measure_theory.function.special_functions.basic ⟷ Mathlib.MeasureTheory.Function.SpecialFunctions.Basic

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

@@ -3,7 +3,7 @@ Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Analysis.SpecialFunctions.Pow.Nnreal
+import Analysis.SpecialFunctions.Pow.NNReal
 import MeasureTheory.Constructions.BorelSpace.Complex
 
 #align_import measure_theory.function.special_functions.basic from "leanprover-community/mathlib"@"4280f5f32e16755ec7985ce11e189b6cd6ff6735"

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

@@ -3,8 +3,8 @@ Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.Analysis.SpecialFunctions.Pow.Nnreal
-import Mathbin.MeasureTheory.Constructions.BorelSpace.Complex
+import Analysis.SpecialFunctions.Pow.Nnreal
+import MeasureTheory.Constructions.BorelSpace.Complex
 
 #align_import measure_theory.function.special_functions.basic from "leanprover-community/mathlib"@"4280f5f32e16755ec7985ce11e189b6cd6ff6735"
 

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

@@ -2,15 +2,12 @@
 Copyright (c) 2020 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.function.special_functions.basic
-! leanprover-community/mathlib commit 4280f5f32e16755ec7985ce11e189b6cd6ff6735
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.SpecialFunctions.Pow.Nnreal
 import Mathbin.MeasureTheory.Constructions.BorelSpace.Complex
 
+#align_import measure_theory.function.special_functions.basic from "leanprover-community/mathlib"@"4280f5f32e16755ec7985ce11e189b6cd6ff6735"
+
 /-!
 # Measurability of real and complex functions
 

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

@@ -106,10 +106,12 @@ theorem measurable_im : Measurable im :=
 #align complex.measurable_im Complex.measurable_im
 -/
 
+#print Complex.measurable_ofReal /-
 @[measurability]
 theorem measurable_ofReal : Measurable (coe : ℝ → ℂ) :=
   continuous_ofReal.Measurable
 #align complex.measurable_of_real Complex.measurable_ofReal
+-/
 
 #print Complex.measurable_exp /-
 @[measurability]

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

@@ -107,9 +107,9 @@ theorem measurable_im : Measurable im :=
 -/
 
 @[measurability]
-theorem measurable_of_real : Measurable (coe : ℝ → ℂ) :=
+theorem measurable_ofReal : Measurable (coe : ℝ → ℂ) :=
   continuous_ofReal.Measurable
-#align complex.measurable_of_real Complex.measurable_of_real
+#align complex.measurable_of_real Complex.measurable_ofReal
 
 #print Complex.measurable_exp /-
 @[measurability]
@@ -162,8 +162,8 @@ theorem measurable_arg : Measurable arg :=
 #print Complex.measurable_log /-
 @[measurability]
 theorem measurable_log : Measurable log :=
-  (measurable_of_real.comp <| Real.measurable_log.comp measurable_norm).add <|
-    (measurable_of_real.comp measurable_arg).mul_const I
+  (measurable_ofReal.comp <| Real.measurable_log.comp measurable_norm).add <|
+    (measurable_ofReal.comp measurable_arg).mul_const I
 #align complex.measurable_log Complex.measurable_log
 -/
 
@@ -296,8 +296,8 @@ instance Complex.hasMeasurablePow : MeasurablePow ℂ ℂ :=
 #print Real.hasMeasurablePow /-
 instance Real.hasMeasurablePow : MeasurablePow ℝ ℝ :=
   ⟨Complex.measurable_re.comp <|
-      (Complex.measurable_of_real.comp measurable_fst).pow
-        (Complex.measurable_of_real.comp measurable_snd)⟩
+      (Complex.measurable_ofReal.comp measurable_fst).pow
+        (Complex.measurable_ofReal.comp measurable_snd)⟩
 #align real.has_measurable_pow Real.hasMeasurablePow
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3209ddf94136d36e5e5c624b10b2a347cc9d090

@@ -327,7 +327,7 @@ end PowInstances
 -- Guard against import creep:
 assert_not_exists InnerProductSpace
 
