measure_theory.integral.interval_average

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

9003f287

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

7e5137f5

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2022 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.MeasureTheory.Integral.IntervalIntegral
-import Mathbin.MeasureTheory.Integral.Average
+import MeasureTheory.Integral.IntervalIntegral
+import MeasureTheory.Integral.Average
 
 #align_import measure_theory.integral.interval_average from "leanprover-community/mathlib"@"7e5137f579de09a059a5ce98f364a04e221aabf0"

7e5137f5

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 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.integral.interval_average
-! leanprover-community/mathlib commit 7e5137f579de09a059a5ce98f364a04e221aabf0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.MeasureTheory.Integral.IntervalIntegral
 import Mathbin.MeasureTheory.Integral.Average
 
+#align_import measure_theory.integral.interval_average from "leanprover-community/mathlib"@"7e5137f579de09a059a5ce98f364a04e221aabf0"
+
 /-!
 # Integral average over an interval

7e5137f5

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -39,7 +39,6 @@ open scoped Interval
 
 variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E]
 
--- mathport name: «expr⨍ in .. , »
 notation3"⨍ "(...)" in "a".."b", "r:60:(scoped f => average Measure.restrict volume Ι a b f) => r
 
 #print interval_average_symm /-
@@ -48,6 +47,7 @@ theorem interval_average_symm (f : ℝ → E) (a b : ℝ) : ⨍ x in a..b, f x =
 #align interval_average_symm interval_average_symm
 -/
 
+#print interval_average_eq /-
 theorem interval_average_eq (f : ℝ → E) (a b : ℝ) :
     ⨍ x in a..b, f x = (b - a)⁻¹ • ∫ x in a..b, f x :=
   by
@@ -59,9 +59,12 @@ theorem interval_average_eq (f : ℝ → E) (a b : ℝ) :
     rw [set_average_eq, uIoc_of_lt h, Real.volume_Ioc, intervalIntegral.integral_of_ge h.le,
       ENNReal.toReal_ofReal (sub_nonneg.2 h.le), smul_neg, ← neg_smul, ← inv_neg, neg_sub]
 #align interval_average_eq interval_average_eq
+-/
 
+#print interval_average_eq_div /-
 theorem interval_average_eq_div (f : ℝ → ℝ) (a b : ℝ) :
     ⨍ x in a..b, f x = (∫ x in a..b, f x) / (b - a) := by
   rw [interval_average_eq, smul_eq_mul, div_eq_inv_mul]
 #align interval_average_eq_div interval_average_eq_div
+-/

7e5137f5

bump to nightly-2023-06-10-07

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

3fdc57bc

Diff

@@ -40,16 +40,16 @@ open scoped Interval
 variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E]
 
 -- mathport name: «expr⨍ in .. , »
-notation3"⨍ "(...)" in "a".."b", "r:(scoped f => average Measure.restrict volume Ι a b f) => r
+notation3"⨍ "(...)" in "a".."b", "r:60:(scoped f => average Measure.restrict volume Ι a b f) => r
 
 #print interval_average_symm /-
-theorem interval_average_symm (f : ℝ → E) (a b : ℝ) : (⨍ x in a..b, f x) = ⨍ x in b..a, f x := by
+theorem interval_average_symm (f : ℝ → E) (a b : ℝ) : ⨍ x in a..b, f x = ⨍ x in b..a, f x := by
   rw [set_average_eq, set_average_eq, uIoc_swap]
 #align interval_average_symm interval_average_symm
 -/
 
 theorem interval_average_eq (f : ℝ → E) (a b : ℝ) :
-    (⨍ x in a..b, f x) = (b - a)⁻¹ • ∫ x in a..b, f x :=
+    ⨍ x in a..b, f x = (b - a)⁻¹ • ∫ x in a..b, f x :=
   by
   cases' le_or_lt a b with h h
   ·
@@ -61,7 +61,7 @@ theorem interval_average_eq (f : ℝ → E) (a b : ℝ) :
 #align interval_average_eq interval_average_eq
 
 theorem interval_average_eq_div (f : ℝ → ℝ) (a b : ℝ) :
-    (⨍ x in a..b, f x) = (∫ x in a..b, f x) / (b - a) := by
+    ⨍ x in a..b, f x = (∫ x in a..b, f x) / (b - a) := by
   rw [interval_average_eq, smul_eq_mul, div_eq_inv_mul]
 #align interval_average_eq_div interval_average_eq_div

