measure_theory.integral.lebesgue_normed_space ⟷ Mathlib.MeasureTheory.Integral.LebesgueNormedSpace

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

@@ -32,7 +32,7 @@ theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
     have A : MeasurableSet {x : α | f x ≠ 0} := (hf (measurable_set_singleton 0)).compl
     refine' ⟨fun x => (f x : ℝ) • g' x, hf.coe_nnreal_real.smul g'meas, _⟩
     apply @ae_of_ae_restrict_of_ae_restrict_compl _ _ _ {x | f x ≠ 0}
-    · rw [eventually_eq, ae_with_density_iff hf.coe_nnreal_ennreal] at hg' 
+    · rw [eventually_eq, ae_with_density_iff hf.coe_nnreal_ennreal] at hg'
       rw [ae_restrict_iff' A]
       filter_upwards [hg']
       intro a ha h'a
@@ -40,7 +40,7 @@ theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
       rw [ha this]
     · filter_upwards [ae_restrict_mem A.compl]
       intro x hx
-      simp only [Classical.not_not, mem_set_of_eq, mem_compl_iff] at hx 
+      simp only [Classical.not_not, mem_set_of_eq, mem_compl_iff] at hx
       simp [hx]
   · rintro ⟨g', g'meas, hg'⟩
     refine' ⟨fun x => (f x : ℝ)⁻¹ • g' x, hf.coe_nnreal_real.inv.smul g'meas, _⟩
@@ -48,7 +48,7 @@ theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
     filter_upwards [hg']
     intro x hx h'x
     rw [← hx, smul_smul, _root_.inv_mul_cancel, one_smul]
-    simp only [Ne.def, NNReal.coe_eq_zero] at h'x 
+    simp only [Ne.def, NNReal.coe_eq_zero] at h'x
     simpa only [NNReal.coe_eq_zero, Ne.def] using h'x
 #align ae_measurable_with_density_iff aemeasurable_withDensity_iff
 -/

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

@@ -36,7 +36,7 @@ theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
       rw [ae_restrict_iff' A]
       filter_upwards [hg']
       intro a ha h'a
-      have : (f a : ℝ≥0∞) ≠ 0 := by simpa only [Ne.def, coe_eq_zero] using h'a
+      have : (f a : ℝ≥0∞) ≠ 0 := by simpa only [Ne.def, NNReal.coe_eq_zero] using h'a
       rw [ha this]
     · filter_upwards [ae_restrict_mem A.compl]
       intro x hx
@@ -48,7 +48,7 @@ theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
     filter_upwards [hg']
     intro x hx h'x
     rw [← hx, smul_smul, _root_.inv_mul_cancel, one_smul]
-    simp only [Ne.def, coe_eq_zero] at h'x 
+    simp only [Ne.def, NNReal.coe_eq_zero] at h'x 
     simpa only [NNReal.coe_eq_zero, Ne.def] using h'x
 #align ae_measurable_with_density_iff aemeasurable_withDensity_iff
 -/

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

@@ -22,8 +22,8 @@ variable {α β γ δ : Type _} {m : MeasurableSpace α} {μ : MeasureTheory.Mea
 
 #print aemeasurable_withDensity_iff /-
 theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
-    [TopologicalSpace.SecondCountableTopology E] [MeasurableSpace E] [BorelSpace E] {f : α → ℝ≥0}
-    (hf : Measurable f) {g : α → E} :
+    [SecondCountableTopology E] [MeasurableSpace E] [BorelSpace E] {f : α → ℝ≥0} (hf : Measurable f)
+    {g : α → E} :
     AEMeasurable g (μ.withDensity fun x => (f x : ℝ≥0∞)) ↔
       AEMeasurable (fun x => (f x : ℝ) • g x) μ :=
   by

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

@@ -3,8 +3,8 @@ Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathbin.MeasureTheory.Integral.Lebesgue
-import Mathbin.Analysis.NormedSpace.Basic
+import MeasureTheory.Integral.Lebesgue
+import Analysis.NormedSpace.Basic
 
 #align_import measure_theory.integral.lebesgue_normed_space from "leanprover-community/mathlib"@"38df578a6450a8c5142b3727e3ae894c2300cae0"
 

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

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module measure_theory.integral.lebesgue_normed_space
-! leanprover-community/mathlib commit 38df578a6450a8c5142b3727e3ae894c2300cae0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.MeasureTheory.Integral.Lebesgue
 import Mathbin.Analysis.NormedSpace.Basic
 
+#align_import measure_theory.integral.lebesgue_normed_space from "leanprover-community/mathlib"@"38df578a6450a8c5142b3727e3ae894c2300cae0"
+
 /-! # A lemma about measurability with density under scalar multiplication in normed spaces 
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.

