measure_theory.measure.complex | 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

17b3357b

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

f60c6087

bump to nightly-2024-01-27-06

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

5704388b

Diff

@@ -52,7 +52,7 @@ namespace ComplexMeasure
 /-- The real part of a complex measure is a signed measure. -/
 @[simps apply]
 def re : ComplexMeasure α →ₗ[ℝ] SignedMeasure α :=
-  mapRangeₗ Complex.reClm Complex.continuous_re
+  mapRangeₗ Complex.reCLM Complex.continuous_re
 #align measure_theory.complex_measure.re MeasureTheory.ComplexMeasure.re
 -/
 
@@ -60,7 +60,7 @@ def re : ComplexMeasure α →ₗ[ℝ] SignedMeasure α :=
 /-- The imaginary part of a complex measure is a signed measure. -/
 @[simps apply]
 def im : ComplexMeasure α →ₗ[ℝ] SignedMeasure α :=
-  mapRangeₗ Complex.imClm Complex.continuous_im
+  mapRangeₗ Complex.imCLM Complex.continuous_im
 #align measure_theory.complex_measure.im MeasureTheory.ComplexMeasure.im
 -/

f60c6087

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2021 Kexing Ying. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kexing Ying
 -/
-import Mathbin.MeasureTheory.Measure.VectorMeasure
+import MeasureTheory.Measure.VectorMeasure
 
 #align_import measure_theory.measure.complex from "leanprover-community/mathlib"@"f60c6087a7275b72d5db3c5a1d0e19e35a429c0a"

f60c6087

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2021 Kexing Ying. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kexing Ying
-
-! This file was ported from Lean 3 source module measure_theory.measure.complex
-! leanprover-community/mathlib commit f60c6087a7275b72d5db3c5a1d0e19e35a429c0a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.MeasureTheory.Measure.VectorMeasure
 
+#align_import measure_theory.measure.complex from "leanprover-community/mathlib"@"f60c6087a7275b72d5db3c5a1d0e19e35a429c0a"
+
 /-!
 # Complex measure

f60c6087

bump to nightly-2023-06-27-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/8b981918a93bc45a8600de608cde7944a80d92b9

b5e0c440

Diff

@@ -140,15 +140,15 @@ def equivSignedMeasureₗ : ComplexMeasure α ≃ₗ[R] SignedMeasure α × Sign
 
 end
 
-#print MeasureTheory.ComplexMeasure.absolutelyContinuous_eNNReal_iff /-
-theorem absolutelyContinuous_eNNReal_iff (c : ComplexMeasure α) (μ : VectorMeasure α ℝ≥0∞) :
+#print MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff /-
+theorem absolutelyContinuous_ennreal_iff (c : ComplexMeasure α) (μ : VectorMeasure α ℝ≥0∞) :
     c ≪ᵥ μ ↔ c.re ≪ᵥ μ ∧ c.im ≪ᵥ μ := by
   constructor <;> intro h
   · constructor <;> · intro i hi; simp [h hi]
   · intro i hi
     rw [← Complex.re_add_im (c i), (_ : (c i).re = 0), (_ : (c i).im = 0)]
     exacts [by simp, h.2 hi, h.1 hi]
-#align measure_theory.complex_measure.absolutely_continuous_ennreal_iff MeasureTheory.ComplexMeasure.absolutelyContinuous_eNNReal_iff
+#align measure_theory.complex_measure.absolutely_continuous_ennreal_iff MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff
 -/
 
 end ComplexMeasure

f60c6087

bump to nightly-2023-06-20-01

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

9b351f8c

Diff

@@ -88,19 +88,19 @@ theorem MeasureTheory.SignedMeasure.toComplexMeasure_apply {s t : SignedMeasure
 
 #print MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure /-
 theorem toComplexMeasure_to_signedMeasure (c : ComplexMeasure α) : c.re.toComplexMeasure c.im = c :=
-  by ext (i hi) <;> rfl
+  by ext i hi <;> rfl
 #align measure_theory.complex_measure.to_complex_measure_to_signed_measure MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure
 -/
 
 #print MeasureTheory.SignedMeasure.re_toComplexMeasure /-
 theorem MeasureTheory.SignedMeasure.re_toComplexMeasure (s t : SignedMeasure α) :
-    (s.toComplexMeasure t).re = s := by ext (i hi); rfl
+    (s.toComplexMeasure t).re = s := by ext i hi; rfl
 #align measure_theory.signed_measure.re_to_complex_measure MeasureTheory.SignedMeasure.re_toComplexMeasure
 -/
 
