t => ⟪f t, c⟫ :=
   Measurable.inner hf measurable_const
 
-@[aesop safe 20 apply (rule_sets [Measurable])]
+@[aesop safe 20 apply (rule_sets := [Measurable])]
 theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [SecondCountableTopology E] {μ : MeasureTheory.Measure α} {f g : α → E}
     (hf : AEMeasurable f μ) (hg : AEMeasurable g μ) : AEMeasurable (fun x => ⟪f x, g x⟫) μ := by

All the other properties of topological spaces like T0Space or RegularSpace are in the root namespace. Many files were opening TopologicalSpace just for the sake of shortening TopologicalSpace.SecondCountableTopology...

@@ -21,26 +21,26 @@ local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 
 @[aesop safe 20 apply (rule_sets [Measurable])]
 theorem Measurable.inner {_ : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
-    [TopologicalSpace.SecondCountableTopology E] {f g : α → E} (hf : Measurable f)
+    [SecondCountableTopology E] {f g : α → E} (hf : Measurable f)
     (hg : Measurable g) : Measurable fun t => ⟪f t, g t⟫ :=
   Continuous.measurable2 continuous_inner hf hg
 #align measurable.inner Measurable.inner
 
 @[measurability]
 theorem Measurable.const_inner {_ : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
-    [TopologicalSpace.SecondCountableTopology E] {c : E} {f : α → E} (hf : Measurable f) :
+    [SecondCountableTopology E] {c : E} {f : α → E} (hf : Measurable f) :
     Measurable fun t => ⟪c, f t⟫ :=
   Measurable.inner measurable_const hf
 
 @[measurability]
 theorem Measurable.inner_const {_ : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
-    [TopologicalSpace.SecondCountableTopology E] {c : E} {f : α → E} (hf : Measurable f) :
+    [SecondCountableTopology E] {c : E} {f : α → E} (hf : Measurable f) :
     Measurable fun t => ⟪f t, c⟫ :=
   Measurable.inner hf measurable_const
 
 @[aesop safe 20 apply (rule_sets [Measurable])]
 theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
-    [TopologicalSpace.SecondCountableTopology E] {μ : MeasureTheory.Measure α} {f g : α → E}
+    [SecondCountableTopology E] {μ : MeasureTheory.Measure α} {f g : α → E}
     (hf : AEMeasurable f μ) (hg : AEMeasurable g μ) : AEMeasurable (fun x => ⟪f x, g x⟫) μ := by
   refine' ⟨fun x => ⟪hf.mk f x, hg.mk g x⟫, hf.measurable_mk.inner hg.measurable_mk, _⟩
   refine' hf.ae_eq_mk.mp (hg.ae_eq_mk.mono fun x hxg hxf => _)
@@ -51,7 +51,7 @@ theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMe
 set_option linter.unusedVariables false in
 @[measurability]
 theorem AEMeasurable.const_inner {m : MeasurableSpace α} [MeasurableSpace E]
-    [OpensMeasurableSpace E] [TopologicalSpace.SecondCountableTopology E]
+    [OpensMeasurableSpace E] [SecondCountableTopology E]
     {μ : MeasureTheory.Measure α} {f : α → E} {c : E} (hf : AEMeasurable f μ) :
     AEMeasurable (fun x => ⟪c, f x⟫) μ :=
   AEMeasurable.inner aemeasurable_const hf
@@ -59,7 +59,7 @@ theorem AEMeasurable.const_inner {m : MeasurableSpace α} [MeasurableSpace E]
 set_option linter.unusedVariables false in
 @[measurability]
 theorem AEMeasurable.inner_const {m : MeasurableSpace α} [MeasurableSpace E]
-    [OpensMeasurableSpace E] [TopologicalSpace.SecondCountableTopology E]
+    [OpensMeasurableSpace E] [SecondCountableTopology E]
     {μ : MeasureTheory.Measure α} {f : α → E} {c : E} (hf : AEMeasurable f μ) :
     AEMeasurable (fun x => ⟪f x, c⟫) μ :=
   AEMeasurable.inner hf aemeasurable_const

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

This has nice performance benefits.