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

@@ -23,6 +23,7 @@ open scoped NNReal ENNReal
 
 variable {α β γ δ : Type _} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
 
+#print aemeasurable_withDensity_iff /-
 theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [TopologicalSpace.SecondCountableTopology E] [MeasurableSpace E] [BorelSpace E] {f : α → ℝ≥0}
     (hf : Measurable f) {g : α → E} :
@@ -53,4 +54,5 @@ theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
     simp only [Ne.def, coe_eq_zero] at h'x 
     simpa only [NNReal.coe_eq_zero, Ne.def] using h'x
 #align ae_measurable_with_density_iff aemeasurable_withDensity_iff
+-/
 

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

@@ -31,9 +31,9 @@ theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
   by
   constructor
   · rintro ⟨g', g'meas, hg'⟩
-    have A : MeasurableSet { x : α | f x ≠ 0 } := (hf (measurable_set_singleton 0)).compl
+    have A : MeasurableSet {x : α | f x ≠ 0} := (hf (measurable_set_singleton 0)).compl
     refine' ⟨fun x => (f x : ℝ) • g' x, hf.coe_nnreal_real.smul g'meas, _⟩
-    apply @ae_of_ae_restrict_of_ae_restrict_compl _ _ _ { x | f x ≠ 0 }
+    apply @ae_of_ae_restrict_of_ae_restrict_compl _ _ _ {x | f x ≠ 0}
     · rw [eventually_eq, ae_with_density_iff hf.coe_nnreal_ennreal] at hg' 
       rw [ae_restrict_iff' A]
       filter_upwards [hg']

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

@@ -34,7 +34,7 @@ theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
     have A : MeasurableSet { x : α | f x ≠ 0 } := (hf (measurable_set_singleton 0)).compl
     refine' ⟨fun x => (f x : ℝ) • g' x, hf.coe_nnreal_real.smul g'meas, _⟩
     apply @ae_of_ae_restrict_of_ae_restrict_compl _ _ _ { x | f x ≠ 0 }
-    · rw [eventually_eq, ae_with_density_iff hf.coe_nnreal_ennreal] at hg'
+    · rw [eventually_eq, ae_with_density_iff hf.coe_nnreal_ennreal] at hg' 
       rw [ae_restrict_iff' A]
       filter_upwards [hg']
       intro a ha h'a
@@ -42,7 +42,7 @@ theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
       rw [ha this]
     · filter_upwards [ae_restrict_mem A.compl]
       intro x hx
-      simp only [Classical.not_not, mem_set_of_eq, mem_compl_iff] at hx
+      simp only [Classical.not_not, mem_set_of_eq, mem_compl_iff] at hx 
       simp [hx]
   · rintro ⟨g', g'meas, hg'⟩
     refine' ⟨fun x => (f x : ℝ)⁻¹ • g' x, hf.coe_nnreal_real.inv.smul g'meas, _⟩
@@ -50,7 +50,7 @@ theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
     filter_upwards [hg']
     intro x hx h'x
     rw [← hx, smul_smul, _root_.inv_mul_cancel, one_smul]
-    simp only [Ne.def, coe_eq_zero] at h'x
+    simp only [Ne.def, coe_eq_zero] at h'x 
     simpa only [NNReal.coe_eq_zero, Ne.def] using h'x
 #align ae_measurable_with_density_iff aemeasurable_withDensity_iff
 