 #print MeasureTheory.SignedMeasure.im_toComplexMeasure /-
 theorem MeasureTheory.SignedMeasure.im_toComplexMeasure (s t : SignedMeasure α) :
-    (s.toComplexMeasure t).im = t := by ext (i hi); rfl
+    (s.toComplexMeasure t).im = t := by ext i hi; rfl
 #align measure_theory.signed_measure.im_to_complex_measure MeasureTheory.SignedMeasure.im_toComplexMeasure
 -/
 
@@ -127,12 +127,12 @@ variable [ContinuousConstSMul R ℝ] [ContinuousConstSMul R ℂ]
 @[simps]
 def equivSignedMeasureₗ : ComplexMeasure α ≃ₗ[R] SignedMeasure α × SignedMeasure α :=
   { equivSignedMeasure with
-    map_add' := fun c d => by ext (i hi) <;> rfl
+    map_add' := fun c d => by ext i hi <;> rfl
     map_smul' := by
-      intro r c; ext (i hi)
+      intro r c; ext i hi
       · change (r • c i).re = r • (c i).re
         simp [Complex.smul_re]
-      · ext (i hi)
+      · ext i hi
         change (r • c i).im = r • (c i).im
         simp [Complex.smul_im] }
 #align measure_theory.complex_measure.equiv_signed_measureₗ MeasureTheory.ComplexMeasure.equivSignedMeasureₗ

f60c6087

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -51,19 +51,21 @@ open VectorMeasure
 
 namespace ComplexMeasure
 
-include m
-
+#print MeasureTheory.ComplexMeasure.re /-
 /-- The real part of a complex measure is a signed measure. -/
 @[simps apply]
 def re : ComplexMeasure α →ₗ[ℝ] SignedMeasure α :=
   mapRangeₗ Complex.reClm Complex.continuous_re
 #align measure_theory.complex_measure.re MeasureTheory.ComplexMeasure.re
+-/
 
+#print MeasureTheory.ComplexMeasure.im /-
 /-- The imaginary part of a complex measure is a signed measure. -/
 @[simps apply]
 def im : ComplexMeasure α →ₗ[ℝ] SignedMeasure α :=
   mapRangeₗ Complex.imClm Complex.continuous_im
 #align measure_theory.complex_measure.im MeasureTheory.ComplexMeasure.im
+-/
 
 #print MeasureTheory.SignedMeasure.toComplexMeasure /-
 /-- Given `s` and `t` signed measures, `s + it` is a complex measure-/
@@ -84,17 +86,23 @@ theorem MeasureTheory.SignedMeasure.toComplexMeasure_apply {s t : SignedMeasure
 #align measure_theory.signed_measure.to_complex_measure_apply MeasureTheory.SignedMeasure.toComplexMeasure_apply
 -/
 
+#print MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure /-
 theorem toComplexMeasure_to_signedMeasure (c : ComplexMeasure α) : c.re.toComplexMeasure c.im = c :=
   by ext (i hi) <;> rfl
 #align measure_theory.complex_measure.to_complex_measure_to_signed_measure MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure
+-/
 
+#print MeasureTheory.SignedMeasure.re_toComplexMeasure /-
 theorem MeasureTheory.SignedMeasure.re_toComplexMeasure (s t : SignedMeasure α) :
     (s.toComplexMeasure t).re = s := by ext (i hi); rfl
 #align measure_theory.signed_measure.re_to_complex_measure MeasureTheory.SignedMeasure.re_toComplexMeasure
+-/
 
+#print MeasureTheory.SignedMeasure.im_toComplexMeasure /-
 theorem MeasureTheory.SignedMeasure.im_toComplexMeasure (s t : SignedMeasure α) :
     (s.toComplexMeasure t).im = t := by ext (i hi); rfl
 #align measure_theory.signed_measure.im_to_complex_measure MeasureTheory.SignedMeasure.im_toComplexMeasure
+-/
 
 #print MeasureTheory.ComplexMeasure.equivSignedMeasure /-
 /-- The complex measures form an equivalence to the type of pairs of signed measures. -/
@@ -114,6 +122,7 @@ variable {R : Type _} [Semiring R] [Module R ℝ]
 
 variable [ContinuousConstSMul R ℝ] [ContinuousConstSMul R ℂ]
 