-assert_not_exists real.arctan
+assert_not_exists Real.arctan
 
 assert_not_exists FiniteDimensional.proper
 

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

@@ -27,7 +27,7 @@ See also `measure_theory.function.special_functions.arctan` and
 
 noncomputable section
 
-open NNReal ENNReal
+open scoped NNReal ENNReal
 
 namespace Real
 

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

@@ -106,12 +106,6 @@ theorem measurable_im : Measurable im :=
 #align complex.measurable_im Complex.measurable_im
 -/
 
-/- warning: complex.measurable_of_real -> Complex.measurable_of_real is a dubious translation:
-lean 3 declaration is
-  Measurable.{0, 0} Real Complex Real.measurableSpace Complex.measurableSpace ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Real Complex (HasLiftT.mk.{1, 1} Real Complex (CoeTCₓ.coe.{1, 1} Real Complex (coeBase.{1, 1} Real Complex Complex.hasCoe))))
-but is expected to have type
-  Measurable.{0, 0} Real Complex Real.measurableSpace Complex.measurableSpace Complex.ofReal'
-Case conversion may be inaccurate. Consider using '#align complex.measurable_of_real Complex.measurable_of_realₓ'. -/
 @[measurability]
 theorem measurable_of_real : Measurable (coe : ℝ → ℂ) :=
   continuous_ofReal.Measurable

mathlib commit https://github.com/leanprover-community/mathlib/commit/ef95945cd48c932c9e034872bd25c3c220d9c946

@@ -331,7 +331,7 @@ instance ENNReal.hasMeasurablePow : MeasurablePow ℝ≥0∞ ℝ :=
 end PowInstances
 
 -- Guard against import creep:
-assert_not_exists inner_product_space
+assert_not_exists InnerProductSpace
 
 assert_not_exists real.arctan
 

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

@@ -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.function.special_functions.basic
-! leanprover-community/mathlib commit 83a66c8775fa14ee5180c85cab98e970956401ad
+! leanprover-community/mathlib commit 4280f5f32e16755ec7985ce11e189b6cd6ff6735
 ! 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.Constructions.BorelSpace.Complex
 /-!
 # Measurability of real and complex functions
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We show that most standard real and complex functions are measurable, notably `exp`, `cos`, `sin`,
 `cosh`, `sinh`, `log`, `pow`, `arcsin`, `arccos`.
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952

@@ -28,91 +28,128 @@ open NNReal ENNReal
 
 namespace Real
 
+#print Real.measurable_exp /-
 @[measurability]
 theorem measurable_exp : Measurable exp :=
   continuous_exp.Measurable
 #align real.measurable_exp Real.measurable_exp
+-/
 
+#print Real.measurable_log /-
 @[measurability]
 theorem measurable_log : Measurable log :=
   measurable_of_measurable_on_compl_singleton 0 <|
     Continuous.measurable <| continuousOn_iff_continuous_restrict.1 continuousOn_log
 #align real.measurable_log Real.measurable_log
+-/
 
+#print Real.measurable_sin /-
 @[measurability]
 theorem measurable_sin : Measurable sin :=
   continuous_sin.Measurable
 #align real.measurable_sin Real.measurable_sin
+-/
 
+#print Real.measurable_cos /-
 @[measurability]
 theorem measurable_cos : Measurable cos :=
   continuous_cos.Measurable
 #align real.measurable_cos Real.measurable_cos
+-/
 
+#print Real.measurable_sinh /-
 @[measurability]
 theorem measurable_sinh : Measurable sinh :=
   continuous_sinh.Measurable
 #align real.measurable_sinh Real.measurable_sinh
+-/
 
+#print Real.measurable_cosh /-
 @[measurability]
 theorem measurable_cosh : Measurable cosh :=
   continuous_cosh.Measurable
 #align real.measurable_cosh Real.measurable_cosh
+-/
 
+#print Real.measurable_arcsin /-
 @[measurability]
 theorem measurable_arcsin : Measurable arcsin :=
   continuous_arcsin.Measurable
 #align real.measurable_arcsin Real.measurable_arcsin
+-/
 
