measure_theory.group.integration | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

ec247d43

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

fd4551cf

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2022 Floris van Doorn. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Floris van Doorn
 -/
-import Mathbin.MeasureTheory.Integral.Bochner
-import Mathbin.MeasureTheory.Group.Measure
-import Mathbin.MeasureTheory.Group.Action
+import MeasureTheory.Integral.Bochner
+import MeasureTheory.Group.Measure
+import MeasureTheory.Group.Action
 
 #align_import measure_theory.group.integration from "leanprover-community/mathlib"@"fd4551cfe4b7484b81c2c9ba3405edae27659676"

fd4551cf

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Floris van Doorn. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Floris van Doorn
-
-! This file was ported from Lean 3 source module measure_theory.group.integration
-! leanprover-community/mathlib commit fd4551cfe4b7484b81c2c9ba3405edae27659676
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.MeasureTheory.Integral.Bochner
 import Mathbin.MeasureTheory.Group.Measure
 import Mathbin.MeasureTheory.Group.Action
 
+#align_import measure_theory.group.integration from "leanprover-community/mathlib"@"fd4551cfe4b7484b81c2c9ba3405edae27659676"
+
 /-!
 # Integration on Groups

fd4551cf

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -39,13 +39,16 @@ section MeasurableInv
 
 variable [Group G] [MeasurableInv G]
 
+#print MeasureTheory.Integrable.comp_inv /-
 @[to_additive]
 theorem Integrable.comp_inv [IsInvInvariant μ] {f : G → F} (hf : Integrable f μ) :
     Integrable (fun t => f t⁻¹) μ :=
   (hf.mono_measure (map_inv_eq_self μ).le).comp_measurable measurable_inv
 #align measure_theory.integrable.comp_inv MeasureTheory.Integrable.comp_inv
 #align measure_theory.integrable.comp_neg MeasureTheory.Integrable.comp_neg
+-/
 
+#print MeasureTheory.integral_inv_eq_self /-
 @[to_additive]
 theorem integral_inv_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant μ] :
     ∫ x, f x⁻¹ ∂μ = ∫ x, f x ∂μ :=
@@ -54,6 +57,7 @@ theorem integral_inv_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant μ]
   rw [← h.integral_map, map_inv_eq_self]
 #align measure_theory.integral_inv_eq_self MeasureTheory.integral_inv_eq_self
 #align measure_theory.integral_neg_eq_self MeasureTheory.integral_neg_eq_self
+-/
 
 end MeasurableInv
 
@@ -61,6 +65,7 @@ section MeasurableMul
 
 variable [Group G] [MeasurableMul G]
 
+#print MeasureTheory.lintegral_mul_left_eq_self /-
 /-- Translating a function by left-multiplication does not change its `measure_theory.lintegral`
 with respect to a left-invariant measure. -/
 @[to_additive
@@ -72,7 +77,9 @@ theorem lintegral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → ℝ≥0∞
   simp [map_mul_left_eq_self μ g]
 #align measure_theory.lintegral_mul_left_eq_self MeasureTheory.lintegral_mul_left_eq_self
 #align measure_theory.lintegral_add_left_eq_self MeasureTheory.lintegral_add_left_eq_self
+-/
 
+#print MeasureTheory.lintegral_mul_right_eq_self /-
 /-- Translating a function by right-multiplication does not change its `measure_theory.lintegral`
 with respect to a right-invariant measure. -/
 @[to_additive
@@ -84,14 +91,18 @@ theorem lintegral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0
   simp [map_mul_right_eq_self μ g]
 #align measure_theory.lintegral_mul_right_eq_self MeasureTheory.lintegral_mul_right_eq_self
 #align measure_theory.lintegral_add_right_eq_self MeasureTheory.lintegral_add_right_eq_self
+-/
 
+#print MeasureTheory.lintegral_div_right_eq_self /-
 @[simp, to_additive]
 theorem lintegral_div_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
     ∫⁻ x, f (x / g) ∂μ = ∫⁻ x, f x ∂μ := by
   simp_rw [div_eq_mul_inv, lintegral_mul_right_eq_self f g⁻¹]
 #align measure_theory.lintegral_div_right_eq_self MeasureTheory.lintegral_div_right_eq_self
 #align measure_theory.lintegral_sub_right_eq_self MeasureTheory.lintegral_sub_right_eq_self
+-/
 
+#print MeasureTheory.integral_mul_left_eq_self /-
 /-- Translating a function by left-multiplication does not change its integral with respect to a
 left-invariant measure. -/
 @[simp,
@@ -104,7 +115,9 @@ theorem integral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → E) (g : G)
   rw [← h_mul.integral_map, map_mul_left_eq_self]
 #align measure_theory.integral_mul_left_eq_self MeasureTheory.integral_mul_left_eq_self
 #align measure_theory.integral_add_left_eq_self MeasureTheory.integral_add_left_eq_self
+-/
 
+#print MeasureTheory.integral_mul_right_eq_self /-
 /-- Translating a function by right-multiplication does not change its integral with respect to a
 right-invariant measure. -/
 @[simp,
@@ -118,13 +131,17 @@ theorem integral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G
   rw [← h_mul.integral_map, map_mul_right_eq_self]
 #align measure_theory.integral_mul_right_eq_self MeasureTheory.integral_mul_right_eq_self
 #align measure_theory.integral_add_right_eq_self MeasureTheory.integral_add_right_eq_self
+-/
 
+#print MeasureTheory.integral_div_right_eq_self /-
 @[simp, to_additive]
 theorem integral_div_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G) :
     ∫ x, f (x / g) ∂μ = ∫ x, f x ∂μ := by simp_rw [div_eq_mul_inv, integral_mul_right_eq_self f g⁻¹]
 #align measure_theory.integral_div_right_eq_self MeasureTheory.integral_div_right_eq_self
 #align measure_theory.integral_sub_right_eq_self MeasureTheory.integral_sub_right_eq_self
+-/
 
+#print MeasureTheory.integral_eq_zero_of_mul_left_eq_neg /-
 /-- If some left-translate of a function negates it, then the integral of the function with respect
 to a left-invariant measure is 0. -/
 @[to_additive
@@ -134,7 +151,9 @@ theorem integral_eq_zero_of_mul_left_eq_neg [IsMulLeftInvariant μ] (hf' : ∀ x
   simp_rw [← self_eq_neg ℝ E, ← integral_neg, ← hf', integral_mul_left_eq_self]
 #align measure_theory.integral_eq_zero_of_mul_left_eq_neg MeasureTheory.integral_eq_zero_of_mul_left_eq_neg
 #align measure_theory.integral_eq_zero_of_add_left_eq_neg MeasureTheory.integral_eq_zero_of_add_left_eq_neg
+-/
 
+#print MeasureTheory.integral_eq_zero_of_mul_right_eq_neg /-
 /-- If some right-translate of a function negates it, then the integral of the function with respect
 to a right-invariant measure is 0. -/
 @[to_additive
@@ -144,37 +163,47 @@ theorem integral_eq_zero_of_mul_right_eq_neg [IsMulRightInvariant μ] (hf' : ∀
   simp_rw [← self_eq_neg ℝ E, ← integral_neg, ← hf', integral_mul_right_eq_self]
 #align measure_theory.integral_eq_zero_of_mul_right_eq_neg MeasureTheory.integral_eq_zero_of_mul_right_eq_neg
 #align measure_theory.integral_eq_zero_of_add_right_eq_neg MeasureTheory.integral_eq_zero_of_add_right_eq_neg
+-/
 
+#print MeasureTheory.Integrable.comp_mul_left /-
 @[to_additive]
 theorem Integrable.comp_mul_left {f : G → F} [IsMulLeftInvariant μ] (hf : Integrable f μ) (g : G) :
     Integrable (fun t => f (g * t)) μ :=
   (hf.mono_measure (map_mul_left_eq_self μ g).le).comp_measurable <| measurable_const_mul g
 #align measure_theory.integrable.comp_mul_left MeasureTheory.Integrable.comp_mul_left
 #align measure_theory.integrable.comp_add_left MeasureTheory.Integrable.comp_add_left
+-/
 
+#print MeasureTheory.Integrable.comp_mul_right /-
 @[to_additive]
 theorem Integrable.comp_mul_right {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ)
     (g : G) : Integrable (fun t => f (t * g)) μ :=
   (hf.mono_measure (map_mul_right_eq_self μ g).le).comp_measurable <| measurable_mul_const g
 #align measure_theory.integrable.comp_mul_right MeasureTheory.Integrable.comp_mul_right
 #align measure_theory.integrable.comp_add_right MeasureTheory.Integrable.comp_add_right
+-/
 
+#print MeasureTheory.Integrable.comp_div_right /-
 @[to_additive]
 theorem Integrable.comp_div_right {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ)
     (g : G) : Integrable (fun t => f (t / g)) μ := by simp_rw [div_eq_mul_inv];
   exact hf.comp_mul_right g⁻¹
 #align measure_theory.integrable.comp_div_right MeasureTheory.Integrable.comp_div_right
 #align measure_theory.integrable.comp_sub_right MeasureTheory.Integrable.comp_sub_right
+-/
 
 variable [MeasurableInv G]
 