+#print MeasureTheory.ComplexMeasure.equivSignedMeasureₗ /-
 /-- The complex measures form an linear isomorphism to the type of pairs of signed measures. -/
 @[simps]
 def equivSignedMeasureₗ : ComplexMeasure α ≃ₗ[R] SignedMeasure α × SignedMeasure α :=
@@ -127,9 +136,11 @@ def equivSignedMeasureₗ : ComplexMeasure α ≃ₗ[R] SignedMeasure α × Sign
         change (r • c i).im = r • (c i).im
         simp [Complex.smul_im] }
 #align measure_theory.complex_measure.equiv_signed_measureₗ MeasureTheory.ComplexMeasure.equivSignedMeasureₗ
+-/
 
 end
 
+#print MeasureTheory.ComplexMeasure.absolutelyContinuous_eNNReal_iff /-
 theorem absolutelyContinuous_eNNReal_iff (c : ComplexMeasure α) (μ : VectorMeasure α ℝ≥0∞) :
     c ≪ᵥ μ ↔ c.re ≪ᵥ μ ∧ c.im ≪ᵥ μ := by
   constructor <;> intro h
@@ -138,6 +149,7 @@ theorem absolutelyContinuous_eNNReal_iff (c : ComplexMeasure α) (μ : VectorMea
     rw [← Complex.re_add_im (c i), (_ : (c i).re = 0), (_ : (c i).im = 0)]
     exacts [by simp, h.2 hi, h.1 hi]
 #align measure_theory.complex_measure.absolutely_continuous_ennreal_iff MeasureTheory.ComplexMeasure.absolutelyContinuous_eNNReal_iff
+-/
 
 end ComplexMeasure

f60c6087

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -136,7 +136,7 @@ theorem absolutelyContinuous_eNNReal_iff (c : ComplexMeasure α) (μ : VectorMea
   · constructor <;> · intro i hi; simp [h hi]
   · intro i hi
     rw [← Complex.re_add_im (c i), (_ : (c i).re = 0), (_ : (c i).im = 0)]
-    exacts[by simp, h.2 hi, h.1 hi]
+    exacts [by simp, h.2 hi, h.1 hi]
 #align measure_theory.complex_measure.absolutely_continuous_ennreal_iff MeasureTheory.ComplexMeasure.absolutelyContinuous_eNNReal_iff
 
 end ComplexMeasure

f60c6087

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kexing Ying
 
 ! This file was ported from Lean 3 source module measure_theory.measure.complex
-! leanprover-community/mathlib commit 17b3357baa47f48697ca9c243e300eb8cdd16a15
+! leanprover-community/mathlib commit f60c6087a7275b72d5db3c5a1d0e19e35a429c0a
 ! 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.Measure.VectorMeasure
 /-!
 # Complex measure
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file proves some elementary results about complex measures. In particular, we prove that
 a complex measure is always in the form `s + it` where `s` and `t` are signed measures.
 
@@ -62,6 +65,7 @@ def im : ComplexMeasure α →ₗ[ℝ] SignedMeasure α :=
   mapRangeₗ Complex.imClm Complex.continuous_im
 #align measure_theory.complex_measure.im MeasureTheory.ComplexMeasure.im
 
+#print MeasureTheory.SignedMeasure.toComplexMeasure /-
 /-- Given `s` and `t` signed measures, `s + it` is a complex measure-/
 @[simps]
 def MeasureTheory.SignedMeasure.toComplexMeasure (s t : SignedMeasure α) : ComplexMeasure α
@@ -69,13 +73,16 @@ def MeasureTheory.SignedMeasure.toComplexMeasure (s t : SignedMeasure α) : Comp
   measureOf' i := ⟨s i, t i⟩
   empty' := by rw [s.empty, t.empty] <;> rfl
   not_measurable' i hi := by rw [s.not_measurable hi, t.not_measurable hi] <;> rfl
-  m_Union' f hf hfdisj := (Complex.hasSum_iff _ _).2 ⟨s.m_iUnion hf hfdisj, t.m_iUnion hf hfdisj⟩
+  m_iUnion' f hf hfdisj := (Complex.hasSum_iff _ _).2 ⟨s.m_iUnion hf hfdisj, t.m_iUnion hf hfdisj⟩
 #align measure_theory.signed_measure.to_complex_measure MeasureTheory.SignedMeasure.toComplexMeasure
+-/
 