+#print Real.measurable_arccos /-
 @[measurability]
 theorem measurable_arccos : Measurable arccos :=
   continuous_arccos.Measurable
 #align real.measurable_arccos Real.measurable_arccos
+-/
 
 end Real
 
 namespace Complex
 
+#print Complex.measurable_re /-
 @[measurability]
 theorem measurable_re : Measurable re :=
   continuous_re.Measurable
 #align complex.measurable_re Complex.measurable_re
+-/
 
+#print Complex.measurable_im /-
 @[measurability]
 theorem measurable_im : Measurable im :=
   continuous_im.Measurable
 #align complex.measurable_im Complex.measurable_im
+-/
 
+/- warning: complex.measurable_of_real -> Complex.measurable_of_real is a dubious translation:
+lean 3 declaration is
+  Measurable.{0, 0} Real Complex Real.measurableSpace Complex.measurableSpace ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Real Complex (HasLiftT.mk.{1, 1} Real Complex (CoeTCₓ.coe.{1, 1} Real Complex (coeBase.{1, 1} Real Complex Complex.hasCoe))))
+but is expected to have type
+  Measurable.{0, 0} Real Complex Real.measurableSpace Complex.measurableSpace Complex.ofReal'
+Case conversion may be inaccurate. Consider using '#align complex.measurable_of_real Complex.measurable_of_realₓ'. -/
 @[measurability]
 theorem measurable_of_real : Measurable (coe : ℝ → ℂ) :=
   continuous_ofReal.Measurable
 #align complex.measurable_of_real Complex.measurable_of_real
 
+#print Complex.measurable_exp /-
 @[measurability]
 theorem measurable_exp : Measurable exp :=
   continuous_exp.Measurable
 #align complex.measurable_exp Complex.measurable_exp
+-/
 
+#print Complex.measurable_sin /-
 @[measurability]
 theorem measurable_sin : Measurable sin :=
   continuous_sin.Measurable
 #align complex.measurable_sin Complex.measurable_sin
+-/
 
+#print Complex.measurable_cos /-
 @[measurability]
 theorem measurable_cos : Measurable cos :=
   continuous_cos.Measurable
 #align complex.measurable_cos Complex.measurable_cos
+-/
 
+#print Complex.measurable_sinh /-
 @[measurability]
 theorem measurable_sinh : Measurable sinh :=
   continuous_sinh.Measurable
 #align complex.measurable_sinh Complex.measurable_sinh
+-/
 
+#print Complex.measurable_cosh /-
 @[measurability]
 theorem measurable_cosh : Measurable cosh :=
   continuous_cosh.Measurable
 #align complex.measurable_cosh Complex.measurable_cosh
+-/
 
+#print Complex.measurable_arg /-
 @[measurability]
 theorem measurable_arg : Measurable arg :=
   have A : Measurable fun x : ℂ => Real.arcsin (x.im / x.abs) :=
@@ -123,12 +160,15 @@ theorem measurable_arg : Measurable arg :=
     Measurable.ite (isClosed_le continuous_const continuous_im).MeasurableSet (B.AddConst _)
       (B.sub_const _)
 #align complex.measurable_arg Complex.measurable_arg
+-/
 
+#print Complex.measurable_log /-
 @[measurability]
 theorem measurable_log : Measurable log :=
   (measurable_of_real.comp <| Real.measurable_log.comp measurable_norm).add <|
     (measurable_of_real.comp measurable_arg).mul_const I
 #align complex.measurable_log Complex.measurable_log
+-/
 
 end Complex
 
@@ -138,40 +178,54 @@ open Real
 
 variable {α : Type _} {m : MeasurableSpace α} {f : α → ℝ} (hf : Measurable f)
 
+#print Measurable.exp /-
 @[measurability]
 theorem Measurable.exp : Measurable fun x => Real.exp (f x) :=
   Real.measurable_exp.comp hf
 #align measurable.exp Measurable.exp
+-/
 