+#print MeasureTheory.Integrable.comp_div_left /-
 @[to_additive]
 theorem Integrable.comp_div_left {f : G → F} [IsInvInvariant μ] [IsMulLeftInvariant μ]
     (hf : Integrable f μ) (g : G) : Integrable (fun t => f (g / t)) μ :=
   ((measurePreserving_div_left μ g).integrable_comp hf.AEStronglyMeasurable).mpr hf
 #align measure_theory.integrable.comp_div_left MeasureTheory.Integrable.comp_div_left
 #align measure_theory.integrable.comp_sub_left MeasureTheory.Integrable.comp_sub_left
+-/
 
+#print MeasureTheory.integrable_comp_div_left /-
 @[simp, to_additive]
 theorem integrable_comp_div_left (f : G → F) [IsInvInvariant μ] [IsMulLeftInvariant μ] (g : G) :
     Integrable (fun t => f (g / t)) μ ↔ Integrable f μ :=
@@ -184,7 +213,9 @@ theorem integrable_comp_div_left (f : G → F) [IsInvInvariant μ] [IsMulLeftInv
   simp_rw [div_inv_eq_mul, mul_inv_cancel_left]
 #align measure_theory.integrable_comp_div_left MeasureTheory.integrable_comp_div_left
 #align measure_theory.integrable_comp_sub_left MeasureTheory.integrable_comp_sub_left
+-/
 
+#print MeasureTheory.integral_div_left_eq_self /-
 @[simp, to_additive]
 theorem integral_div_left_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant μ]
     [IsMulLeftInvariant μ] (x' : G) : ∫ x, f (x' / x) ∂μ = ∫ x, f x ∂μ := by
@@ -192,6 +223,7 @@ theorem integral_div_left_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant
     integral_mul_left_eq_self f x']
 #align measure_theory.integral_div_left_eq_self MeasureTheory.integral_div_left_eq_self
 #align measure_theory.integral_sub_left_eq_self MeasureTheory.integral_sub_left_eq_self
+-/
 
 end MeasurableMul
 
@@ -199,6 +231,7 @@ section Smul
 
 variable [Group G] [MeasurableSpace α] [MulAction G α] [MeasurableSMul G α]
 
+#print MeasureTheory.integral_smul_eq_self /-
 @[simp, to_additive]
 theorem integral_smul_eq_self {μ : Measure α} [SMulInvariantMeasure G α μ] (f : α → E) {g : G} :
     ∫ x, f (g • x) ∂μ = ∫ x, f x ∂μ :=
@@ -207,6 +240,7 @@ theorem integral_smul_eq_self {μ : Measure α} [SMulInvariantMeasure G α μ] (
   rw [← h.integral_map, map_smul]
 #align measure_theory.integral_smul_eq_self MeasureTheory.integral_smul_eq_self
 #align measure_theory.integral_vadd_eq_self MeasureTheory.integral_vadd_eq_self
+-/
 
 end Smul
 
@@ -214,6 +248,7 @@ section TopologicalGroup
 
 variable [TopologicalSpace G] [Group G] [TopologicalGroup G] [BorelSpace G] [IsMulLeftInvariant μ]
 
+#print MeasureTheory.lintegral_eq_zero_of_isMulLeftInvariant /-
 /-- For nonzero regular left invariant measures, the integral of a continuous nonnegative function
   `f` is 0 iff `f` is 0. -/
 @[to_additive
@@ -225,6 +260,7 @@ theorem lintegral_eq_zero_of_isMulLeftInvariant [Regular μ] (hμ : μ ≠ 0) {f
   rw [lintegral_eq_zero_iff hf.measurable, hf.ae_eq_iff_eq μ continuous_zero]
 #align measure_theory.lintegral_eq_zero_of_is_mul_left_invariant MeasureTheory.lintegral_eq_zero_of_isMulLeftInvariant
 #align measure_theory.lintegral_eq_zero_of_is_add_left_invariant MeasureTheory.lintegral_eq_zero_of_isAddLeftInvariant
+-/
 
 end TopologicalGroup

fd4551cf

bump to nightly-2023-06-11-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c471da714c044131b90c133701e51b877c246677

6960a941

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Floris van Doorn
 
 ! This file was ported from Lean 3 source module measure_theory.group.integration
-! leanprover-community/mathlib commit ec247d43814751ffceb33b758e8820df2372bf6f
+! leanprover-community/mathlib commit fd4551cfe4b7484b81c2c9ba3405edae27659676
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.MeasureTheory.Group.Action
 /-!
 # Integration on Groups
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We develop properties of integrals with a group as domain.
 This file contains properties about integrability, Lebesgue integration and Bochner integration.
 -/

ec247d43

bump to nightly-2023-06-10-07

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

3fdc57bc

Diff

@@ -45,7 +45,7 @@ theorem Integrable.comp_inv [IsInvInvariant μ] {f : G → F} (hf : Integrable f
 
 @[to_additive]
 theorem integral_inv_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant μ] :
-    (∫ x, f x⁻¹ ∂μ) = ∫ x, f x ∂μ :=
+    ∫ x, f x⁻¹ ∂μ = ∫ x, f x ∂μ :=
   by
   have h : MeasurableEmbedding fun x : G => x⁻¹ := (MeasurableEquiv.inv G).MeasurableEmbedding
   rw [← h.integral_map, map_inv_eq_self]
@@ -63,7 +63,7 @@ with respect to a left-invariant measure. -/
 @[to_additive
       "Translating a function by left-addition does not change its\n`measure_theory.lintegral` with respect to a left-invariant measure."]
 theorem lintegral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → ℝ≥0∞) (g : G) :
-    (∫⁻ x, f (g * x) ∂μ) = ∫⁻ x, f x ∂μ :=
+    ∫⁻ x, f (g * x) ∂μ = ∫⁻ x, f x ∂μ :=
   by
   convert (lintegral_map_equiv f <| MeasurableEquiv.mulLeft g).symm
   simp [map_mul_left_eq_self μ g]
@@ -75,7 +75,7 @@ with respect to a right-invariant measure. -/
 @[to_additive
       "Translating a function by right-addition does not change its\n`measure_theory.lintegral` with respect to a right-invariant measure."]
 theorem lintegral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
-    (∫⁻ x, f (x * g) ∂μ) = ∫⁻ x, f x ∂μ :=
+    ∫⁻ x, f (x * g) ∂μ = ∫⁻ x, f x ∂μ :=
   by
   convert (lintegral_map_equiv f <| MeasurableEquiv.mulRight g).symm
   simp [map_mul_right_eq_self μ g]
@@ -84,7 +84,7 @@ theorem lintegral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0
 
 @[simp, to_additive]
 theorem lintegral_div_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
-    (∫⁻ x, f (x / g) ∂μ) = ∫⁻ x, f x ∂μ := by
+    ∫⁻ x, f (x / g) ∂μ = ∫⁻ x, f x ∂μ := by
   simp_rw [div_eq_mul_inv, lintegral_mul_right_eq_self f g⁻¹]
 #align measure_theory.lintegral_div_right_eq_self MeasureTheory.lintegral_div_right_eq_self
 #align measure_theory.lintegral_sub_right_eq_self MeasureTheory.lintegral_sub_right_eq_self
@@ -95,7 +95,7 @@ left-invariant measure. -/
   to_additive
       "Translating a function by left-addition does not change its integral with\n  respect to a left-invariant measure."]
 theorem integral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → E) (g : G) :
-    (∫ x, f (g * x) ∂μ) = ∫ x, f x ∂μ :=
+    ∫ x, f (g * x) ∂μ = ∫ x, f x ∂μ :=
   by
   have h_mul : MeasurableEmbedding fun x => g * x := (MeasurableEquiv.mulLeft g).MeasurableEmbedding
   rw [← h_mul.integral_map, map_mul_left_eq_self]
@@ -108,7 +108,7 @@ right-invariant measure. -/
   to_additive
       "Translating a function by right-addition does not change its integral with\n  respect to a right-invariant measure."]
 theorem integral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G) :
-    (∫ x, f (x * g) ∂μ) = ∫ x, f x ∂μ :=
+    ∫ x, f (x * g) ∂μ = ∫ x, f x ∂μ :=
   by
   have h_mul : MeasurableEmbedding fun x => x * g :=
     (MeasurableEquiv.mulRight g).MeasurableEmbedding
@@ -118,8 +118,7 @@ theorem integral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G
 