+#print MeasureTheory.SignedMeasure.toComplexMeasure_apply /-
 theorem MeasureTheory.SignedMeasure.toComplexMeasure_apply {s t : SignedMeasure α} {i : Set α} :
     s.toComplexMeasure t i = ⟨s i, t i⟩ :=
   rfl
 #align measure_theory.signed_measure.to_complex_measure_apply MeasureTheory.SignedMeasure.toComplexMeasure_apply
+-/
 
 theorem toComplexMeasure_to_signedMeasure (c : ComplexMeasure α) : c.re.toComplexMeasure c.im = c :=
   by ext (i hi) <;> rfl
@@ -89,6 +96,7 @@ theorem MeasureTheory.SignedMeasure.im_toComplexMeasure (s t : SignedMeasure α)
     (s.toComplexMeasure t).im = t := by ext (i hi); rfl
 #align measure_theory.signed_measure.im_to_complex_measure MeasureTheory.SignedMeasure.im_toComplexMeasure
 
+#print MeasureTheory.ComplexMeasure.equivSignedMeasure /-
 /-- The complex measures form an equivalence to the type of pairs of signed measures. -/
 @[simps]
 def equivSignedMeasure : ComplexMeasure α ≃ SignedMeasure α × SignedMeasure α
@@ -98,6 +106,7 @@ def equivSignedMeasure : ComplexMeasure α ≃ SignedMeasure α × SignedMeasure
   left_inv c := c.toComplexMeasure_to_signedMeasure
   right_inv := fun ⟨s, t⟩ => Prod.mk.inj_iff.2 ⟨s.re_toComplexMeasure t, s.im_toComplexMeasure t⟩
 #align measure_theory.complex_measure.equiv_signed_measure MeasureTheory.ComplexMeasure.equivSignedMeasure
+-/
 
 section

17b3357b

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -38,7 +38,7 @@ Complex measure
 
 noncomputable section
 
-open Classical MeasureTheory ENNReal NNReal
+open scoped Classical MeasureTheory ENNReal NNReal
 
 variable {α β : Type _} {m : MeasurableSpace α}

17b3357b

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -82,15 +82,11 @@ theorem toComplexMeasure_to_signedMeasure (c : ComplexMeasure α) : c.re.toCompl
 #align measure_theory.complex_measure.to_complex_measure_to_signed_measure MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure
 
 theorem MeasureTheory.SignedMeasure.re_toComplexMeasure (s t : SignedMeasure α) :
-    (s.toComplexMeasure t).re = s := by
-  ext (i hi)
-  rfl
+    (s.toComplexMeasure t).re = s := by ext (i hi); rfl
 #align measure_theory.signed_measure.re_to_complex_measure MeasureTheory.SignedMeasure.re_toComplexMeasure
 
 theorem MeasureTheory.SignedMeasure.im_toComplexMeasure (s t : SignedMeasure α) :
-    (s.toComplexMeasure t).im = t := by
-  ext (i hi)
-  rfl
+    (s.toComplexMeasure t).im = t := by ext (i hi); rfl
 #align measure_theory.signed_measure.im_to_complex_measure MeasureTheory.SignedMeasure.im_toComplexMeasure
 
 /-- The complex measures form an equivalence to the type of pairs of signed measures. -/
@@ -128,10 +124,7 @@ end
 theorem absolutelyContinuous_eNNReal_iff (c : ComplexMeasure α) (μ : VectorMeasure α ℝ≥0∞) :
     c ≪ᵥ μ ↔ c.re ≪ᵥ μ ∧ c.im ≪ᵥ μ := by
   constructor <;> intro h
-  ·
-    constructor <;>
-      · intro i hi
-        simp [h hi]
+  · constructor <;> · intro i hi; simp [h hi]
   · intro i hi
     rw [← Complex.re_add_im (c i), (_ : (c i).re = 0), (_ : (c i).im = 0)]
     exacts[by simp, h.2 hi, h.1 hi]