7e5137f5

bump to nightly-2023-06-09-03

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

fe176e9b

Diff

@@ -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.integral.interval_average
-! leanprover-community/mathlib commit 9003f28797c0664a49e4179487267c494477d853
+! leanprover-community/mathlib commit 7e5137f579de09a059a5ce98f364a04e221aabf0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.MeasureTheory.Integral.Average
 /-!
 # Integral average over an interval
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we introduce notation `⨍ x in a..b, f x` for the average `⨍ x in Ι a b, f x` of `f`
 over the interval `Ι a b = set.Ioc (min a b) (max a b)` w.r.t. the Lebesgue measure, then prove
 formulas for this average:

9003f287

bump to nightly-2023-06-07-23

mathlib commit https://github.com/leanprover-community/mathlib/commit/58a272265b5e05f258161260dd2c5d247213cbd3

c2a08841

Diff

@@ -39,9 +39,11 @@ variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace
 -- mathport name: «expr⨍ in .. , »
 notation3"⨍ "(...)" in "a".."b", "r:(scoped f => average Measure.restrict volume Ι a b f) => r
 
+#print interval_average_symm /-
 theorem interval_average_symm (f : ℝ → E) (a b : ℝ) : (⨍ x in a..b, f x) = ⨍ x in b..a, f x := by
   rw [set_average_eq, set_average_eq, uIoc_swap]
 #align interval_average_symm interval_average_symm
+-/
 
 theorem interval_average_eq (f : ℝ → E) (a b : ℝ) :
     (⨍ x in a..b, f x) = (b - a)⁻¹ • ∫ x in a..b, f x :=

9003f287

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -32,7 +32,7 @@ We also prove that `⨍ x in a..b, f x = ⨍ x in b..a, f x`, see `interval_aver
 
 open MeasureTheory Set TopologicalSpace
 
-open Interval
+open scoped Interval
 
 variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E]

9003f287

bump to nightly-2023-02-27-10

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

49ff026a

Diff

@@ -49,10 +49,10 @@ theorem interval_average_eq (f : ℝ → E) (a b : ℝ) :
   cases' le_or_lt a b with h h
   ·
     rw [set_average_eq, uIoc_of_le h, Real.volume_Ioc, intervalIntegral.integral_of_le h,
-      Ennreal.toReal_ofReal (sub_nonneg.2 h)]
+      ENNReal.toReal_ofReal (sub_nonneg.2 h)]
   ·
     rw [set_average_eq, uIoc_of_lt h, Real.volume_Ioc, intervalIntegral.integral_of_ge h.le,
-      Ennreal.toReal_ofReal (sub_nonneg.2 h.le), smul_neg, ← neg_smul, ← inv_neg, neg_sub]
+      ENNReal.toReal_ofReal (sub_nonneg.2 h.le), smul_neg, ← neg_smul, ← inv_neg, neg_sub]
 #align interval_average_eq interval_average_eq
 
 theorem interval_average_eq_div (f : ℝ → ℝ) (a b : ℝ) :

9003f287

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

9003f287

chore: remove uses of cases' (#9171)

I literally went through and regex'd some uses of cases', replacing them with rcases; this is meant to be a low effort PR as I hope that tools can do this in the future.

rcases is an easier replacement than cases, though with better tools we could in future do a second pass converting simple rcases added here (and existing ones) to cases.