 @[simp, to_additive]
 theorem integral_div_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G) :
-    (∫ x, f (x / g) ∂μ) = ∫ x, f x ∂μ := by
-  simp_rw [div_eq_mul_inv, integral_mul_right_eq_self f g⁻¹]
+    ∫ x, f (x / g) ∂μ = ∫ x, f x ∂μ := by simp_rw [div_eq_mul_inv, integral_mul_right_eq_self f g⁻¹]
 #align measure_theory.integral_div_right_eq_self MeasureTheory.integral_div_right_eq_self
 #align measure_theory.integral_sub_right_eq_self MeasureTheory.integral_sub_right_eq_self
 
@@ -128,7 +127,7 @@ to a left-invariant measure is 0. -/
 @[to_additive
       "If some left-translate of a function negates it, then the integral of the function\nwith respect to a left-invariant measure is 0."]
 theorem integral_eq_zero_of_mul_left_eq_neg [IsMulLeftInvariant μ] (hf' : ∀ x, f (g * x) = -f x) :
-    (∫ x, f x ∂μ) = 0 := by
+    ∫ x, f x ∂μ = 0 := by
   simp_rw [← self_eq_neg ℝ E, ← integral_neg, ← hf', integral_mul_left_eq_self]
 #align measure_theory.integral_eq_zero_of_mul_left_eq_neg MeasureTheory.integral_eq_zero_of_mul_left_eq_neg
 #align measure_theory.integral_eq_zero_of_add_left_eq_neg MeasureTheory.integral_eq_zero_of_add_left_eq_neg
@@ -138,7 +137,7 @@ to a right-invariant measure is 0. -/
 @[to_additive
       "If some right-translate of a function negates it, then the integral of the function\nwith respect to a right-invariant measure is 0."]
 theorem integral_eq_zero_of_mul_right_eq_neg [IsMulRightInvariant μ] (hf' : ∀ x, f (x * g) = -f x) :
-    (∫ x, f x ∂μ) = 0 := by
+    ∫ x, f x ∂μ = 0 := by
   simp_rw [← self_eq_neg ℝ E, ← integral_neg, ← hf', integral_mul_right_eq_self]
 #align measure_theory.integral_eq_zero_of_mul_right_eq_neg MeasureTheory.integral_eq_zero_of_mul_right_eq_neg
 #align measure_theory.integral_eq_zero_of_add_right_eq_neg MeasureTheory.integral_eq_zero_of_add_right_eq_neg
@@ -185,7 +184,7 @@ theorem integrable_comp_div_left (f : G → F) [IsInvInvariant μ] [IsMulLeftInv
 
 @[simp, to_additive]
 theorem integral_div_left_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant μ]
-    [IsMulLeftInvariant μ] (x' : G) : (∫ x, f (x' / x) ∂μ) = ∫ x, f x ∂μ := by
+    [IsMulLeftInvariant μ] (x' : G) : ∫ x, f (x' / x) ∂μ = ∫ x, f x ∂μ := by
   simp_rw [div_eq_mul_inv, integral_inv_eq_self (fun x => f (x' * x)) μ,
     integral_mul_left_eq_self f x']
 #align measure_theory.integral_div_left_eq_self MeasureTheory.integral_div_left_eq_self
@@ -199,7 +198,7 @@ variable [Group G] [MeasurableSpace α] [MulAction G α] [MeasurableSMul G α]
 
 @[simp, to_additive]
 theorem integral_smul_eq_self {μ : Measure α} [SMulInvariantMeasure G α μ] (f : α → E) {g : G} :
-    (∫ x, f (g • x) ∂μ) = ∫ x, f x ∂μ :=
+    ∫ x, f (g • x) ∂μ = ∫ x, f x ∂μ :=
   by
   have h : MeasurableEmbedding fun x : α => g • x := (MeasurableEquiv.smul g).MeasurableEmbedding
   rw [← h.integral_map, map_smul]
@@ -217,7 +216,7 @@ variable [TopologicalSpace G] [Group G] [TopologicalGroup G] [BorelSpace G] [IsM
 @[to_additive
       "For nonzero regular left invariant measures, the integral of a continuous nonnegative\nfunction `f` is 0 iff `f` is 0."]
 theorem lintegral_eq_zero_of_isMulLeftInvariant [Regular μ] (hμ : μ ≠ 0) {f : G → ℝ≥0∞}
-    (hf : Continuous f) : (∫⁻ x, f x ∂μ) = 0 ↔ f = 0 :=
+    (hf : Continuous f) : ∫⁻ x, f x ∂μ = 0 ↔ f = 0 :=
   by
   haveI := is_open_pos_measure_of_mul_left_invariant_of_regular hμ
   rw [lintegral_eq_zero_iff hf.measurable, hf.ae_eq_iff_eq μ continuous_zero]

ec247d43

bump to nightly-2023-06-09-23

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

a380922b

Diff

@@ -222,7 +222,7 @@ theorem lintegral_eq_zero_of_isMulLeftInvariant [Regular μ] (hμ : μ ≠ 0) {f
   haveI := is_open_pos_measure_of_mul_left_invariant_of_regular hμ
   rw [lintegral_eq_zero_iff hf.measurable, hf.ae_eq_iff_eq μ continuous_zero]
 #align measure_theory.lintegral_eq_zero_of_is_mul_left_invariant MeasureTheory.lintegral_eq_zero_of_isMulLeftInvariant
-#align measure_theory.lintegral_eq_zero_of_is_add_left_invariant MeasureTheory.lintegral_eq_zero_of_is_add_left_invariant
+#align measure_theory.lintegral_eq_zero_of_is_add_left_invariant MeasureTheory.lintegral_eq_zero_of_isAddLeftInvariant
 
 end TopologicalGroup

ec247d43

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -37,14 +37,14 @@ section MeasurableInv
 variable [Group G] [MeasurableInv G]
 
 @[to_additive]
-theorem Integrable.comp_inv [InvInvariant μ] {f : G → F} (hf : Integrable f μ) :
+theorem Integrable.comp_inv [IsInvInvariant μ] {f : G → F} (hf : Integrable f μ) :
     Integrable (fun t => f t⁻¹) μ :=
   (hf.mono_measure (map_inv_eq_self μ).le).comp_measurable measurable_inv
 #align measure_theory.integrable.comp_inv MeasureTheory.Integrable.comp_inv
 #align measure_theory.integrable.comp_neg MeasureTheory.Integrable.comp_neg
 
 @[to_additive]
-theorem integral_inv_eq_self (f : G → E) (μ : Measure G) [InvInvariant μ] :
+theorem integral_inv_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant μ] :
     (∫ x, f x⁻¹ ∂μ) = ∫ x, f x ∂μ :=
   by
   have h : MeasurableEmbedding fun x : G => x⁻¹ := (MeasurableEquiv.inv G).MeasurableEmbedding
@@ -62,10 +62,10 @@ variable [Group G] [MeasurableMul G]
 with respect to a left-invariant measure. -/
 @[to_additive
       "Translating a function by left-addition does not change its\n`measure_theory.lintegral` with respect to a left-invariant measure."]
-theorem lintegral_mul_left_eq_self [MulLeftInvariant μ] (f : G → ℝ≥0∞) (g : G) :
+theorem lintegral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → ℝ≥0∞) (g : G) :
     (∫⁻ x, f (g * x) ∂μ) = ∫⁻ x, f x ∂μ :=
   by
-  convert(lintegral_map_equiv f <| MeasurableEquiv.mulLeft g).symm
+  convert (lintegral_map_equiv f <| MeasurableEquiv.mulLeft g).symm
   simp [map_mul_left_eq_self μ g]
 #align measure_theory.lintegral_mul_left_eq_self MeasureTheory.lintegral_mul_left_eq_self
 #align measure_theory.lintegral_add_left_eq_self MeasureTheory.lintegral_add_left_eq_self
@@ -74,16 +74,16 @@ theorem lintegral_mul_left_eq_self [MulLeftInvariant μ] (f : G → ℝ≥0∞)
 with respect to a right-invariant measure. -/
 @[to_additive
       "Translating a function by right-addition does not change its\n`measure_theory.lintegral` with respect to a right-invariant measure."]
-theorem lintegral_mul_right_eq_self [MulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
+theorem lintegral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
     (∫⁻ x, f (x * g) ∂μ) = ∫⁻ x, f x ∂μ :=
   by
-  convert(lintegral_map_equiv f <| MeasurableEquiv.mulRight g).symm
+  convert (lintegral_map_equiv f <| MeasurableEquiv.mulRight g).symm
   simp [map_mul_right_eq_self μ g]
 #align measure_theory.lintegral_mul_right_eq_self MeasureTheory.lintegral_mul_right_eq_self
 #align measure_theory.lintegral_add_right_eq_self MeasureTheory.lintegral_add_right_eq_self
 