17b3357b

bump to nightly-2023-05-14-08

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

d31da313

Diff

@@ -69,7 +69,7 @@ def MeasureTheory.SignedMeasure.toComplexMeasure (s t : SignedMeasure α) : Comp
   measureOf' i := ⟨s i, t i⟩
   empty' := by rw [s.empty, t.empty] <;> rfl
   not_measurable' i hi := by rw [s.not_measurable hi, t.not_measurable hi] <;> rfl
-  m_Union' f hf hfdisj := (Complex.hasSum_iff _ _).2 ⟨s.m_unionᵢ hf hfdisj, t.m_unionᵢ hf hfdisj⟩
+  m_Union' f hf hfdisj := (Complex.hasSum_iff _ _).2 ⟨s.m_iUnion hf hfdisj, t.m_iUnion hf hfdisj⟩
 #align measure_theory.signed_measure.to_complex_measure MeasureTheory.SignedMeasure.toComplexMeasure
 
 theorem MeasureTheory.SignedMeasure.toComplexMeasure_apply {s t : SignedMeasure α} {i : Set α} :

17b3357b

bump to nightly-2023-02-27-10

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

49ff026a

Diff

@@ -38,7 +38,7 @@ Complex measure
 
 noncomputable section
 
-open Classical MeasureTheory Ennreal NNReal
+open Classical MeasureTheory ENNReal NNReal
 
 variable {α β : Type _} {m : MeasurableSpace α}
 
@@ -125,7 +125,7 @@ def equivSignedMeasureₗ : ComplexMeasure α ≃ₗ[R] SignedMeasure α × Sign
 
 end
 
-theorem absolutelyContinuous_ennreal_iff (c : ComplexMeasure α) (μ : VectorMeasure α ℝ≥0∞) :
+theorem absolutelyContinuous_eNNReal_iff (c : ComplexMeasure α) (μ : VectorMeasure α ℝ≥0∞) :
     c ≪ᵥ μ ↔ c.re ≪ᵥ μ ∧ c.im ≪ᵥ μ := by
   constructor <;> intro h
   ·
@@ -135,7 +135,7 @@ theorem absolutelyContinuous_ennreal_iff (c : ComplexMeasure α) (μ : VectorMea
   · intro i hi
     rw [← Complex.re_add_im (c i), (_ : (c i).re = 0), (_ : (c i).im = 0)]
     exacts[by simp, h.2 hi, h.1 hi]
-#align measure_theory.complex_measure.absolutely_continuous_ennreal_iff MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff
+#align measure_theory.complex_measure.absolutely_continuous_ennreal_iff MeasureTheory.ComplexMeasure.absolutelyContinuous_eNNReal_iff
 
 end ComplexMeasure

17b3357b

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

17b3357b

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

@@ -96,7 +96,6 @@ def equivSignedMeasure : ComplexMeasure α ≃ SignedMeasure α × SignedMeasure
 section
 
 variable {R : Type*} [Semiring R] [Module R ℝ]
-
 variable [ContinuousConstSMul R ℝ] [ContinuousConstSMul R ℂ]
 
 /-- The complex measures form a linear isomorphism to the type of pairs of signed measures. -/

17b3357b

doc: fix typos in tags header (#11088)

Fix 1 typo, 5 lowercase, 4 header depths

ab90a4e3

Diff

@@ -28,7 +28,7 @@ in `Mathlib/MeasureTheory/Measure/VectorMeasure.lean` and is known as
 * `MeasureTheory.ComplexMeasure.equivSignedMeasure`: is the equivalence between the complex
   measures and the type of the product of the signed measures with itself.
 
-# Tags
+## Tags
 
 Complex measure
 -/

17b3357b

fix: Clm -> CLM, Cle -> CLE (#10018)

Rename

Complex.equivRealProdClm → Complex.equivRealProdCLM;
- TODO: should this one use CLE?
Complex.reClm → Complex.reCLM;
Complex.imClm → Complex.imCLM;
Complex.conjLie → Complex.conjLIE;
Complex.conjCle → Complex.conjCLE;
Complex.ofRealLi → Complex.ofRealLI;
Complex.ofRealClm → Complex.ofRealCLM;
fderivInnerClm → fderivInnerCLM;
LinearPMap.adjointDomainMkClm → LinearPMap.adjointDomainMkCLM;
LinearPMap.adjointDomainMkClmExtend → LinearPMap.adjointDomainMkCLMExtend;
IsROrC.reClm → IsROrC.reCLM;
IsROrC.imClm → IsROrC.imCLM;
IsROrC.conjLie → IsROrC.conjLIE;
IsROrC.conjCle → IsROrC.conjCLE;
IsROrC.ofRealLi → IsROrC.ofRealLI;
IsROrC.ofRealClm → IsROrC.ofRealCLM;
MeasureTheory.condexpL1Clm → MeasureTheory.condexpL1CLM;
algebraMapClm → algebraMapCLM;
WeakDual.CharacterSpace.toClm → WeakDual.CharacterSpace.toCLM;
BoundedContinuousFunction.evalClm → BoundedContinuousFunction.evalCLM;
ContinuousMap.evalClm → ContinuousMap.evalCLM;
TrivSqZeroExt.fstClm → TrivSqZeroExt.fstClm;
TrivSqZeroExt.sndClm → TrivSqZeroExt.sndCLM;
TrivSqZeroExt.inlClm → TrivSqZeroExt.inlCLM;
TrivSqZeroExt.inrClm → TrivSqZeroExt.inrCLM