@@ -13,7 +13,7 @@ import Mathlib.MeasureTheory.Constructions.BorelSpace.Complex
 -/
 
 
-variable {α : Type _} {𝕜 : Type _} {E : Type _}
+variable {α : Type*} {𝕜 : Type*} {E : Type*}
 
 variable [IsROrC 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module measure_theory.function.special_functions.inner
-! leanprover-community/mathlib commit bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.InnerProductSpace.Basic
 import Mathlib.MeasureTheory.Constructions.BorelSpace.Complex
 
+#align_import measure_theory.function.special_functions.inner from "leanprover-community/mathlib"@"bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf"
+
 /-!
 # Measurability of scalar products
 -/

This PR adds aesop tags to a few lemmas pertaining to strong measurability, allowing to prove e.g. StronglyMeasurable Real.log using the measurability tactic.

It also implements measurability? via aesop?.

Co-authored-by: Frédéric Dupuis <31101893+dupuisf@users.noreply.github.com>

@@ -22,7 +22,7 @@ variable [IsROrC 𝕜] [NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
 
 local notation "⟪" x ", " y "⟫" => @inner 𝕜 _ _ x y
 
-@[measurability]
+@[aesop safe 20 apply (rule_sets [Measurable])]
 theorem Measurable.inner {_ : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [TopologicalSpace.SecondCountableTopology E] {f g : α → E} (hf : Measurable f)
     (hg : Measurable g) : Measurable fun t => ⟪f t, g t⟫ :=
@@ -30,6 +30,18 @@ theorem Measurable.inner {_ : MeasurableSpace α} [MeasurableSpace E] [OpensMeas
 #align measurable.inner Measurable.inner
 
 @[measurability]
+theorem Measurable.const_inner {_ : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
+    [TopologicalSpace.SecondCountableTopology E] {c : E} {f : α → E} (hf : Measurable f) :
+    Measurable fun t => ⟪c, f t⟫ :=
+  Measurable.inner measurable_const hf
+
+@[measurability]
+theorem Measurable.inner_const {_ : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
+    [TopologicalSpace.SecondCountableTopology E] {c : E} {f : α → E} (hf : Measurable f) :
+    Measurable fun t => ⟪f t, c⟫ :=
+  Measurable.inner hf measurable_const
+
+@[aesop safe 20 apply (rule_sets [Measurable])]
 theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMeasurableSpace E]
     [TopologicalSpace.SecondCountableTopology E] {μ : MeasureTheory.Measure α} {f g : α → E}
     (hf : AEMeasurable f μ) (hg : AEMeasurable g μ) : AEMeasurable (fun x => ⟪f x, g x⟫) μ := by
@@ -38,3 +50,19 @@ theorem AEMeasurable.inner {m : MeasurableSpace α} [MeasurableSpace E] [OpensMe
   dsimp only
   congr
 #align ae_measurable.inner AEMeasurable.inner
+
+set_option linter.unusedVariables false in
+@[measurability]
+theorem AEMeasurable.const_inner {m : MeasurableSpace α} [MeasurableSpace E]
+    [OpensMeasurableSpace E] [TopologicalSpace.SecondCountableTopology E]
+    {μ : MeasureTheory.Measure α} {f : α → E} {c : E} (hf : AEMeasurable f μ) :
+    AEMeasurable (fun x => ⟪c, f x⟫) μ :=
+  AEMeasurable.inner aemeasurable_const hf
+
+set_option linter.unusedVariables false in
+@[measurability]
+theorem AEMeasurable.inner_const {m : MeasurableSpace α} [MeasurableSpace E]
+    [OpensMeasurableSpace E] [TopologicalSpace.SecondCountableTopology E]
+    {μ : MeasureTheory.Measure α} {f : α → E} {c : E} (hf : AEMeasurable f μ) :
+    AEMeasurable (fun x => ⟪f x, c⟫) μ :=
+  AEMeasurable.inner hf aemeasurable_const