analysis.box_integral.partition.measure ⟷ Mathlib.Analysis.BoxIntegral.Partition.Measure

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

@@ -3,8 +3,8 @@ Copyright (c) 2021 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.Analysis.BoxIntegral.Partition.Additive
-import Mathbin.MeasureTheory.Measure.Lebesgue.Basic
+import Analysis.BoxIntegral.Partition.Additive
+import MeasureTheory.Measure.Lebesgue.Basic
 
 #align_import analysis.box_integral.partition.measure from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"
 

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

@@ -2,15 +2,12 @@
 Copyright (c) 2021 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 analysis.box_integral.partition.measure
-! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.BoxIntegral.Partition.Additive
 import Mathbin.MeasureTheory.Measure.Lebesgue.Basic
 
+#align_import analysis.box_integral.partition.measure from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"
+
 /-!
 # Box-additive functions defined by measures
 

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

@@ -48,13 +48,17 @@ namespace Box
 
 variable (I : Box ι)
 
+#print BoxIntegral.Box.measure_Icc_lt_top /-
 theorem measure_Icc_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : μ I.Icc < ∞ :=
   show μ (Icc I.lower I.upper) < ∞ from I.isCompact_Icc.measure_lt_top
 #align box_integral.box.measure_Icc_lt_top BoxIntegral.Box.measure_Icc_lt_top
+-/
 
+#print BoxIntegral.Box.measure_coe_lt_top /-
 theorem measure_coe_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : μ I < ∞ :=
   (measure_mono <| coe_subset_Icc).trans_lt (I.measure_Icc_lt_top μ)
 #align box_integral.box.measure_coe_lt_top BoxIntegral.Box.measure_coe_lt_top
+-/
 
 section Countable
 
@@ -66,9 +70,11 @@ theorem measurableSet_coe : MeasurableSet (I : Set (ι → ℝ)) := by rw [coe_e
 #align box_integral.box.measurable_set_coe BoxIntegral.Box.measurableSet_coe
 -/
 
+#print BoxIntegral.Box.measurableSet_Icc /-
 theorem measurableSet_Icc : MeasurableSet I.Icc :=
   measurableSet_Icc
 #align box_integral.box.measurable_set_Icc BoxIntegral.Box.measurableSet_Icc
+-/
 
 #print BoxIntegral.Box.measurableSet_Ioo /-
 theorem measurableSet_Ioo : MeasurableSet I.Ioo :=
@@ -143,11 +149,13 @@ theorem volume_apply (I : Box ι) :
 #align box_integral.box.volume_apply BoxIntegral.Box.volume_apply
 -/
 
+#print BoxIntegral.Box.volume_face_mul /-
 theorem volume_face_mul {n} (i : Fin (n + 1)) (I : Box (Fin (n + 1))) :
     (∏ j, ((I.face i).upper j - (I.face i).lower j)) * (I.upper i - I.lower i) =
       ∏ j, (I.upper j - I.lower j) :=
   by simp only [face_lower, face_upper, (· ∘ ·), Fin.prod_univ_succAbove _ i, mul_comm]
 #align box_integral.box.volume_face_mul BoxIntegral.Box.volume_face_mul
+-/
 
 end Box
 
@@ -161,10 +169,12 @@ protected def volume {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] : 
 #align box_integral.box_additive_map.volume BoxIntegral.BoxAdditiveMap.volume
 -/
 