and related theorems.

e3b68186

Diff

@@ -49,13 +49,13 @@ namespace ComplexMeasure
 /-- The real part of a complex measure is a signed measure. -/
 @[simps! apply]
 def re : ComplexMeasure α →ₗ[ℝ] SignedMeasure α :=
-  mapRangeₗ Complex.reClm Complex.continuous_re
+  mapRangeₗ Complex.reCLM Complex.continuous_re
 #align measure_theory.complex_measure.re MeasureTheory.ComplexMeasure.re
 
 /-- The imaginary part of a complex measure is a signed measure. -/
 @[simps! apply]
 def im : ComplexMeasure α →ₗ[ℝ] SignedMeasure α :=
-  mapRangeₗ Complex.imClm Complex.continuous_im
+  mapRangeₗ Complex.imCLM Complex.continuous_im
 #align measure_theory.complex_measure.im MeasureTheory.ComplexMeasure.im
 
 /-- Given `s` and `t` signed measures, `s + it` is a complex measure-/

17b3357b

chore: exactly 4 spaces in theorems (#7328)

Co-authored-by: Moritz Firsching <firsching@google.com>

d3263b23

Diff

@@ -69,7 +69,7 @@ def _root_.MeasureTheory.SignedMeasure.toComplexMeasure (s t : SignedMeasure α)
 #align measure_theory.signed_measure.to_complex_measure MeasureTheory.SignedMeasure.toComplexMeasure
 
 theorem _root_.MeasureTheory.SignedMeasure.toComplexMeasure_apply
-  {s t : SignedMeasure α} {i : Set α} : s.toComplexMeasure t i = ⟨s i, t i⟩ := rfl
+    {s t : SignedMeasure α} {i : Set α} : s.toComplexMeasure t i = ⟨s i, t i⟩ := rfl
 #align measure_theory.signed_measure.to_complex_measure_apply MeasureTheory.SignedMeasure.toComplexMeasure_apply
 
 theorem toComplexMeasure_to_signedMeasure (c : ComplexMeasure α) :

17b3357b

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

@@ -38,7 +38,7 @@ noncomputable section
 
 open scoped Classical MeasureTheory ENNReal NNReal
 
-variable {α β : Type _} {m : MeasurableSpace α}
+variable {α β : Type*} {m : MeasurableSpace α}
 
 namespace MeasureTheory
 
@@ -95,7 +95,7 @@ def equivSignedMeasure : ComplexMeasure α ≃ SignedMeasure α × SignedMeasure
 
 section
 
-variable {R : Type _} [Semiring R] [Module R ℝ]
+variable {R : Type*} [Semiring R] [Module R ℝ]
 
 variable [ContinuousConstSMul R ℝ] [ContinuousConstSMul R ℂ]

17b3357b

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

@@ -2,14 +2,11 @@
 Copyright (c) 2021 Kexing Ying. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kexing Ying
-
-! This file was ported from Lean 3 source module measure_theory.measure.complex
-! leanprover-community/mathlib commit 17b3357baa47f48697ca9c243e300eb8cdd16a15
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.MeasureTheory.Measure.VectorMeasure
 
+#align_import measure_theory.measure.complex from "leanprover-community/mathlib"@"17b3357baa47f48697ca9c243e300eb8cdd16a15"
+
 /-!
 # Complex measure

17b3357b

chore: remove occurrences of semicolon after space (#5713)