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

@@ -19,7 +19,7 @@ import Mathbin.Analysis.NormedSpace.Basic
 
 open MeasureTheory Filter ENNReal Set
 
-open NNReal ENNReal
+open scoped NNReal ENNReal
 
 variable {α β γ δ : Type _} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
 

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

@@ -23,9 +23,6 @@ open NNReal ENNReal
 
 variable {α β γ δ : Type _} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
 
-/- warning: ae_measurable_with_density_iff -> aemeasurable_withDensity_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align ae_measurable_with_density_iff aemeasurable_withDensity_iffₓ'. -/
 theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [TopologicalSpace.SecondCountableTopology E] [MeasurableSpace E] [BorelSpace E] {f : α → ℝ≥0}
     (hf : Measurable f) {g : α → E} :

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

@@ -24,10 +24,7 @@ open NNReal ENNReal
 variable {α β γ δ : Type _} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
 
 /- warning: ae_measurable_with_density_iff -> aemeasurable_withDensity_iff is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {m : MeasurableSpace.{u1} α} {μ : MeasureTheory.Measure.{u1} α m} {E : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.SecondCountableTopology.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1))))] [_inst_4 : MeasurableSpace.{u2} E] [_inst_5 : BorelSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) _inst_4] {f : α -> NNReal}, (Measurable.{u1, 0} α NNReal m NNReal.measurableSpace f) -> (forall {g : α -> E}, Iff (AEMeasurable.{u1, u2} α E _inst_4 m g (MeasureTheory.Measure.withDensity.{u1} α m μ (fun (x : α) => (fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal ENNReal (HasLiftT.mk.{1, 1} NNReal ENNReal (CoeTCₓ.coe.{1, 1} NNReal ENNReal (coeBase.{1, 1} NNReal ENNReal ENNReal.hasCoe))) (f x)))) (AEMeasurable.{u1, u2} α E _inst_4 m (fun (x : α) => SMul.smul.{0, u2} Real E (SMulZeroClass.toHasSmul.{0, u2} Real E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real E (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real E (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))))) (Module.toMulActionWithZero.{0, u2} Real E (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1))) (NormedSpace.toModule.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) _inst_2))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) (f x)) (g x)) μ))
-but is expected to have type
-  forall {α : Type.{u1}} {m : MeasurableSpace.{u1} α} {μ : MeasureTheory.Measure.{u1} α m} {E : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.SecondCountableTopology.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1))))] [_inst_4 : MeasurableSpace.{u2} E] [_inst_5 : BorelSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) _inst_4] {f : α -> NNReal}, (Measurable.{u1, 0} α NNReal m NNReal.measurableSpace f) -> (forall {g : α -> E}, Iff (AEMeasurable.{u1, u2} α E _inst_4 m g (MeasureTheory.Measure.withDensity.{u1} α m μ (fun (x : α) => ENNReal.some (f x)))) (AEMeasurable.{u1, u2} α E _inst_4 m (fun (x : α) => HSMul.hSMul.{0, u2, u2} Real E E (instHSMul.{0, u2} Real E (SMulZeroClass.toSMul.{0, u2} Real E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real E Real.instZeroReal (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)))))) (Module.toMulActionWithZero.{0, u2} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (NormedSpace.toModule.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) _inst_2)))))) (NNReal.toReal (f x)) (g x)) μ))
+<too large>
 Case conversion may be inaccurate. Consider using '#align ae_measurable_with_density_iff aemeasurable_withDensity_iffₓ'. -/
 theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [TopologicalSpace.SecondCountableTopology E] [MeasurableSpace E] [BorelSpace E] {f : α → ℝ≥0}

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

@@ -4,14 +4,17 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module measure_theory.integral.lebesgue_normed_space
-! leanprover-community/mathlib commit bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf
+! leanprover-community/mathlib commit 38df578a6450a8c5142b3727e3ae894c2300cae0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.MeasureTheory.Integral.Lebesgue
 import Mathbin.Analysis.NormedSpace.Basic
 