+#print Measurable.log /-
 @[measurability]
 theorem Measurable.log : Measurable fun x => log (f x) :=
   measurable_log.comp hf
 #align measurable.log Measurable.log
+-/
 
+#print Measurable.cos /-
 @[measurability]
 theorem Measurable.cos : Measurable fun x => Real.cos (f x) :=
   Real.measurable_cos.comp hf
 #align measurable.cos Measurable.cos
+-/
 
+#print Measurable.sin /-
 @[measurability]
 theorem Measurable.sin : Measurable fun x => Real.sin (f x) :=
   Real.measurable_sin.comp hf
 #align measurable.sin Measurable.sin
+-/
 
+#print Measurable.cosh /-
 @[measurability]
 theorem Measurable.cosh : Measurable fun x => Real.cosh (f x) :=
   Real.measurable_cosh.comp hf
 #align measurable.cosh Measurable.cosh
+-/
 
+#print Measurable.sinh /-
 @[measurability]
 theorem Measurable.sinh : Measurable fun x => Real.sinh (f x) :=
   Real.measurable_sinh.comp hf
 #align measurable.sinh Measurable.sinh
+-/
 
+#print Measurable.sqrt /-
 @[measurability]
 theorem Measurable.sqrt : Measurable fun x => sqrt (f x) :=
   continuous_sqrt.Measurable.comp hf
 #align measurable.sqrt Measurable.sqrt
+-/
 
 end RealComposition
 
@@ -181,61 +235,82 @@ open Complex
 
 variable {α : Type _} {m : MeasurableSpace α} {f : α → ℂ} (hf : Measurable f)
 
+#print Measurable.cexp /-
 @[measurability]
 theorem Measurable.cexp : Measurable fun x => Complex.exp (f x) :=
   Complex.measurable_exp.comp hf
 #align measurable.cexp Measurable.cexp
+-/
 
+#print Measurable.ccos /-
 @[measurability]
 theorem Measurable.ccos : Measurable fun x => Complex.cos (f x) :=
   Complex.measurable_cos.comp hf
 #align measurable.ccos Measurable.ccos
+-/
 
+#print Measurable.csin /-
 @[measurability]
 theorem Measurable.csin : Measurable fun x => Complex.sin (f x) :=
   Complex.measurable_sin.comp hf
 #align measurable.csin Measurable.csin
+-/
 
+#print Measurable.ccosh /-
 @[measurability]
 theorem Measurable.ccosh : Measurable fun x => Complex.cosh (f x) :=
   Complex.measurable_cosh.comp hf
 #align measurable.ccosh Measurable.ccosh
+-/
 
+#print Measurable.csinh /-
 @[measurability]
 theorem Measurable.csinh : Measurable fun x => Complex.sinh (f x) :=
   Complex.measurable_sinh.comp hf
 #align measurable.csinh Measurable.csinh
+-/
 
+#print Measurable.carg /-
 @[measurability]
 theorem Measurable.carg : Measurable fun x => arg (f x) :=
   measurable_arg.comp hf
 #align measurable.carg Measurable.carg
+-/
 
+#print Measurable.clog /-
 @[measurability]
 theorem Measurable.clog : Measurable fun x => log (f x) :=
   measurable_log.comp hf
 #align measurable.clog Measurable.clog
+-/
 
 end ComplexComposition
 
 section PowInstances
 
+#print Complex.hasMeasurablePow /-
 instance Complex.hasMeasurablePow : MeasurablePow ℂ ℂ :=
   ⟨Measurable.ite (measurable_fst (measurableSet_singleton 0))
       (Measurable.ite (measurable_snd (measurableSet_singleton 0)) measurable_one measurable_zero)
       (measurable_fst.clog.mul measurable_snd).cexp⟩
 #align complex.has_measurable_pow Complex.hasMeasurablePow
+-/
 
+#print Real.hasMeasurablePow /-
 instance Real.hasMeasurablePow : MeasurablePow ℝ ℝ :=
   ⟨Complex.measurable_re.comp <|
       (Complex.measurable_of_real.comp measurable_fst).pow
         (Complex.measurable_of_real.comp measurable_snd)⟩
 #align real.has_measurable_pow Real.hasMeasurablePow
+-/
 