+#print BoxIntegral.BoxAdditiveMap.volume_apply /-
 theorem volume_apply {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] (I : Box ι) (x : E) :
     BoxAdditiveMap.volume I x = (∏ j, (I.upper j - I.lower j)) • x :=
   congr_arg₂ (· • ·) I.volume_apply rfl
 #align box_integral.box_additive_map.volume_apply BoxIntegral.BoxAdditiveMap.volume_apply
+-/
 
 end BoxAdditiveMap
 

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

@@ -138,14 +138,14 @@ namespace Box
 #print BoxIntegral.Box.volume_apply /-
 @[simp]
 theorem volume_apply (I : Box ι) :
-    (volume : Measure (ι → ℝ)).toBoxAdditive I = ∏ i, I.upper i - I.lower i := by
+    (volume : Measure (ι → ℝ)).toBoxAdditive I = ∏ i, (I.upper i - I.lower i) := by
   rw [measure.to_box_additive_apply, coe_eq_pi, Real.volume_pi_Ioc_toReal I.lower_le_upper]
 #align box_integral.box.volume_apply BoxIntegral.Box.volume_apply
 -/
 
 theorem volume_face_mul {n} (i : Fin (n + 1)) (I : Box (Fin (n + 1))) :
-    (∏ j, (I.face i).upper j - (I.face i).lower j) * (I.upper i - I.lower i) =
-      ∏ j, I.upper j - I.lower j :=
+    (∏ j, ((I.face i).upper j - (I.face i).lower j)) * (I.upper i - I.lower i) =
+      ∏ j, (I.upper j - I.lower j) :=
   by simp only [face_lower, face_upper, (· ∘ ·), Fin.prod_univ_succAbove _ i, mul_comm]
 #align box_integral.box.volume_face_mul BoxIntegral.Box.volume_face_mul
 
@@ -162,7 +162,7 @@ protected def volume {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] : 
 -/
 
 theorem volume_apply {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] (I : Box ι) (x : E) :
-    BoxAdditiveMap.volume I x = (∏ j, I.upper j - I.lower j) • x :=
+    BoxAdditiveMap.volume I x = (∏ j, (I.upper j - I.lower j)) • x :=
   congr_arg₂ (· • ·) I.volume_apply rfl
 #align box_integral.box_additive_map.volume_apply BoxIntegral.BoxAdditiveMap.volume_apply
 

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

@@ -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 analysis.box_integral.partition.measure
-! leanprover-community/mathlib commit fd5edc43dc4f10b85abfe544b88f82cf13c5f844
+! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
 ! 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.Measure.Lebesgue.Basic
 /-!
 # Box-additive functions defined by measures
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we prove a few simple facts about rectangular boxes, partitions, and measures:
 
 - given a box `I : box ι`, its coercion to `set (ι → ℝ)` and `I.Icc` are measurable sets;

mathlib commit https://github.com/leanprover-community/mathlib/commit/13361559d66b84f80b6d5a1c4a26aa5054766725

@@ -57,32 +57,41 @@ section Countable
 
 variable [Countable ι]
 
+#print BoxIntegral.Box.measurableSet_coe /-
 theorem measurableSet_coe : MeasurableSet (I : Set (ι → ℝ)) := by rw [coe_eq_pi];
   exact MeasurableSet.univ_pi fun i => measurableSet_Ioc
 #align box_integral.box.measurable_set_coe BoxIntegral.Box.measurableSet_coe
+-/
 
 theorem measurableSet_Icc : MeasurableSet I.Icc :=
   measurableSet_Icc
 #align box_integral.box.measurable_set_Icc BoxIntegral.Box.measurableSet_Icc
 
+#print BoxIntegral.Box.measurableSet_Ioo /-
 theorem measurableSet_Ioo : MeasurableSet I.Ioo :=
   MeasurableSet.univ_pi fun i => measurableSet_Ioo
 #align box_integral.box.measurable_set_Ioo BoxIntegral.Box.measurableSet_Ioo
+-/
 
 end Countable
 
 variable [Fintype ι]
 
+#print BoxIntegral.Box.coe_ae_eq_Icc /-
 theorem coe_ae_eq_Icc : (I : Set (ι → ℝ)) =ᵐ[volume] I.Icc := by rw [coe_eq_pi];
   exact measure.univ_pi_Ioc_ae_eq_Icc
 #align box_integral.box.coe_ae_eq_Icc BoxIntegral.Box.coe_ae_eq_Icc
+-/
 