 @[simp, to_additive]
-theorem lintegral_div_right_eq_self [MulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
+theorem lintegral_div_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
     (∫⁻ x, f (x / g) ∂μ) = ∫⁻ x, f x ∂μ := by
   simp_rw [div_eq_mul_inv, lintegral_mul_right_eq_self f g⁻¹]
 #align measure_theory.lintegral_div_right_eq_self MeasureTheory.lintegral_div_right_eq_self
@@ -94,7 +94,7 @@ left-invariant measure. -/
 @[simp,
   to_additive
       "Translating a function by left-addition does not change its integral with\n  respect to a left-invariant measure."]
-theorem integral_mul_left_eq_self [MulLeftInvariant μ] (f : G → E) (g : G) :
+theorem integral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → E) (g : G) :
     (∫ x, f (g * x) ∂μ) = ∫ x, f x ∂μ :=
   by
   have h_mul : MeasurableEmbedding fun x => g * x := (MeasurableEquiv.mulLeft g).MeasurableEmbedding
@@ -107,7 +107,7 @@ right-invariant measure. -/
 @[simp,
   to_additive
       "Translating a function by right-addition does not change its integral with\n  respect to a right-invariant measure."]
-theorem integral_mul_right_eq_self [MulRightInvariant μ] (f : G → E) (g : G) :
+theorem integral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G) :
     (∫ x, f (x * g) ∂μ) = ∫ x, f x ∂μ :=
   by
   have h_mul : MeasurableEmbedding fun x => x * g :=
@@ -117,7 +117,7 @@ theorem integral_mul_right_eq_self [MulRightInvariant μ] (f : G → E) (g : G)
 #align measure_theory.integral_add_right_eq_self MeasureTheory.integral_add_right_eq_self
 
 @[simp, to_additive]
-theorem integral_div_right_eq_self [MulRightInvariant μ] (f : G → E) (g : G) :
+theorem integral_div_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G) :
     (∫ x, f (x / g) ∂μ) = ∫ x, f x ∂μ := by
   simp_rw [div_eq_mul_inv, integral_mul_right_eq_self f g⁻¹]
 #align measure_theory.integral_div_right_eq_self MeasureTheory.integral_div_right_eq_self
@@ -127,7 +127,7 @@ theorem integral_div_right_eq_self [MulRightInvariant μ] (f : G → E) (g : G)
 to a left-invariant measure is 0. -/
 @[to_additive
       "If some left-translate of a function negates it, then the integral of the function\nwith respect to a left-invariant measure is 0."]
-theorem integral_eq_zero_of_mul_left_eq_neg [MulLeftInvariant μ] (hf' : ∀ x, f (g * x) = -f x) :
+theorem integral_eq_zero_of_mul_left_eq_neg [IsMulLeftInvariant μ] (hf' : ∀ x, f (g * x) = -f x) :
     (∫ x, f x ∂μ) = 0 := by
   simp_rw [← self_eq_neg ℝ E, ← integral_neg, ← hf', integral_mul_left_eq_self]
 #align measure_theory.integral_eq_zero_of_mul_left_eq_neg MeasureTheory.integral_eq_zero_of_mul_left_eq_neg
@@ -137,43 +137,44 @@ theorem integral_eq_zero_of_mul_left_eq_neg [MulLeftInvariant μ] (hf' : ∀ x,
 to a right-invariant measure is 0. -/
 @[to_additive
       "If some right-translate of a function negates it, then the integral of the function\nwith respect to a right-invariant measure is 0."]
-theorem integral_eq_zero_of_mul_right_eq_neg [MulRightInvariant μ] (hf' : ∀ x, f (x * g) = -f x) :
+theorem integral_eq_zero_of_mul_right_eq_neg [IsMulRightInvariant μ] (hf' : ∀ x, f (x * g) = -f x) :
     (∫ x, f x ∂μ) = 0 := by
   simp_rw [← self_eq_neg ℝ E, ← integral_neg, ← hf', integral_mul_right_eq_self]
 #align measure_theory.integral_eq_zero_of_mul_right_eq_neg MeasureTheory.integral_eq_zero_of_mul_right_eq_neg
 #align measure_theory.integral_eq_zero_of_add_right_eq_neg MeasureTheory.integral_eq_zero_of_add_right_eq_neg
 
 @[to_additive]
-theorem Integrable.comp_mul_left {f : G → F} [MulLeftInvariant μ] (hf : Integrable f μ) (g : G) :
+theorem Integrable.comp_mul_left {f : G → F} [IsMulLeftInvariant μ] (hf : Integrable f μ) (g : G) :
     Integrable (fun t => f (g * t)) μ :=
   (hf.mono_measure (map_mul_left_eq_self μ g).le).comp_measurable <| measurable_const_mul g
 #align measure_theory.integrable.comp_mul_left MeasureTheory.Integrable.comp_mul_left
 #align measure_theory.integrable.comp_add_left MeasureTheory.Integrable.comp_add_left
 
 @[to_additive]
-theorem Integrable.comp_mul_right {f : G → F} [MulRightInvariant μ] (hf : Integrable f μ) (g : G) :
-    Integrable (fun t => f (t * g)) μ :=
+theorem Integrable.comp_mul_right {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ)
+    (g : G) : Integrable (fun t => f (t * g)) μ :=
   (hf.mono_measure (map_mul_right_eq_self μ g).le).comp_measurable <| measurable_mul_const g
 #align measure_theory.integrable.comp_mul_right MeasureTheory.Integrable.comp_mul_right
 #align measure_theory.integrable.comp_add_right MeasureTheory.Integrable.comp_add_right
 
 @[to_additive]
-theorem Integrable.comp_div_right {f : G → F} [MulRightInvariant μ] (hf : Integrable f μ) (g : G) :
-    Integrable (fun t => f (t / g)) μ := by simp_rw [div_eq_mul_inv]; exact hf.comp_mul_right g⁻¹
+theorem Integrable.comp_div_right {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ)
+    (g : G) : Integrable (fun t => f (t / g)) μ := by simp_rw [div_eq_mul_inv];
+  exact hf.comp_mul_right g⁻¹
 #align measure_theory.integrable.comp_div_right MeasureTheory.Integrable.comp_div_right
 #align measure_theory.integrable.comp_sub_right MeasureTheory.Integrable.comp_sub_right
 
 variable [MeasurableInv G]
 
 @[to_additive]
-theorem Integrable.comp_div_left {f : G → F} [InvInvariant μ] [MulLeftInvariant μ]
+theorem Integrable.comp_div_left {f : G → F} [IsInvInvariant μ] [IsMulLeftInvariant μ]
     (hf : Integrable f μ) (g : G) : Integrable (fun t => f (g / t)) μ :=
   ((measurePreserving_div_left μ g).integrable_comp hf.AEStronglyMeasurable).mpr hf
 #align measure_theory.integrable.comp_div_left MeasureTheory.Integrable.comp_div_left
 #align measure_theory.integrable.comp_sub_left MeasureTheory.Integrable.comp_sub_left
 
 @[simp, to_additive]
-theorem integrable_comp_div_left (f : G → F) [InvInvariant μ] [MulLeftInvariant μ] (g : G) :
+theorem integrable_comp_div_left (f : G → F) [IsInvInvariant μ] [IsMulLeftInvariant μ] (g : G) :
     Integrable (fun t => f (g / t)) μ ↔ Integrable f μ :=
   by
   refine' ⟨fun h => _, fun h => h.comp_div_left g⟩
@@ -183,8 +184,8 @@ theorem integrable_comp_div_left (f : G → F) [InvInvariant μ] [MulLeftInvaria
 #align measure_theory.integrable_comp_sub_left MeasureTheory.integrable_comp_sub_left
 
 @[simp, to_additive]
-theorem integral_div_left_eq_self (f : G → E) (μ : Measure G) [InvInvariant μ] [MulLeftInvariant μ]
-    (x' : G) : (∫ x, f (x' / x) ∂μ) = ∫ x, f x ∂μ := by
+theorem integral_div_left_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant μ]
+    [IsMulLeftInvariant μ] (x' : G) : (∫ x, f (x' / x) ∂μ) = ∫ x, f x ∂μ := by
   simp_rw [div_eq_mul_inv, integral_inv_eq_self (fun x => f (x' * x)) μ,
     integral_mul_left_eq_self f x']
 #align measure_theory.integral_div_left_eq_self MeasureTheory.integral_div_left_eq_self
@@ -209,18 +210,18 @@ end Smul
 
 section TopologicalGroup
 
-variable [TopologicalSpace G] [Group G] [TopologicalGroup G] [BorelSpace G] [MulLeftInvariant μ]
+variable [TopologicalSpace G] [Group G] [TopologicalGroup G] [BorelSpace G] [IsMulLeftInvariant μ]
 