-/-! # A lemma about measurability with density under scalar multiplication in normed spaces -/
+/-! # A lemma about measurability with density under scalar multiplication in normed spaces 
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.-/
 
 
 open MeasureTheory Filter ENNReal Set

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

@@ -20,7 +20,13 @@ open NNReal ENNReal
 
 variable {α β γ δ : Type _} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
 
-theorem aEMeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
+/- warning: ae_measurable_with_density_iff -> aemeasurable_withDensity_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {m : MeasurableSpace.{u1} α} {μ : MeasureTheory.Measure.{u1} α m} {E : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.SecondCountableTopology.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1))))] [_inst_4 : MeasurableSpace.{u2} E] [_inst_5 : BorelSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) _inst_4] {f : α -> NNReal}, (Measurable.{u1, 0} α NNReal m NNReal.measurableSpace f) -> (forall {g : α -> E}, Iff (AEMeasurable.{u1, u2} α E _inst_4 m g (MeasureTheory.Measure.withDensity.{u1} α m μ (fun (x : α) => (fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal ENNReal (HasLiftT.mk.{1, 1} NNReal ENNReal (CoeTCₓ.coe.{1, 1} NNReal ENNReal (coeBase.{1, 1} NNReal ENNReal ENNReal.hasCoe))) (f x)))) (AEMeasurable.{u1, u2} α E _inst_4 m (fun (x : α) => SMul.smul.{0, u2} Real E (SMulZeroClass.toHasSmul.{0, u2} Real E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real E (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real E (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))))) (Module.toMulActionWithZero.{0, u2} Real E (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1))) (NormedSpace.toModule.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) _inst_2))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) (f x)) (g x)) μ))
+but is expected to have type
+  forall {α : Type.{u1}} {m : MeasurableSpace.{u1} α} {μ : MeasureTheory.Measure.{u1} α m} {E : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : TopologicalSpace.SecondCountableTopology.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1))))] [_inst_4 : MeasurableSpace.{u2} E] [_inst_5 : BorelSpace.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) _inst_4] {f : α -> NNReal}, (Measurable.{u1, 0} α NNReal m NNReal.measurableSpace f) -> (forall {g : α -> E}, Iff (AEMeasurable.{u1, u2} α E _inst_4 m g (MeasureTheory.Measure.withDensity.{u1} α m μ (fun (x : α) => ENNReal.some (f x)))) (AEMeasurable.{u1, u2} α E _inst_4 m (fun (x : α) => HSMul.hSMul.{0, u2, u2} Real E E (instHSMul.{0, u2} Real E (SMulZeroClass.toSMul.{0, u2} Real E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real E Real.instZeroReal (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)))))) (Module.toMulActionWithZero.{0, u2} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (NormedSpace.toModule.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) _inst_2)))))) (NNReal.toReal (f x)) (g x)) μ))
+Case conversion may be inaccurate. Consider using '#align ae_measurable_with_density_iff aemeasurable_withDensity_iffₓ'. -/
+theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [TopologicalSpace.SecondCountableTopology E] [MeasurableSpace E] [BorelSpace E] {f : α → ℝ≥0}
     (hf : Measurable f) {g : α → E} :
     AEMeasurable g (μ.withDensity fun x => (f x : ℝ≥0∞)) ↔
@@ -49,5 +55,5 @@ theorem aEMeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [Normed
     rw [← hx, smul_smul, _root_.inv_mul_cancel, one_smul]
     simp only [Ne.def, coe_eq_zero] at h'x
     simpa only [NNReal.coe_eq_zero, Ne.def] using h'x
-#align ae_measurable_with_density_iff aEMeasurable_withDensity_iff
+#align ae_measurable_with_density_iff aemeasurable_withDensity_iff
 

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

@@ -31,7 +31,7 @@ theorem aemeasurable_withDensity_iff {E : Type*} [NormedAddCommGroup E] [NormedS
       rw [ae_restrict_iff' A]
       filter_upwards [hg']
       intro a ha h'a
-      have : (f a : ℝ≥0∞) ≠ 0 := by simpa only [Ne.def, ENNReal.coe_eq_zero] using h'a
+      have : (f a : ℝ≥0∞) ≠ 0 := by simpa only [Ne, ENNReal.coe_eq_zero] using h'a
       rw [ha this]
     · filter_upwards [ae_restrict_mem A.compl]
       intro x hx
@@ -43,6 +43,6 @@ theorem aemeasurable_withDensity_iff {E : Type*} [NormedAddCommGroup E] [NormedS
     filter_upwards [hg']
     intro x hx h'x
     rw [← hx, smul_smul, _root_.inv_mul_cancel, one_smul]
-    simp only [Ne.def, ENNReal.coe_eq_zero] at h'x
-    simpa only [NNReal.coe_eq_zero, Ne.def] using h'x
+    simp only [Ne, ENNReal.coe_eq_zero] at h'x
+    simpa only [NNReal.coe_eq_zero, Ne] using h'x
 #align ae_measurable_with_density_iff aemeasurable_withDensity_iff