+#print BoxIntegral.Box.Ioo_ae_eq_Icc /-
 theorem Ioo_ae_eq_Icc : I.Ioo =ᵐ[volume] I.Icc :=
   Measure.univ_pi_Ioo_ae_eq_Icc
 #align box_integral.box.Ioo_ae_eq_Icc BoxIntegral.Box.Ioo_ae_eq_Icc
+-/
 
 end Box
 
+#print BoxIntegral.Prepartition.measure_iUnion_toReal /-
 theorem Prepartition.measure_iUnion_toReal [Finite ι] {I : Box ι} (π : Prepartition I)
     (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] :
     (μ π.iUnion).toReal = ∑ J in π.boxes, (μ J).toReal :=
@@ -90,6 +99,7 @@ theorem Prepartition.measure_iUnion_toReal [Finite ι] {I : Box ι} (π : Prepar
   erw [← ENNReal.toReal_sum, π.Union_def, measure_bUnion_finset π.pairwise_disjoint]
   exacts [fun J hJ => J.measurableSet_coe, fun J hJ => (J.measure_coe_lt_top μ).Ne]
 #align box_integral.prepartition.measure_Union_to_real BoxIntegral.Prepartition.measure_iUnion_toReal
+-/
 
 end BoxIntegral
 
@@ -101,6 +111,7 @@ namespace MeasureTheory
 
 namespace Measure
 
+#print MeasureTheory.Measure.toBoxAdditive /-
 /-- If `μ` is a locally finite measure on `ℝⁿ`, then `λ J, (μ J).to_real` is a box-additive
 function. -/
 @[simps]
@@ -109,6 +120,7 @@ def toBoxAdditive (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : ι 
   toFun J := (μ J).toReal
   sum_partition_boxes' J hJ π hπ := by rw [← π.measure_Union_to_real, hπ.Union_eq]
 #align measure_theory.measure.to_box_additive MeasureTheory.Measure.toBoxAdditive
+-/
 
 end Measure
 
@@ -120,11 +132,13 @@ open MeasureTheory
 
 namespace Box
 
+#print BoxIntegral.Box.volume_apply /-
 @[simp]
 theorem volume_apply (I : Box ι) :
     (volume : Measure (ι → ℝ)).toBoxAdditive I = ∏ i, I.upper i - I.lower i := by
   rw [measure.to_box_additive_apply, coe_eq_pi, Real.volume_pi_Ioc_toReal I.lower_le_upper]
 #align box_integral.box.volume_apply BoxIntegral.Box.volume_apply
+-/
 
 theorem volume_face_mul {n} (i : Fin (n + 1)) (I : Box (Fin (n + 1))) :
     (∏ j, (I.face i).upper j - (I.face i).lower j) * (I.upper i - I.lower i) =
@@ -136,11 +150,13 @@ end Box
 
 namespace BoxAdditiveMap
 
+#print BoxIntegral.BoxAdditiveMap.volume /-
 /-- Box-additive map sending each box `I` to the continuous linear endomorphism
 `x ↦ (volume I).to_real • x`. -/
 protected def volume {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] : ι →ᵇᵃ E →L[ℝ] E :=
   (volume : Measure (ι → ℝ)).toBoxAdditive.toSMul
 #align box_integral.box_additive_map.volume BoxIntegral.BoxAdditiveMap.volume
+-/
 
 theorem volume_apply {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] (I : Box ι) (x : E) :
     BoxAdditiveMap.volume I x = (∏ j, I.upper j - I.lower j) • x :=

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

@@ -45,11 +45,11 @@ namespace Box
 
 variable (I : Box ι)
 
-theorem measure_Icc_lt_top (μ : Measure (ι → ℝ)) [LocallyFiniteMeasure μ] : μ I.Icc < ∞ :=
+theorem measure_Icc_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : μ I.Icc < ∞ :=
   show μ (Icc I.lower I.upper) < ∞ from I.isCompact_Icc.measure_lt_top
 #align box_integral.box.measure_Icc_lt_top BoxIntegral.Box.measure_Icc_lt_top
 