 /-- For nonzero regular left invariant measures, the integral of a continuous nonnegative function
   `f` is 0 iff `f` is 0. -/
 @[to_additive
       "For nonzero regular left invariant measures, the integral of a continuous nonnegative\nfunction `f` is 0 iff `f` is 0."]
-theorem lintegral_eq_zero_of_mulLeftInvariant [Regular μ] (hμ : μ ≠ 0) {f : G → ℝ≥0∞}
+theorem lintegral_eq_zero_of_isMulLeftInvariant [Regular μ] (hμ : μ ≠ 0) {f : G → ℝ≥0∞}
     (hf : Continuous f) : (∫⁻ x, f x ∂μ) = 0 ↔ f = 0 :=
   by
   haveI := is_open_pos_measure_of_mul_left_invariant_of_regular hμ
   rw [lintegral_eq_zero_iff hf.measurable, hf.ae_eq_iff_eq μ continuous_zero]
-#align measure_theory.lintegral_eq_zero_of_is_mul_left_invariant MeasureTheory.lintegral_eq_zero_of_mulLeftInvariant
+#align measure_theory.lintegral_eq_zero_of_is_mul_left_invariant MeasureTheory.lintegral_eq_zero_of_isMulLeftInvariant
 #align measure_theory.lintegral_eq_zero_of_is_add_left_invariant MeasureTheory.lintegral_eq_zero_of_is_add_left_invariant
 
 end TopologicalGroup

ec247d43

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -37,14 +37,14 @@ section MeasurableInv
 variable [Group G] [MeasurableInv G]
 
 @[to_additive]
-theorem Integrable.comp_inv [IsInvInvariant μ] {f : G → F} (hf : Integrable f μ) :
+theorem Integrable.comp_inv [InvInvariant μ] {f : G → F} (hf : Integrable f μ) :
     Integrable (fun t => f t⁻¹) μ :=
   (hf.mono_measure (map_inv_eq_self μ).le).comp_measurable measurable_inv
 #align measure_theory.integrable.comp_inv MeasureTheory.Integrable.comp_inv
 #align measure_theory.integrable.comp_neg MeasureTheory.Integrable.comp_neg
 
 @[to_additive]
-theorem integral_inv_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant μ] :
+theorem integral_inv_eq_self (f : G → E) (μ : Measure G) [InvInvariant μ] :
     (∫ x, f x⁻¹ ∂μ) = ∫ x, f x ∂μ :=
   by
   have h : MeasurableEmbedding fun x : G => x⁻¹ := (MeasurableEquiv.inv G).MeasurableEmbedding
@@ -62,7 +62,7 @@ variable [Group G] [MeasurableMul G]
 with respect to a left-invariant measure. -/
 @[to_additive
       "Translating a function by left-addition does not change its\n`measure_theory.lintegral` with respect to a left-invariant measure."]
-theorem lintegral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → ℝ≥0∞) (g : G) :
+theorem lintegral_mul_left_eq_self [MulLeftInvariant μ] (f : G → ℝ≥0∞) (g : G) :
     (∫⁻ x, f (g * x) ∂μ) = ∫⁻ x, f x ∂μ :=
   by
   convert(lintegral_map_equiv f <| MeasurableEquiv.mulLeft g).symm
@@ -74,7 +74,7 @@ theorem lintegral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → ℝ≥0∞
 with respect to a right-invariant measure. -/
 @[to_additive
       "Translating a function by right-addition does not change its\n`measure_theory.lintegral` with respect to a right-invariant measure."]
-theorem lintegral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
+theorem lintegral_mul_right_eq_self [MulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
     (∫⁻ x, f (x * g) ∂μ) = ∫⁻ x, f x ∂μ :=
   by
   convert(lintegral_map_equiv f <| MeasurableEquiv.mulRight g).symm
@@ -83,7 +83,7 @@ theorem lintegral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0
 #align measure_theory.lintegral_add_right_eq_self MeasureTheory.lintegral_add_right_eq_self
 
 @[simp, to_additive]
-theorem lintegral_div_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
+theorem lintegral_div_right_eq_self [MulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
     (∫⁻ x, f (x / g) ∂μ) = ∫⁻ x, f x ∂μ := by
   simp_rw [div_eq_mul_inv, lintegral_mul_right_eq_self f g⁻¹]
 #align measure_theory.lintegral_div_right_eq_self MeasureTheory.lintegral_div_right_eq_self
@@ -94,7 +94,7 @@ left-invariant measure. -/
 @[simp,
   to_additive
       "Translating a function by left-addition does not change its integral with\n  respect to a left-invariant measure."]
-theorem integral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → E) (g : G) :
+theorem integral_mul_left_eq_self [MulLeftInvariant μ] (f : G → E) (g : G) :
     (∫ x, f (g * x) ∂μ) = ∫ x, f x ∂μ :=
   by
   have h_mul : MeasurableEmbedding fun x => g * x := (MeasurableEquiv.mulLeft g).MeasurableEmbedding
@@ -107,7 +107,7 @@ right-invariant measure. -/
 @[simp,
   to_additive
       "Translating a function by right-addition does not change its integral with\n  respect to a right-invariant measure."]
-theorem integral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G) :
+theorem integral_mul_right_eq_self [MulRightInvariant μ] (f : G → E) (g : G) :
     (∫ x, f (x * g) ∂μ) = ∫ x, f x ∂μ :=
   by
   have h_mul : MeasurableEmbedding fun x => x * g :=
@@ -117,7 +117,7 @@ theorem integral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G
 #align measure_theory.integral_add_right_eq_self MeasureTheory.integral_add_right_eq_self
 
 @[simp, to_additive]
-theorem integral_div_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G) :
+theorem integral_div_right_eq_self [MulRightInvariant μ] (f : G → E) (g : G) :
     (∫ x, f (x / g) ∂μ) = ∫ x, f x ∂μ := by
   simp_rw [div_eq_mul_inv, integral_mul_right_eq_self f g⁻¹]
 #align measure_theory.integral_div_right_eq_self MeasureTheory.integral_div_right_eq_self
@@ -127,7 +127,7 @@ theorem integral_div_right_eq_self [IsMulRightInvariant μ] (f : G → E) (g : G
 to a left-invariant measure is 0. -/
 @[to_additive
       "If some left-translate of a function negates it, then the integral of the function\nwith respect to a left-invariant measure is 0."]
-theorem integral_eq_zero_of_mul_left_eq_neg [IsMulLeftInvariant μ] (hf' : ∀ x, f (g * x) = -f x) :
+theorem integral_eq_zero_of_mul_left_eq_neg [MulLeftInvariant μ] (hf' : ∀ x, f (g * x) = -f x) :
     (∫ x, f x ∂μ) = 0 := by
   simp_rw [← self_eq_neg ℝ E, ← integral_neg, ← hf', integral_mul_left_eq_self]
 #align measure_theory.integral_eq_zero_of_mul_left_eq_neg MeasureTheory.integral_eq_zero_of_mul_left_eq_neg
@@ -137,44 +137,43 @@ theorem integral_eq_zero_of_mul_left_eq_neg [IsMulLeftInvariant μ] (hf' : ∀ x
 to a right-invariant measure is 0. -/
 @[to_additive
       "If some right-translate of a function negates it, then the integral of the function\nwith respect to a right-invariant measure is 0."]
-theorem integral_eq_zero_of_mul_right_eq_neg [IsMulRightInvariant μ] (hf' : ∀ x, f (x * g) = -f x) :
+theorem integral_eq_zero_of_mul_right_eq_neg [MulRightInvariant μ] (hf' : ∀ x, f (x * g) = -f x) :
     (∫ x, f x ∂μ) = 0 := by
   simp_rw [← self_eq_neg ℝ E, ← integral_neg, ← hf', integral_mul_right_eq_self]
 #align measure_theory.integral_eq_zero_of_mul_right_eq_neg MeasureTheory.integral_eq_zero_of_mul_right_eq_neg
 #align measure_theory.integral_eq_zero_of_add_right_eq_neg MeasureTheory.integral_eq_zero_of_add_right_eq_neg
 
 @[to_additive]
-theorem Integrable.comp_mul_left {f : G → F} [IsMulLeftInvariant μ] (hf : Integrable f μ) (g : G) :
+theorem Integrable.comp_mul_left {f : G → F} [MulLeftInvariant μ] (hf : Integrable f μ) (g : G) :
     Integrable (fun t => f (g * t)) μ :=
   (hf.mono_measure (map_mul_left_eq_self μ g).le).comp_measurable <| measurable_const_mul g
 #align measure_theory.integrable.comp_mul_left MeasureTheory.Integrable.comp_mul_left
 #align measure_theory.integrable.comp_add_left MeasureTheory.Integrable.comp_add_left
 
 @[to_additive]
-theorem Integrable.comp_mul_right {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ)
-    (g : G) : Integrable (fun t => f (t * g)) μ :=
+theorem Integrable.comp_mul_right {f : G → F} [MulRightInvariant μ] (hf : Integrable f μ) (g : G) :
+    Integrable (fun t => f (t * g)) μ :=
   (hf.mono_measure (map_mul_right_eq_self μ g).le).comp_measurable <| measurable_mul_const g
 #align measure_theory.integrable.comp_mul_right MeasureTheory.Integrable.comp_mul_right
 #align measure_theory.integrable.comp_add_right MeasureTheory.Integrable.comp_add_right
 