+#print NNReal.hasMeasurablePow /-
 instance NNReal.hasMeasurablePow : MeasurablePow ℝ≥0 ℝ :=
   ⟨(measurable_fst.coeNNRealReal.pow measurable_snd).subtype_mk⟩
 #align nnreal.has_measurable_pow NNReal.hasMeasurablePow
+-/
 
+#print ENNReal.hasMeasurablePow /-
 instance ENNReal.hasMeasurablePow : MeasurablePow ℝ≥0∞ ℝ :=
   by
   refine' ⟨ENNReal.measurable_of_measurable_nnreal_prod _ _⟩
@@ -248,6 +323,7 @@ instance ENNReal.hasMeasurablePow : MeasurablePow ℝ≥0∞ ℝ :=
     refine' Measurable.ite measurableSet_Ioi measurable_const _
     exact Measurable.ite (measurable_set_singleton 0) measurable_const measurable_const
 #align ennreal.has_measurable_pow ENNReal.hasMeasurablePow
+-/
 
 end PowInstances
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952

@@ -238,9 +238,9 @@ instance NNReal.hasMeasurablePow : MeasurablePow ℝ≥0 ℝ :=
 
 instance ENNReal.hasMeasurablePow : MeasurablePow ℝ≥0∞ ℝ :=
   by
-  refine' ⟨ENNReal.measurable_of_measurable_nNReal_prod _ _⟩
+  refine' ⟨ENNReal.measurable_of_measurable_nnreal_prod _ _⟩
   · simp_rw [ENNReal.coe_rpow_def]
-    refine' Measurable.ite _ measurable_const (measurable_fst.pow measurable_snd).coe_nNReal_eNNReal
+    refine' Measurable.ite _ measurable_const (measurable_fst.pow measurable_snd).coe_nnreal_ennreal
     exact
       MeasurableSet.inter (measurable_fst (measurable_set_singleton 0))
         (measurable_snd measurableSet_Iio)

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

@@ -4,12 +4,11 @@ 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.function.special_functions.basic
-! leanprover-community/mathlib commit 0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8
+! leanprover-community/mathlib commit 83a66c8775fa14ee5180c85cab98e970956401ad
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.SpecialFunctions.Pow.Nnreal
-import Mathbin.Data.IsROrC.Lemmas
 import Mathbin.MeasureTheory.Constructions.BorelSpace.Complex
 
 /-!
@@ -133,22 +132,6 @@ theorem measurable_log : Measurable log :=
 
 end Complex
 
-namespace IsROrC
-
-variable {𝕜 : Type _} [IsROrC 𝕜]
-
-@[measurability]
-theorem measurable_re : Measurable (re : 𝕜 → ℝ) :=
-  continuous_re.Measurable
-#align is_R_or_C.measurable_re IsROrC.measurable_re
-
-@[measurability]
-theorem measurable_im : Measurable (im : 𝕜 → ℝ) :=
-  continuous_im.Measurable
-#align is_R_or_C.measurable_im IsROrC.measurable_im
-
-end IsROrC
-
 section RealComposition
 
 open Real
@@ -235,67 +218,6 @@ theorem Measurable.clog : Measurable fun x => log (f x) :=
 