-theorem measure_coe_lt_top (μ : Measure (ι → ℝ)) [LocallyFiniteMeasure μ] : μ I < ∞ :=
+theorem measure_coe_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : μ I < ∞ :=
   (measure_mono <| coe_subset_Icc).trans_lt (I.measure_Icc_lt_top μ)
 #align box_integral.box.measure_coe_lt_top BoxIntegral.Box.measure_coe_lt_top
 
@@ -84,7 +84,7 @@ theorem Ioo_ae_eq_Icc : I.Ioo =ᵐ[volume] I.Icc :=
 end Box
 
 theorem Prepartition.measure_iUnion_toReal [Finite ι] {I : Box ι} (π : Prepartition I)
-    (μ : Measure (ι → ℝ)) [LocallyFiniteMeasure μ] :
+    (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] :
     (μ π.iUnion).toReal = ∑ J in π.boxes, (μ J).toReal :=
   by
   erw [← ENNReal.toReal_sum, π.Union_def, measure_bUnion_finset π.pairwise_disjoint]
@@ -104,7 +104,7 @@ namespace Measure
 /-- If `μ` is a locally finite measure on `ℝⁿ`, then `λ J, (μ J).to_real` is a box-additive
 function. -/
 @[simps]
-def toBoxAdditive (μ : Measure (ι → ℝ)) [LocallyFiniteMeasure μ] : ι →ᵇᵃ[⊤] ℝ
+def toBoxAdditive (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : ι →ᵇᵃ[⊤] ℝ
     where
   toFun J := (μ J).toReal
   sum_partition_boxes' J hJ π hπ := by rw [← π.measure_Union_to_real, hπ.Union_eq]

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

@@ -88,7 +88,7 @@ theorem Prepartition.measure_iUnion_toReal [Finite ι] {I : Box ι} (π : Prepar
     (μ π.iUnion).toReal = ∑ J in π.boxes, (μ J).toReal :=
   by
   erw [← ENNReal.toReal_sum, π.Union_def, measure_bUnion_finset π.pairwise_disjoint]
-  exacts[fun J hJ => J.measurableSet_coe, fun J hJ => (J.measure_coe_lt_top μ).Ne]
+  exacts [fun J hJ => J.measurableSet_coe, fun J hJ => (J.measure_coe_lt_top μ).Ne]
 #align box_integral.prepartition.measure_Union_to_real BoxIntegral.Prepartition.measure_iUnion_toReal
 
 end BoxIntegral

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

@@ -33,7 +33,7 @@ open Set
 
 noncomputable section
 
-open ENNReal BigOperators Classical BoxIntegral
+open scoped ENNReal BigOperators Classical BoxIntegral
 
 variable {ι : Type _}
 

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

@@ -57,9 +57,7 @@ section Countable
 
 variable [Countable ι]
 
-theorem measurableSet_coe : MeasurableSet (I : Set (ι → ℝ)) :=
-  by
-  rw [coe_eq_pi]
+theorem measurableSet_coe : MeasurableSet (I : Set (ι → ℝ)) := by rw [coe_eq_pi];
   exact MeasurableSet.univ_pi fun i => measurableSet_Ioc
 #align box_integral.box.measurable_set_coe BoxIntegral.Box.measurableSet_coe
 
@@ -75,9 +73,7 @@ end Countable
 
 variable [Fintype ι]
 
-theorem coe_ae_eq_Icc : (I : Set (ι → ℝ)) =ᵐ[volume] I.Icc :=
-  by
-  rw [coe_eq_pi]
+theorem coe_ae_eq_Icc : (I : Set (ι → ℝ)) =ᵐ[volume] I.Icc := by rw [coe_eq_pi];
   exact measure.univ_pi_Ioc_ae_eq_Icc
 #align box_integral.box.coe_ae_eq_Icc BoxIntegral.Box.coe_ae_eq_Icc
 