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

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

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

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

c795bd35

Diff

@@ -67,7 +67,7 @@ def _root_.MeasureTheory.SignedMeasure.toComplexMeasure (s t : SignedMeasure α)
     ComplexMeasure α where
   measureOf' i := ⟨s i, t i⟩
   empty' := by dsimp only; rw [s.empty, t.empty]; rfl
-  not_measurable' i hi := by dsimp only ; rw [s.not_measurable hi, t.not_measurable hi]; rfl
+  not_measurable' i hi := by dsimp only; rw [s.not_measurable hi, t.not_measurable hi]; rfl
   m_iUnion' f hf hfdisj := (Complex.hasSum_iff _ _).2 ⟨s.m_iUnion hf hfdisj, t.m_iUnion hf hfdisj⟩
 #align measure_theory.signed_measure.to_complex_measure MeasureTheory.SignedMeasure.toComplexMeasure

17b3357b

chore: tidy various files (#5482)

0e36dc3b

Diff

@@ -17,7 +17,8 @@ This file proves some elementary results about complex measures. In particular,
 a complex measure is always in the form `s + it` where `s` and `t` are signed measures.
 
 The complex measure is defined to be vector measure over `ℂ`, this definition can be found
-in `measure_theory.measure.vector_measure` and is known as `MeasureTheory.ComplexMeasure`.
+in `Mathlib/MeasureTheory/Measure/VectorMeasure.lean` and is known as
+`MeasureTheory.ComplexMeasure`.
 
 ## Main definitions
 
@@ -116,14 +117,14 @@ def equivSignedMeasureₗ : ComplexMeasure α ≃ₗ[R] SignedMeasure α × Sign
 
 end
 
-theorem absolutelyContinuous_eNNReal_iff (c : ComplexMeasure α) (μ : VectorMeasure α ℝ≥0∞) :
+theorem absolutelyContinuous_ennreal_iff (c : ComplexMeasure α) (μ : VectorMeasure α ℝ≥0∞) :
     c ≪ᵥ μ ↔ ComplexMeasure.re c ≪ᵥ μ ∧ ComplexMeasure.im c ≪ᵥ μ := by
   constructor <;> intro h
   · constructor <;> · intro i hi; simp [h hi]
   · intro i hi
     rw [← Complex.re_add_im (c i), (_ : (c i).re = 0), (_ : (c i).im = 0)]
     exacts [by simp, h.2 hi, h.1 hi]
-#align measure_theory.complex_measure.absolutely_continuous_ennreal_iff MeasureTheory.ComplexMeasure.absolutelyContinuous_eNNReal_iff
+#align measure_theory.complex_measure.absolutely_continuous_ennreal_iff MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff
 
 end ComplexMeasure

17b3357b

chore: fix grammar 2/3 (#5002)

Part 2 of #5001

9e80ae3b

Diff

@@ -101,7 +101,7 @@ variable {R : Type _} [Semiring R] [Module R ℝ]
 
 variable [ContinuousConstSMul R ℝ] [ContinuousConstSMul R ℂ]
 
-/-- The complex measures form an linear isomorphism to the type of pairs of signed measures. -/
+/-- The complex measures form a linear isomorphism to the type of pairs of signed measures. -/
 @[simps]
 def equivSignedMeasureₗ : ComplexMeasure α ≃ₗ[R] SignedMeasure α × SignedMeasure α :=
   { equivSignedMeasure with

17b3357b

chore: add space after exacts (#4945)

Too often tempted to change these during other PRs, so doing a mass edit here.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

bf799bb9

Diff

@@ -122,7 +122,7 @@ theorem absolutelyContinuous_eNNReal_iff (c : ComplexMeasure α) (μ : VectorMea
   · constructor <;> · intro i hi; simp [h hi]
   · intro i hi
     rw [← Complex.re_add_im (c i), (_ : (c i).re = 0), (_ : (c i).im = 0)]
-    exacts[by simp, h.2 hi, h.1 hi]
+    exacts [by simp, h.2 hi, h.1 hi]
 #align measure_theory.complex_measure.absolutely_continuous_ennreal_iff MeasureTheory.ComplexMeasure.absolutelyContinuous_eNNReal_iff
 
 end ComplexMeasure

17b3357b

feat: port MeasureTheory.Measure.Complex (#4471)

6e48706d

`measure_theory.measure.complex` ⟷ `Mathlib.MeasureTheory.Measure.Complex`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 716

measure_theory.measure.complex ⟷ Mathlib.MeasureTheory.Measure.Complex

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 716

`measure_theory.measure.complex` ⟷ `Mathlib.MeasureTheory.Measure.Complex`