 @[to_additive]
-theorem Integrable.comp_div_right {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ)
-    (g : G) : Integrable (fun t => f (t / g)) μ := by simp_rw [div_eq_mul_inv];
-  exact hf.comp_mul_right g⁻¹
+theorem Integrable.comp_div_right {f : G → F} [MulRightInvariant μ] (hf : Integrable f μ) (g : G) :
+    Integrable (fun t => f (t / g)) μ := by simp_rw [div_eq_mul_inv]; exact hf.comp_mul_right g⁻¹
 #align measure_theory.integrable.comp_div_right MeasureTheory.Integrable.comp_div_right
 #align measure_theory.integrable.comp_sub_right MeasureTheory.Integrable.comp_sub_right
 
 variable [MeasurableInv G]
 
 @[to_additive]
-theorem Integrable.comp_div_left {f : G → F} [IsInvInvariant μ] [IsMulLeftInvariant μ]
+theorem Integrable.comp_div_left {f : G → F} [InvInvariant μ] [MulLeftInvariant μ]
     (hf : Integrable f μ) (g : G) : Integrable (fun t => f (g / t)) μ :=
   ((measurePreserving_div_left μ g).integrable_comp hf.AEStronglyMeasurable).mpr hf
 #align measure_theory.integrable.comp_div_left MeasureTheory.Integrable.comp_div_left
 #align measure_theory.integrable.comp_sub_left MeasureTheory.Integrable.comp_sub_left
 
 @[simp, to_additive]
-theorem integrable_comp_div_left (f : G → F) [IsInvInvariant μ] [IsMulLeftInvariant μ] (g : G) :
+theorem integrable_comp_div_left (f : G → F) [InvInvariant μ] [MulLeftInvariant μ] (g : G) :
     Integrable (fun t => f (g / t)) μ ↔ Integrable f μ :=
   by
   refine' ⟨fun h => _, fun h => h.comp_div_left g⟩
@@ -184,8 +183,8 @@ theorem integrable_comp_div_left (f : G → F) [IsInvInvariant μ] [IsMulLeftInv
 #align measure_theory.integrable_comp_sub_left MeasureTheory.integrable_comp_sub_left
 
 @[simp, to_additive]
-theorem integral_div_left_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant μ]
-    [IsMulLeftInvariant μ] (x' : G) : (∫ x, f (x' / x) ∂μ) = ∫ x, f x ∂μ := by
+theorem integral_div_left_eq_self (f : G → E) (μ : Measure G) [InvInvariant μ] [MulLeftInvariant μ]
+    (x' : G) : (∫ x, f (x' / x) ∂μ) = ∫ x, f x ∂μ := by
   simp_rw [div_eq_mul_inv, integral_inv_eq_self (fun x => f (x' * x)) μ,
     integral_mul_left_eq_self f x']
 #align measure_theory.integral_div_left_eq_self MeasureTheory.integral_div_left_eq_self
@@ -198,7 +197,7 @@ section Smul
 variable [Group G] [MeasurableSpace α] [MulAction G α] [MeasurableSMul G α]
 
 @[simp, to_additive]
-theorem integral_smul_eq_self {μ : Measure α} [SmulInvariantMeasure G α μ] (f : α → E) {g : G} :
+theorem integral_smul_eq_self {μ : Measure α} [SMulInvariantMeasure G α μ] (f : α → E) {g : G} :
     (∫ x, f (g • x) ∂μ) = ∫ x, f x ∂μ :=
   by
   have h : MeasurableEmbedding fun x : α => g • x := (MeasurableEquiv.smul g).MeasurableEmbedding
@@ -210,18 +209,18 @@ end Smul
 
 section TopologicalGroup
 
-variable [TopologicalSpace G] [Group G] [TopologicalGroup G] [BorelSpace G] [IsMulLeftInvariant μ]
+variable [TopologicalSpace G] [Group G] [TopologicalGroup G] [BorelSpace G] [MulLeftInvariant μ]
 
 /-- For nonzero regular left invariant measures, the integral of a continuous nonnegative function
   `f` is 0 iff `f` is 0. -/
 @[to_additive
       "For nonzero regular left invariant measures, the integral of a continuous nonnegative\nfunction `f` is 0 iff `f` is 0."]
-theorem lintegral_eq_zero_of_isMulLeftInvariant [Regular μ] (hμ : μ ≠ 0) {f : G → ℝ≥0∞}
+theorem lintegral_eq_zero_of_mulLeftInvariant [Regular μ] (hμ : μ ≠ 0) {f : G → ℝ≥0∞}
     (hf : Continuous f) : (∫⁻ x, f x ∂μ) = 0 ↔ f = 0 :=
   by
   haveI := is_open_pos_measure_of_mul_left_invariant_of_regular hμ
   rw [lintegral_eq_zero_iff hf.measurable, hf.ae_eq_iff_eq μ continuous_zero]
-#align measure_theory.lintegral_eq_zero_of_is_mul_left_invariant MeasureTheory.lintegral_eq_zero_of_isMulLeftInvariant
+#align measure_theory.lintegral_eq_zero_of_is_mul_left_invariant MeasureTheory.lintegral_eq_zero_of_mulLeftInvariant
 #align measure_theory.lintegral_eq_zero_of_is_add_left_invariant MeasureTheory.lintegral_eq_zero_of_is_add_left_invariant
 
 end TopologicalGroup

ec247d43

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -24,7 +24,7 @@ namespace MeasureTheory
 
 open Measure TopologicalSpace
 
-open ENNReal
+open scoped ENNReal
 
 variable {𝕜 M α G E F : Type _} [MeasurableSpace G]

ec247d43

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -159,9 +159,7 @@ theorem Integrable.comp_mul_right {f : G → F} [IsMulRightInvariant μ] (hf : I
 
 @[to_additive]
 theorem Integrable.comp_div_right {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ)
-    (g : G) : Integrable (fun t => f (t / g)) μ :=
-  by
-  simp_rw [div_eq_mul_inv]
+    (g : G) : Integrable (fun t => f (t / g)) μ := by simp_rw [div_eq_mul_inv];
   exact hf.comp_mul_right g⁻¹
 #align measure_theory.integrable.comp_div_right MeasureTheory.Integrable.comp_div_right
 #align measure_theory.integrable.comp_sub_right MeasureTheory.Integrable.comp_sub_right

ec247d43

bump to nightly-2023-05-23-20

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

4d066d3b

Diff

@@ -171,7 +171,7 @@ variable [MeasurableInv G]
 @[to_additive]
 theorem Integrable.comp_div_left {f : G → F} [IsInvInvariant μ] [IsMulLeftInvariant μ]
     (hf : Integrable f μ) (g : G) : Integrable (fun t => f (g / t)) μ :=
-  ((measurePreserving_div_left μ g).integrable_comp hf.AeStronglyMeasurable).mpr hf
+  ((measurePreserving_div_left μ g).integrable_comp hf.AEStronglyMeasurable).mpr hf
 #align measure_theory.integrable.comp_div_left MeasureTheory.Integrable.comp_div_left
 #align measure_theory.integrable.comp_sub_left MeasureTheory.Integrable.comp_sub_left

ec247d43

bump to nightly-2023-05-10-10

mathlib commit https://github.com/leanprover-community/mathlib/commit/cc5dd6244981976cc9da7afc4eee5682b037a013

d51144ae

Diff

@@ -34,7 +34,7 @@ variable {μ : Measure G} {f : G → E} {g : G}
 
 section MeasurableInv
 
-variable [Group G] [HasMeasurableInv G]
+variable [Group G] [MeasurableInv G]
 
 @[to_additive]
 theorem Integrable.comp_inv [IsInvInvariant μ] {f : G → F} (hf : Integrable f μ) :
@@ -56,7 +56,7 @@ end MeasurableInv
 
 section MeasurableMul
 
-variable [Group G] [HasMeasurableMul G]
+variable [Group G] [MeasurableMul G]
 
 /-- Translating a function by left-multiplication does not change its `measure_theory.lintegral`
 with respect to a left-invariant measure. -/
@@ -166,7 +166,7 @@ theorem Integrable.comp_div_right {f : G → F} [IsMulRightInvariant μ] (hf : I
 #align measure_theory.integrable.comp_div_right MeasureTheory.Integrable.comp_div_right
 #align measure_theory.integrable.comp_sub_right MeasureTheory.Integrable.comp_sub_right
 
-variable [HasMeasurableInv G]
+variable [MeasurableInv G]
 
 @[to_additive]
 theorem Integrable.comp_div_left {f : G → F} [IsInvInvariant μ] [IsMulLeftInvariant μ]
@@ -197,7 +197,7 @@ end MeasurableMul
 
 section Smul
 
-variable [Group G] [MeasurableSpace α] [MulAction G α] [HasMeasurableSmul G α]
+variable [Group G] [MeasurableSpace α] [MulAction G α] [MeasurableSMul G α]
 
 @[simp, to_additive]
 theorem integral_smul_eq_self {μ : Measure α} [SmulInvariantMeasure G α μ] (f : α → E) {g : G} :

ec247d43

bump to nightly-2023-05-04-10

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

3d8894bd

Diff

@@ -37,10 +37,10 @@ section MeasurableInv
 variable [Group G] [HasMeasurableInv G]
 