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

@@ -143,7 +143,7 @@ namespace BoxAdditiveMap
 /-- Box-additive map sending each box `I` to the continuous linear endomorphism
 `x ↦ (volume I).to_real • x`. -/
 protected def volume {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] : ι →ᵇᵃ E →L[ℝ] E :=
-  (volume : Measure (ι → ℝ)).toBoxAdditive.toSmul
+  (volume : Measure (ι → ℝ)).toBoxAdditive.toSMul
 #align box_integral.box_additive_map.volume BoxIntegral.BoxAdditiveMap.volume
 
 theorem volume_apply {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] (I : Box ι) (x : E) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/f51de8769c34652d82d1c8e5f8f18f8374782bed

@@ -4,12 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.box_integral.partition.measure
-! leanprover-community/mathlib commit d003c55042c3cd08aefd1ae9a42ef89441cdaaf3
+! leanprover-community/mathlib commit fd5edc43dc4f10b85abfe544b88f82cf13c5f844
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.BoxIntegral.Partition.Additive
-import Mathbin.MeasureTheory.Measure.Lebesgue
+import Mathbin.MeasureTheory.Measure.Lebesgue.Basic
 
 /-!
 # Box-additive functions defined by measures

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

@@ -87,13 +87,13 @@ theorem Ioo_ae_eq_Icc : I.Ioo =ᵐ[volume] I.Icc :=
 
 end Box
 
-theorem Prepartition.measure_unionᵢ_toReal [Finite ι] {I : Box ι} (π : Prepartition I)
+theorem Prepartition.measure_iUnion_toReal [Finite ι] {I : Box ι} (π : Prepartition I)
     (μ : Measure (ι → ℝ)) [LocallyFiniteMeasure μ] :
-    (μ π.unionᵢ).toReal = ∑ J in π.boxes, (μ J).toReal :=
+    (μ π.iUnion).toReal = ∑ J in π.boxes, (μ J).toReal :=
   by
   erw [← ENNReal.toReal_sum, π.Union_def, measure_bUnion_finset π.pairwise_disjoint]
   exacts[fun J hJ => J.measurableSet_coe, fun J hJ => (J.measure_coe_lt_top μ).Ne]
-#align box_integral.prepartition.measure_Union_to_real BoxIntegral.Prepartition.measure_unionᵢ_toReal
+#align box_integral.prepartition.measure_Union_to_real BoxIntegral.Prepartition.measure_iUnion_toReal
 
 end BoxIntegral
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/d4437c68c8d350fc9d4e95e1e174409db35e30d7

@@ -45,11 +45,11 @@ namespace Box
 
 variable (I : Box ι)
 
-theorem measure_Icc_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : μ I.Icc < ∞ :=
+theorem measure_Icc_lt_top (μ : Measure (ι → ℝ)) [LocallyFiniteMeasure μ] : μ I.Icc < ∞ :=
   show μ (Icc I.lower I.upper) < ∞ from I.isCompact_Icc.measure_lt_top
 #align box_integral.box.measure_Icc_lt_top BoxIntegral.Box.measure_Icc_lt_top
 
-theorem measure_coe_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : μ I < ∞ :=
+theorem measure_coe_lt_top (μ : Measure (ι → ℝ)) [LocallyFiniteMeasure μ] : μ I < ∞ :=
   (measure_mono <| coe_subset_Icc).trans_lt (I.measure_Icc_lt_top μ)
 #align box_integral.box.measure_coe_lt_top BoxIntegral.Box.measure_coe_lt_top
 