Add a few missing lemmas about the coercion NNReal → Real. Remove a bunch of protected on the existing coercion lemmas (so that it matches the convention for other coercions). Rename NNReal.coe_eq to NNReal.coe_inj

From LeanAPAP

@@ -31,7 +31,7 @@ theorem aemeasurable_withDensity_iff {E : Type*} [NormedAddCommGroup E] [NormedS
       rw [ae_restrict_iff' A]
       filter_upwards [hg']
       intro a ha h'a
-      have : (f a : ℝ≥0∞) ≠ 0 := by simpa only [Ne.def, coe_eq_zero] using h'a
+      have : (f a : ℝ≥0∞) ≠ 0 := by simpa only [Ne.def, ENNReal.coe_eq_zero] using h'a
       rw [ha this]
     · filter_upwards [ae_restrict_mem A.compl]
       intro x hx
@@ -43,6 +43,6 @@ theorem aemeasurable_withDensity_iff {E : Type*} [NormedAddCommGroup E] [NormedS
     filter_upwards [hg']
     intro x hx h'x
     rw [← hx, smul_smul, _root_.inv_mul_cancel, one_smul]
-    simp only [Ne.def, coe_eq_zero] at h'x
+    simp only [Ne.def, ENNReal.coe_eq_zero] at h'x
     simpa only [NNReal.coe_eq_zero, Ne.def] using h'x
 #align ae_measurable_with_density_iff aemeasurable_withDensity_iff

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

@@ -18,7 +18,7 @@ open NNReal ENNReal
 variable {α β γ δ : Type*} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
 
 theorem aemeasurable_withDensity_iff {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E]
-    [TopologicalSpace.SecondCountableTopology E] [MeasurableSpace E] [BorelSpace E] {f : α → ℝ≥0}
+    [SecondCountableTopology E] [MeasurableSpace E] [BorelSpace E] {f : α → ℝ≥0}
     (hf : Measurable f) {g : α → E} :
     AEMeasurable g (μ.withDensity fun x => (f x : ℝ≥0∞)) ↔
       AEMeasurable (fun x => (f x : ℝ) • g x) μ := by

It was in Integral.Lebesgue, which is about the definition of the Lebesgue integral.

@@ -3,7 +3,7 @@ Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathlib.MeasureTheory.Integral.Lebesgue
+import Mathlib.MeasureTheory.Measure.WithDensity
 import Mathlib.Analysis.NormedSpace.Basic
 
 #align_import measure_theory.integral.lebesgue_normed_space from "leanprover-community/mathlib"@"bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf"

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

This has nice performance benefits.

@@ -15,9 +15,9 @@ open MeasureTheory Filter ENNReal Set
 
 open NNReal ENNReal
 
-variable {α β γ δ : Type _} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
+variable {α β γ δ : Type*} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
 
-theorem aemeasurable_withDensity_iff {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
+theorem aemeasurable_withDensity_iff {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [TopologicalSpace.SecondCountableTopology E] [MeasurableSpace E] [BorelSpace E] {f : α → ℝ≥0}
     (hf : Measurable f) {g : α → E} :
     AEMeasurable g (μ.withDensity fun x => (f x : ℝ≥0∞)) ↔

• 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) 2022 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module measure_theory.integral.lebesgue_normed_space
-! leanprover-community/mathlib commit bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.MeasureTheory.Integral.Lebesgue
 import Mathlib.Analysis.NormedSpace.Basic
 
+#align_import measure_theory.integral.lebesgue_normed_space from "leanprover-community/mathlib"@"bf6a01357ff5684b1ebcd0f1a13be314fc82c0bf"
+
 /-! # A lemma about measurability with density under scalar multiplication in normed spaces -/