3fca282c

Diff

@@ -42,7 +42,7 @@ theorem interval_average_symm (f : ℝ → E) (a b : ℝ) : (⨍ x in a..b, f x)
 
 theorem interval_average_eq (f : ℝ → E) (a b : ℝ) :
     (⨍ x in a..b, f x) = (b - a)⁻¹ • ∫ x in a..b, f x := by
-  cases' le_or_lt a b with h h
+  rcases le_or_lt a b with h | h
   · rw [setAverage_eq, uIoc_of_le h, Real.volume_Ioc, intervalIntegral.integral_of_le h,
       ENNReal.toReal_ofReal (sub_nonneg.2 h)]
   · rw [setAverage_eq, uIoc_of_lt h, Real.volume_Ioc, intervalIntegral.integral_of_ge h.le,

9003f287

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

@@ -31,7 +31,7 @@ open MeasureTheory Set TopologicalSpace
 
 open scoped Interval
 
-variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E]
+variable {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E]
 
 notation3 "⨍ "(...)" in "a".."b",
   "r:60:(scoped f => average (Measure.restrict volume (uIoc a b)) f) => r

9003f287

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

@@ -2,15 +2,12 @@
 Copyright (c) 2022 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.integral.interval_average
-! leanprover-community/mathlib commit 9003f28797c0664a49e4179487267c494477d853
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.MeasureTheory.Integral.IntervalIntegral
 import Mathlib.MeasureTheory.Integral.Average
 
+#align_import measure_theory.integral.interval_average from "leanprover-community/mathlib"@"9003f28797c0664a49e4179487267c494477d853"
+
 /-!
 # Integral average over an interval

9003f287

feat: Lebesgue average (#5810)

Match https://github.com/leanprover-community/mathlib/pull/19199

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

44d1fd93

Diff

@@ -40,15 +40,15 @@ notation3 "⨍ "(...)" in "a".."b",
   "r:60:(scoped f => average (Measure.restrict volume (uIoc a b)) f) => r
 
 theorem interval_average_symm (f : ℝ → E) (a b : ℝ) : (⨍ x in a..b, f x) = ⨍ x in b..a, f x := by
-  rw [set_average_eq, set_average_eq, uIoc_comm]
+  rw [setAverage_eq, setAverage_eq, uIoc_comm]
 #align interval_average_symm interval_average_symm
 
 theorem interval_average_eq (f : ℝ → E) (a b : ℝ) :
     (⨍ x in a..b, f x) = (b - a)⁻¹ • ∫ x in a..b, f x := by
   cases' le_or_lt a b with h h
-  · rw [set_average_eq, uIoc_of_le h, Real.volume_Ioc, intervalIntegral.integral_of_le h,
+  · rw [setAverage_eq, uIoc_of_le h, Real.volume_Ioc, intervalIntegral.integral_of_le h,
       ENNReal.toReal_ofReal (sub_nonneg.2 h)]
-  · rw [set_average_eq, uIoc_of_lt h, Real.volume_Ioc, intervalIntegral.integral_of_ge h.le,
+  · rw [setAverage_eq, uIoc_of_lt h, Real.volume_Ioc, intervalIntegral.integral_of_ge h.le,
       ENNReal.toReal_ofReal (sub_nonneg.2 h.le), smul_neg, ← neg_smul, ← inv_neg, neg_sub]
 #align interval_average_eq interval_average_eq

9003f287

chore: copy integral notation precedence from mathport (#4963)

Also drop some of the parentheses that are no longer needed.

60fe1293

Diff

@@ -36,8 +36,8 @@ open scoped Interval
 
 variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E]
 
-notation3 (prettyPrint := false)
-  "⨍ "(...)" in "a".."b", "r:(scoped f => average (Measure.restrict volume (Ι a b)) f) => r
+notation3 "⨍ "(...)" in "a".."b",
+  "r:60:(scoped f => average (Measure.restrict volume (uIoc a b)) f) => r
 
 theorem interval_average_symm (f : ℝ → E) (a b : ℝ) : (⨍ x in a..b, f x) = ⨍ x in b..a, f x := by
   rw [set_average_eq, set_average_eq, uIoc_comm]

9003f287

feat: port MeasureTheory.Integral.IntervalAverage (#4783)

d5e7df62

`measure_theory.integral.interval_average` ⟷ `Mathlib.MeasureTheory.Integral.IntervalAverage`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 996

measure_theory.integral.interval_average ⟷ Mathlib.MeasureTheory.Integral.IntervalAverage

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 996

`measure_theory.integral.interval_average` ⟷ `Mathlib.MeasureTheory.Integral.IntervalAverage`