@@ -88,7 +88,7 @@ theorem Ioo_ae_eq_Icc : I.Ioo =ᵐ[volume] I.Icc :=
 end Box
 
 theorem Prepartition.measure_unionᵢ_toReal [Finite ι] {I : Box ι} (π : Prepartition I)
-    (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] :
+    (μ : Measure (ι → ℝ)) [LocallyFiniteMeasure μ] :
     (μ π.unionᵢ).toReal = ∑ J in π.boxes, (μ J).toReal :=
   by
   erw [← ENNReal.toReal_sum, π.Union_def, measure_bUnion_finset π.pairwise_disjoint]
@@ -108,7 +108,7 @@ namespace Measure
 /-- If `μ` is a locally finite measure on `ℝⁿ`, then `λ J, (μ J).to_real` is a box-additive
 function. -/
 @[simps]
-def toBoxAdditive (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : ι →ᵇᵃ[⊤] ℝ
+def toBoxAdditive (μ : Measure (ι → ℝ)) [LocallyFiniteMeasure μ] : ι →ᵇᵃ[⊤] ℝ
     where
   toFun J := (μ J).toReal
   sum_partition_boxes' J hJ π hπ := by rw [← π.measure_Union_to_real, hπ.Union_eq]

mathlib commit https://github.com/leanprover-community/mathlib/commit/d2d964c64f8ddcccd6704a731c41f95d13e72f5c

@@ -87,13 +87,13 @@ theorem Ioo_ae_eq_Icc : I.Ioo =ᵐ[volume] I.Icc :=
 
 end Box
 
-theorem Prepartition.measure_union_toReal [Finite ι] {I : Box ι} (π : Prepartition I)
+theorem Prepartition.measure_unionᵢ_toReal [Finite ι] {I : Box ι} (π : Prepartition I)
     (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] :
     (μ π.unionᵢ).toReal = ∑ J in π.boxes, (μ J).toReal :=
   by
   erw [← ENNReal.toReal_sum, π.Union_def, measure_bUnion_finset π.pairwise_disjoint]
   exacts[fun J hJ => J.measurableSet_coe, fun J hJ => (J.measure_coe_lt_top μ).Ne]
-#align box_integral.prepartition.measure_Union_to_real BoxIntegral.Prepartition.measure_union_toReal
+#align box_integral.prepartition.measure_Union_to_real BoxIntegral.Prepartition.measure_unionᵢ_toReal
 
 end BoxIntegral
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/730c6d4cab72b9d84fcfb9e95e8796e9cd8f40ba

@@ -50,7 +50,7 @@ theorem measure_Icc_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure 
 #align box_integral.box.measure_Icc_lt_top BoxIntegral.Box.measure_Icc_lt_top
 
 theorem measure_coe_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : μ I < ∞ :=
-  (measure_mono <| coe_subset_icc).trans_lt (I.measure_Icc_lt_top μ)
+  (measure_mono <| coe_subset_Icc).trans_lt (I.measure_Icc_lt_top μ)
 #align box_integral.box.measure_coe_lt_top BoxIntegral.Box.measure_coe_lt_top
 
 section Countable

mathlib commit https://github.com/leanprover-community/mathlib/commit/7ebf83ed9c262adbf983ef64d5e8c2ae94b625f4

@@ -45,9 +45,9 @@ namespace Box
 
 variable (I : Box ι)
 
-theorem measure_icc_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : μ I.Icc < ∞ :=
+theorem measure_Icc_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : μ I.Icc < ∞ :=
   show μ (Icc I.lower I.upper) < ∞ from I.isCompact_Icc.measure_lt_top
-#align box_integral.box.measure_Icc_lt_top BoxIntegral.Box.measure_icc_lt_top
+#align box_integral.box.measure_Icc_lt_top BoxIntegral.Box.measure_Icc_lt_top
 
 theorem measure_coe_lt_top (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : μ I < ∞ :=
   (measure_mono <| coe_subset_icc).trans_lt (I.measure_Icc_lt_top μ)
@@ -63,27 +63,27 @@ theorem measurableSet_coe : MeasurableSet (I : Set (ι → ℝ)) :=
   exact MeasurableSet.univ_pi fun i => measurableSet_Ioc
 #align box_integral.box.measurable_set_coe BoxIntegral.Box.measurableSet_coe
 