 @[to_additive]
-theorem Integrable.compInv [IsInvInvariant μ] {f : G → F} (hf : Integrable f μ) :
+theorem Integrable.comp_inv [IsInvInvariant μ] {f : G → F} (hf : Integrable f μ) :
     Integrable (fun t => f t⁻¹) μ :=
-  (hf.monoMeasure (map_inv_eq_self μ).le).compMeasurable measurable_inv
-#align measure_theory.integrable.comp_inv MeasureTheory.Integrable.compInv
+  (hf.mono_measure (map_inv_eq_self μ).le).comp_measurable measurable_inv
+#align measure_theory.integrable.comp_inv MeasureTheory.Integrable.comp_inv
 #align measure_theory.integrable.comp_neg MeasureTheory.Integrable.comp_neg
 
 @[to_additive]
@@ -144,42 +144,42 @@ theorem integral_eq_zero_of_mul_right_eq_neg [IsMulRightInvariant μ] (hf' : ∀
 #align measure_theory.integral_eq_zero_of_add_right_eq_neg MeasureTheory.integral_eq_zero_of_add_right_eq_neg
 
 @[to_additive]
-theorem Integrable.compMulLeft {f : G → F} [IsMulLeftInvariant μ] (hf : Integrable f μ) (g : G) :
+theorem Integrable.comp_mul_left {f : G → F} [IsMulLeftInvariant μ] (hf : Integrable f μ) (g : G) :
     Integrable (fun t => f (g * t)) μ :=
-  (hf.monoMeasure (map_mul_left_eq_self μ g).le).compMeasurable <| measurable_const_mul g
-#align measure_theory.integrable.comp_mul_left MeasureTheory.Integrable.compMulLeft
+  (hf.mono_measure (map_mul_left_eq_self μ g).le).comp_measurable <| measurable_const_mul g
+#align measure_theory.integrable.comp_mul_left MeasureTheory.Integrable.comp_mul_left
 #align measure_theory.integrable.comp_add_left MeasureTheory.Integrable.comp_add_left
 
 @[to_additive]
-theorem Integrable.compMulRight {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ) (g : G) :
-    Integrable (fun t => f (t * g)) μ :=
-  (hf.monoMeasure (map_mul_right_eq_self μ g).le).compMeasurable <| measurable_mul_const g
-#align measure_theory.integrable.comp_mul_right MeasureTheory.Integrable.compMulRight
+theorem Integrable.comp_mul_right {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ)
+    (g : G) : Integrable (fun t => f (t * g)) μ :=
+  (hf.mono_measure (map_mul_right_eq_self μ g).le).comp_measurable <| measurable_mul_const g
+#align measure_theory.integrable.comp_mul_right MeasureTheory.Integrable.comp_mul_right
 #align measure_theory.integrable.comp_add_right MeasureTheory.Integrable.comp_add_right
 
 @[to_additive]
-theorem Integrable.compDivRight {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ) (g : G) :
-    Integrable (fun t => f (t / g)) μ :=
+theorem Integrable.comp_div_right {f : G → F} [IsMulRightInvariant μ] (hf : Integrable f μ)
+    (g : G) : Integrable (fun t => f (t / g)) μ :=
   by
   simp_rw [div_eq_mul_inv]
   exact hf.comp_mul_right g⁻¹
-#align measure_theory.integrable.comp_div_right MeasureTheory.Integrable.compDivRight
+#align measure_theory.integrable.comp_div_right MeasureTheory.Integrable.comp_div_right
 #align measure_theory.integrable.comp_sub_right MeasureTheory.Integrable.comp_sub_right
 
 variable [HasMeasurableInv G]
 
 @[to_additive]
-theorem Integrable.compDivLeft {f : G → F} [IsInvInvariant μ] [IsMulLeftInvariant μ]
+theorem Integrable.comp_div_left {f : G → F} [IsInvInvariant μ] [IsMulLeftInvariant μ]
     (hf : Integrable f μ) (g : G) : Integrable (fun t => f (g / t)) μ :=
-  ((measurePreservingDivLeft μ g).integrable_comp hf.AeStronglyMeasurable).mpr hf
-#align measure_theory.integrable.comp_div_left MeasureTheory.Integrable.compDivLeft
+  ((measurePreserving_div_left μ g).integrable_comp hf.AeStronglyMeasurable).mpr hf
+#align measure_theory.integrable.comp_div_left MeasureTheory.Integrable.comp_div_left
 #align measure_theory.integrable.comp_sub_left MeasureTheory.Integrable.comp_sub_left
 
 @[simp, to_additive]
 theorem integrable_comp_div_left (f : G → F) [IsInvInvariant μ] [IsMulLeftInvariant μ] (g : G) :
     Integrable (fun t => f (g / t)) μ ↔ Integrable f μ :=
   by
-  refine' ⟨fun h => _, fun h => h.compDivLeft g⟩
+  refine' ⟨fun h => _, fun h => h.comp_div_left g⟩
   convert h.comp_inv.comp_mul_left g⁻¹
   simp_rw [div_inv_eq_mul, mul_inv_cancel_left]
 #align measure_theory.integrable_comp_div_left MeasureTheory.integrable_comp_div_left

ec247d43

bump to nightly-2023-03-17-00

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

c85864d4

Diff

@@ -65,7 +65,7 @@ with respect to a left-invariant measure. -/
 theorem lintegral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → ℝ≥0∞) (g : G) :
     (∫⁻ x, f (g * x) ∂μ) = ∫⁻ x, f x ∂μ :=
   by
-  convert (lintegral_map_equiv f <| MeasurableEquiv.mulLeft g).symm
+  convert(lintegral_map_equiv f <| MeasurableEquiv.mulLeft g).symm
   simp [map_mul_left_eq_self μ g]
 #align measure_theory.lintegral_mul_left_eq_self MeasureTheory.lintegral_mul_left_eq_self
 #align measure_theory.lintegral_add_left_eq_self MeasureTheory.lintegral_add_left_eq_self
@@ -77,7 +77,7 @@ with respect to a right-invariant measure. -/
 theorem lintegral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
     (∫⁻ x, f (x * g) ∂μ) = ∫⁻ x, f x ∂μ :=
   by
-  convert (lintegral_map_equiv f <| MeasurableEquiv.mulRight g).symm
+  convert(lintegral_map_equiv f <| MeasurableEquiv.mulRight g).symm
   simp [map_mul_right_eq_self μ g]
 #align measure_theory.lintegral_mul_right_eq_self MeasureTheory.lintegral_mul_right_eq_self
 #align measure_theory.lintegral_add_right_eq_self MeasureTheory.lintegral_add_right_eq_self

ec247d43

bump to nightly-2023-02-27-10

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

49ff026a

Diff

@@ -24,7 +24,7 @@ namespace MeasureTheory
 
 open Measure TopologicalSpace
 
-open Ennreal
+open ENNReal
 
 variable {𝕜 M α G E F : Type _} [MeasurableSpace G]

ec247d43

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

ec247d43

chore(*): remove empty lines between variable statements (#11418)

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)

75c86f04

Diff

@@ -22,9 +22,7 @@ open Measure TopologicalSpace
 open scoped ENNReal
 
 variable {𝕜 M α G E F : Type*} [MeasurableSpace G]
-
 variable [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E] [NormedAddCommGroup F]
-
 variable {μ : Measure G} {f : G → E} {g : G}
 
 section MeasurableInv

ec247d43

refactor: split MeasureTheory.Group.Integration (#6715)

I want to use the lemma lintegral_add_right_eq_self in a file that doesn't import Bochner integration.