-theorem measurableSet_icc : MeasurableSet I.Icc :=
+theorem measurableSet_Icc : MeasurableSet I.Icc :=
   measurableSet_Icc
-#align box_integral.box.measurable_set_Icc BoxIntegral.Box.measurableSet_icc
+#align box_integral.box.measurable_set_Icc BoxIntegral.Box.measurableSet_Icc
 
-theorem measurableSet_ioo : MeasurableSet I.Ioo :=
+theorem measurableSet_Ioo : MeasurableSet I.Ioo :=
   MeasurableSet.univ_pi fun i => measurableSet_Ioo
-#align box_integral.box.measurable_set_Ioo BoxIntegral.Box.measurableSet_ioo
+#align box_integral.box.measurable_set_Ioo BoxIntegral.Box.measurableSet_Ioo
 
 end Countable
 
 variable [Fintype ι]
 
-theorem coe_ae_eq_icc : (I : Set (ι → ℝ)) =ᵐ[volume] I.Icc :=
+theorem coe_ae_eq_Icc : (I : Set (ι → ℝ)) =ᵐ[volume] I.Icc :=
   by
   rw [coe_eq_pi]
   exact measure.univ_pi_Ioc_ae_eq_Icc
-#align box_integral.box.coe_ae_eq_Icc BoxIntegral.Box.coe_ae_eq_icc
+#align box_integral.box.coe_ae_eq_Icc BoxIntegral.Box.coe_ae_eq_Icc
 
-theorem ioo_ae_eq_icc : I.Ioo =ᵐ[volume] I.Icc :=
+theorem Ioo_ae_eq_Icc : I.Ioo =ᵐ[volume] I.Icc :=
   Measure.univ_pi_Ioo_ae_eq_Icc
-#align box_integral.box.Ioo_ae_eq_Icc BoxIntegral.Box.ioo_ae_eq_icc
+#align box_integral.box.Ioo_ae_eq_Icc BoxIntegral.Box.Ioo_ae_eq_Icc
 
 end Box
 

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

@@ -33,7 +33,7 @@ open Set
 
 noncomputable section
 
-open Ennreal BigOperators Classical BoxIntegral
+open ENNReal BigOperators Classical BoxIntegral
 
 variable {ι : Type _}
 
@@ -91,7 +91,7 @@ theorem Prepartition.measure_union_toReal [Finite ι] {I : Box ι} (π : Prepart
     (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] :
     (μ π.unionᵢ).toReal = ∑ J in π.boxes, (μ J).toReal :=
   by
-  erw [← Ennreal.toReal_sum, π.Union_def, measure_bUnion_finset π.pairwise_disjoint]
+  erw [← ENNReal.toReal_sum, π.Union_def, measure_bUnion_finset π.pairwise_disjoint]
   exacts[fun J hJ => J.measurableSet_coe, fun J hJ => (J.measure_coe_lt_top μ).Ne]
 #align box_integral.prepartition.measure_Union_to_real BoxIntegral.Prepartition.measure_union_toReal
 

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

Fix 1 typo, 5 lowercase, 4 header depths

@@ -20,7 +20,7 @@ In this file we prove a few simple facts about rectangular boxes, partitions, an
 For the last statement, we both prove it as a proposition and define a bundled
 `BoxIntegral.BoxAdditiveMap` function.
 
-### Tags
+## Tags
 
 rectangular box, measure
 -/

@@ -93,8 +93,6 @@ end BoxIntegral
 
 open BoxIntegral BoxIntegral.Box
 
-variable [Fintype ι]
-
 namespace MeasureTheory
 
 namespace Measure
@@ -102,7 +100,7 @@ namespace Measure
 /-- If `μ` is a locally finite measure on `ℝⁿ`, then `fun J ↦ (μ J).toReal` is a box-additive
 function. -/
 @[simps]
-def toBoxAdditive (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : ι →ᵇᵃ[⊤] ℝ where
+def toBoxAdditive [Finite ι] (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] : ι →ᵇᵃ[⊤] ℝ where
   toFun J := (μ J).toReal
   sum_partition_boxes' J _ π hπ := by rw [← π.measure_iUnion_toReal, hπ.iUnion_eq]
 #align measure_theory.measure.to_box_additive MeasureTheory.Measure.toBoxAdditive
@@ -117,6 +115,8 @@ open MeasureTheory
 
 namespace Box
 
+variable [Fintype ι]
+
 -- @[simp] -- Porting note: simp normal form is `volume_apply'`
 theorem volume_apply (I : Box ι) :
     (volume : Measure (ι → ℝ)).toBoxAdditive I = ∏ i, (I.upper i - I.lower i) := by
@@ -138,6 +138,8 @@ end Box
 
 namespace BoxAdditiveMap
 
+variable [Fintype ι]
+
 /-- Box-additive map sending each box `I` to the continuous linear endomorphism
 `x ↦ (volume I).toReal • x`. -/
 protected def volume {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] : ι →ᵇᵃ E →L[ℝ] E :=

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

This has nice performance benefits.

@@ -32,7 +32,7 @@ noncomputable section
 
 open scoped ENNReal BigOperators Classical BoxIntegral
 
-variable {ι : Type _}
+variable {ι : Type*}
 
 namespace BoxIntegral
 
@@ -140,11 +140,11 @@ namespace BoxAdditiveMap
 
 /-- Box-additive map sending each box `I` to the continuous linear endomorphism
 `x ↦ (volume I).toReal • x`. -/
-protected def volume {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] : ι →ᵇᵃ E →L[ℝ] E :=
+protected def volume {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] : ι →ᵇᵃ E →L[ℝ] E :=
   (volume : Measure (ι → ℝ)).toBoxAdditive.toSMul
 #align box_integral.box_additive_map.volume BoxIntegral.BoxAdditiveMap.volume
 
-theorem volume_apply {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] (I : Box ι) (x : E) :
+theorem volume_apply {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] (I : Box ι) (x : E) :
     BoxAdditiveMap.volume I x = (∏ j, (I.upper j - I.lower j)) • x := by
   rw [BoxAdditiveMap.volume, toSMul_apply]
   exact congr_arg₂ (· • ·) I.volume_apply rfl

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright (c) 2021 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 analysis.box_integral.partition.measure
-! leanprover-community/mathlib commit fd5edc43dc4f10b85abfe544b88f82cf13c5f844
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.BoxIntegral.Partition.Additive
 import Mathlib.MeasureTheory.Measure.Lebesgue.Basic
 
+#align_import analysis.box_integral.partition.measure from "leanprover-community/mathlib"@"fd5edc43dc4f10b85abfe544b88f82cf13c5f844"
+
 /-!
 # Box-additive functions defined by measures
 

Co-authored-by: Alex J Best <alex.j.best@gmail.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -88,7 +88,7 @@ end Box
 theorem Prepartition.measure_iUnion_toReal [Finite ι] {I : Box ι} (π : Prepartition I)
     (μ : Measure (ι → ℝ)) [IsLocallyFiniteMeasure μ] :
     (μ π.iUnion).toReal = ∑ J in π.boxes, (μ J).toReal := by
-  erw [← ENNReal.toReal_sum, π.iUnion_def, measure_biUnion_finset π.PairwiseDisjoint]
+  erw [← ENNReal.toReal_sum, π.iUnion_def, measure_biUnion_finset π.pairwiseDisjoint]
   exacts [fun J _ => J.measurableSet_coe, fun J _ => (J.measure_coe_lt_top μ).ne]
 #align box_integral.prepartition.measure_Union_to_real BoxIntegral.Prepartition.measure_iUnion_toReal
 

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>