0c4163fd

Diff

@@ -9,13 +9,12 @@ import Mathlib.MeasureTheory.Group.Measure
 #align_import measure_theory.group.integration from "leanprover-community/mathlib"@"ec247d43814751ffceb33b758e8820df2372bf6f"
 
 /-!
-# Integration on Groups
+# Bochner Integration on Groups
 
 We develop properties of integrals with a group as domain.
-This file contains properties about integrability, Lebesgue integration and Bochner integration.
+This file contains properties about integrability and Bochner integration.
 -/
 
-
 namespace MeasureTheory
 
 open Measure TopologicalSpace
@@ -53,39 +52,6 @@ section MeasurableMul
 
 variable [Group G] [MeasurableMul G]
 
-/-- Translating a function by left-multiplication does not change its `MeasureTheory.lintegral`
-with respect to a left-invariant measure. -/
-@[to_additive
-      "Translating a function by left-addition does not change its `MeasureTheory.lintegral` with
-      respect to a left-invariant measure."]
-theorem lintegral_mul_left_eq_self [IsMulLeftInvariant μ] (f : G → ℝ≥0∞) (g : G) :
-    (∫⁻ x, f (g * x) ∂μ) = ∫⁻ x, f x ∂μ := by
-  convert (lintegral_map_equiv f <| MeasurableEquiv.mulLeft g).symm
-  simp [map_mul_left_eq_self μ g]
-#align measure_theory.lintegral_mul_left_eq_self MeasureTheory.lintegral_mul_left_eq_self
-#align measure_theory.lintegral_add_left_eq_self MeasureTheory.lintegral_add_left_eq_self
-
-/-- Translating a function by right-multiplication does not change its `MeasureTheory.lintegral`
-with respect to a right-invariant measure. -/
-@[to_additive
-      "Translating a function by right-addition does not change its `MeasureTheory.lintegral` with
-      respect to a right-invariant measure."]
-theorem lintegral_mul_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
-    (∫⁻ x, f (x * g) ∂μ) = ∫⁻ x, f x ∂μ := by
-  convert (lintegral_map_equiv f <| MeasurableEquiv.mulRight g).symm using 1
-  simp [map_mul_right_eq_self μ g]
-#align measure_theory.lintegral_mul_right_eq_self MeasureTheory.lintegral_mul_right_eq_self
-#align measure_theory.lintegral_add_right_eq_self MeasureTheory.lintegral_add_right_eq_self
-
-@[to_additive] -- Porting note: was `@[simp]`
-theorem lintegral_div_right_eq_self [IsMulRightInvariant μ] (f : G → ℝ≥0∞) (g : G) :
-    (∫⁻ x, f (x / g) ∂μ) = ∫⁻ x, f x ∂μ := by
-  simp_rw [div_eq_mul_inv]
-  -- Porting note: was `simp_rw`
-  rw [lintegral_mul_right_eq_self f g⁻¹]
-#align measure_theory.lintegral_div_right_eq_self MeasureTheory.lintegral_div_right_eq_self
-#align measure_theory.lintegral_sub_right_eq_self MeasureTheory.lintegral_sub_right_eq_self
-
 /-- Translating a function by left-multiplication does not change its integral with respect to a
 left-invariant measure. -/
 @[to_additive
@@ -206,23 +172,3 @@ theorem integral_smul_eq_self {μ : Measure α} [SMulInvariantMeasure G α μ] (
 #align measure_theory.integral_vadd_eq_self MeasureTheory.integral_vadd_eq_self
 
 end SMul
-
-section TopologicalGroup
-
-variable [TopologicalSpace G] [Group G] [TopologicalGroup G] [BorelSpace G] [IsMulLeftInvariant μ]
-
-/-- For nonzero regular left invariant measures, the integral of a continuous nonnegative function
-  `f` is 0 iff `f` is 0. -/
-@[to_additive
-      "For nonzero regular left invariant measures, the integral of a continuous nonnegative
-      function `f` is 0 iff `f` is 0."]
-theorem lintegral_eq_zero_of_isMulLeftInvariant [Regular μ] (hμ : μ ≠ 0) {f : G → ℝ≥0∞}
-    (hf : Continuous f) : ∫⁻ x, f x ∂μ = 0 ↔ f = 0 := by
-  haveI := isOpenPosMeasure_of_mulLeftInvariant_of_regular hμ
-  rw [lintegral_eq_zero_iff hf.measurable, hf.ae_eq_iff_eq μ continuous_zero]
-#align measure_theory.lintegral_eq_zero_of_is_mul_left_invariant MeasureTheory.lintegral_eq_zero_of_isMulLeftInvariant
-#align measure_theory.lintegral_eq_zero_of_is_add_left_invariant MeasureTheory.lintegral_eq_zero_of_isAddLeftInvariant
-
-end TopologicalGroup
-
-end MeasureTheory

ec247d43

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -22,7 +22,7 @@ open Measure TopologicalSpace
 
 open scoped ENNReal
 
-variable {𝕜 M α G E F : Type _} [MeasurableSpace G]
+variable {𝕜 M α G E F : Type*} [MeasurableSpace G]
 
 variable [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E] [NormedAddCommGroup F]

ec247d43

feat(MeasureTheory): define DomMulAct action on Lp (#6190)

31d6c54a

Diff

@@ -5,7 +5,6 @@ Authors: Floris van Doorn
 -/
 import Mathlib.MeasureTheory.Integral.Bochner
 import Mathlib.MeasureTheory.Group.Measure
-import Mathlib.MeasureTheory.Group.Action
 
 #align_import measure_theory.group.integration from "leanprover-community/mathlib"@"ec247d43814751ffceb33b758e8820df2372bf6f"

ec247d43

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Floris van Doorn. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Floris van Doorn
-
-! This file was ported from Lean 3 source module measure_theory.group.integration
-! leanprover-community/mathlib commit ec247d43814751ffceb33b758e8820df2372bf6f
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.MeasureTheory.Integral.Bochner
 import Mathlib.MeasureTheory.Group.Measure
 import Mathlib.MeasureTheory.Group.Action
 
+#align_import measure_theory.group.integration from "leanprover-community/mathlib"@"ec247d43814751ffceb33b758e8820df2372bf6f"
+
 /-!
 # Integration on Groups

ec247d43

chore: remove superfluous parentheses around integrals (#5591)

5d442693

Diff

@@ -45,7 +45,7 @@ theorem Integrable.comp_inv [IsInvInvariant μ] {f : G → F} (hf : Integrable f
 
 @[to_additive]
 theorem integral_inv_eq_self (f : G → E) (μ : Measure G) [IsInvInvariant μ] :
-    (∫ x, f x⁻¹ ∂μ) = ∫ x, f x ∂μ := by
+    ∫ x, f x⁻¹ ∂μ = ∫ x, f x ∂μ := by
   have h : MeasurableEmbedding fun x : G => x⁻¹ := (MeasurableEquiv.inv G).measurableEmbedding
   rw [← h.integral_map, map_inv_eq_self]
 #align measure_theory.integral_inv_eq_self MeasureTheory.integral_inv_eq_self
@@ -130,7 +130,7 @@ to a left-invariant measure is 0. -/
       "If some left-translate of a function negates it, then the integral of the function with
       respect to a left-invariant measure is 0."]
 theorem integral_eq_zero_of_mul_left_eq_neg [IsMulLeftInvariant μ] (hf' : ∀ x, f (g * x) = -f x) :
-    (∫ x, f x ∂μ) = 0 := by
+    ∫ x, f x ∂μ = 0 := by
   simp_rw [← self_eq_neg ℝ E, ← integral_neg, ← hf', integral_mul_left_eq_self]
 #align measure_theory.integral_eq_zero_of_mul_left_eq_neg MeasureTheory.integral_eq_zero_of_mul_left_eq_neg
 #align measure_theory.integral_eq_zero_of_add_left_eq_neg MeasureTheory.integral_eq_zero_of_add_left_eq_neg
@@ -141,7 +141,7 @@ to a right-invariant measure is 0. -/
       "If some right-translate of a function negates it, then the integral of the function with
       respect to a right-invariant measure is 0."]
 theorem integral_eq_zero_of_mul_right_eq_neg [IsMulRightInvariant μ] (hf' : ∀ x, f (x * g) = -f x) :
-    (∫ x, f x ∂μ) = 0 := by
+    ∫ x, f x ∂μ = 0 := by
   simp_rw [← self_eq_neg ℝ E, ← integral_neg, ← hf', integral_mul_right_eq_self]
 #align measure_theory.integral_eq_zero_of_mul_right_eq_neg MeasureTheory.integral_eq_zero_of_mul_right_eq_neg
 #align measure_theory.integral_eq_zero_of_add_right_eq_neg MeasureTheory.integral_eq_zero_of_add_right_eq_neg
@@ -221,7 +221,7 @@ variable [TopologicalSpace G] [Group G] [TopologicalGroup G] [BorelSpace G] [IsM
       "For nonzero regular left invariant measures, the integral of a continuous nonnegative
       function `f` is 0 iff `f` is 0."]
 theorem lintegral_eq_zero_of_isMulLeftInvariant [Regular μ] (hμ : μ ≠ 0) {f : G → ℝ≥0∞}
-    (hf : Continuous f) : (∫⁻ x, f x ∂μ) = 0 ↔ f = 0 := by
+    (hf : Continuous f) : ∫⁻ x, f x ∂μ = 0 ↔ f = 0 := by
   haveI := isOpenPosMeasure_of_mulLeftInvariant_of_regular hμ
   rw [lintegral_eq_zero_iff hf.measurable, hf.ae_eq_iff_eq μ continuous_zero]
 #align measure_theory.lintegral_eq_zero_of_is_mul_left_invariant MeasureTheory.lintegral_eq_zero_of_isMulLeftInvariant

ec247d43

feat: port MeasureTheory.Group.Integration (#4694)

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

89079942

`measure_theory.group.integration` ⟷ `Mathlib.MeasureTheory.Group.Integral`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 944

measure_theory.group.integration ⟷ Mathlib.MeasureTheory.Group.Integral

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 944

`measure_theory.group.integration` ⟷ `Mathlib.MeasureTheory.Group.Integral`