 end ComplexComposition
 
-section IsROrCComposition
-
-variable {α 𝕜 : Type _} [IsROrC 𝕜] {m : MeasurableSpace α} {f : α → 𝕜} {μ : MeasureTheory.Measure α}
-
-include m
-
-@[measurability]
-theorem Measurable.re (hf : Measurable f) : Measurable fun x => IsROrC.re (f x) :=
-  IsROrC.measurable_re.comp hf
-#align measurable.re Measurable.re
-
-@[measurability]
-theorem AEMeasurable.re (hf : AEMeasurable f μ) : AEMeasurable (fun x => IsROrC.re (f x)) μ :=
-  IsROrC.measurable_re.comp_aemeasurable hf
-#align ae_measurable.re AEMeasurable.re
-
-@[measurability]
-theorem Measurable.im (hf : Measurable f) : Measurable fun x => IsROrC.im (f x) :=
-  IsROrC.measurable_im.comp hf
-#align measurable.im Measurable.im
-
-@[measurability]
-theorem AEMeasurable.im (hf : AEMeasurable f μ) : AEMeasurable (fun x => IsROrC.im (f x)) μ :=
-  IsROrC.measurable_im.comp_aemeasurable hf
-#align ae_measurable.im AEMeasurable.im
-
-omit m
-
-end IsROrCComposition
-
-section
-
-variable {α 𝕜 : Type _} [IsROrC 𝕜] [MeasurableSpace α] {f : α → 𝕜} {μ : MeasureTheory.Measure α}
-
-@[measurability]
-theorem IsROrC.measurable_of_real : Measurable (coe : ℝ → 𝕜) :=
-  IsROrC.continuous_ofReal.Measurable
-#align is_R_or_C.measurable_of_real IsROrC.measurable_of_real
-
-theorem measurable_of_re_im (hre : Measurable fun x => IsROrC.re (f x))
-    (him : Measurable fun x => IsROrC.im (f x)) : Measurable f :=
-  by
-  convert(is_R_or_C.measurable_of_real.comp hre).add
-      ((is_R_or_C.measurable_of_real.comp him).mul_const IsROrC.i)
-  · ext1 x
-    exact (IsROrC.re_add_im _).symm
-  all_goals infer_instance
-#align measurable_of_re_im measurable_of_re_im
-
-theorem aEMeasurable_of_re_im (hre : AEMeasurable (fun x => IsROrC.re (f x)) μ)
-    (him : AEMeasurable (fun x => IsROrC.im (f x)) μ) : AEMeasurable f μ :=
-  by
-  convert(is_R_or_C.measurable_of_real.comp_ae_measurable hre).add
-      ((is_R_or_C.measurable_of_real.comp_ae_measurable him).mul_const IsROrC.i)
-  · ext1 x
-    exact (IsROrC.re_add_im _).symm
-  all_goals infer_instance
-#align ae_measurable_of_re_im aEMeasurable_of_re_im
-
-end
-
 section PowInstances
 
 instance Complex.hasMeasurablePow : MeasurablePow ℂ ℂ :=
@@ -334,3 +256,5 @@ assert_not_exists inner_product_space
 
 assert_not_exists real.arctan
 
+assert_not_exists FiniteDimensional.proper
+

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

@@ -4,13 +4,13 @@ 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.function.special_functions.basic
-! leanprover-community/mathlib commit 468b141b14016d54b479eb7a0fff1e360b7e3cf6
+! leanprover-community/mathlib commit 0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
-import Mathbin.Analysis.SpecialFunctions.Pow
+import Mathbin.Analysis.SpecialFunctions.Pow.Nnreal
 import Mathbin.Data.IsROrC.Lemmas
-import Mathbin.MeasureTheory.Constructions.BorelSpace
+import Mathbin.MeasureTheory.Constructions.BorelSpace.Complex
 
 /-!
 # Measurability of real and complex functions

mathlib commit https://github.com/leanprover-community/mathlib/commit/7ad820c4997738e2f542f8a20f32911f52020e26

@@ -86,7 +86,7 @@ theorem measurable_im : Measurable im :=
 
 @[measurability]
 theorem measurable_of_real : Measurable (coe : ℝ → ℂ) :=
-  continuous_of_real.Measurable
+  continuous_ofReal.Measurable
 #align complex.measurable_of_real Complex.measurable_of_real
 
 @[measurability]

mathlib commit https://github.com/leanprover-community/mathlib/commit/2f8347015b12b0864dfaf366ec4909eb70c78740

@@ -271,7 +271,7 @@ variable {α 𝕜 : Type _} [IsROrC 𝕜] [MeasurableSpace α] {f : α → 𝕜}
 
 @[measurability]
 theorem IsROrC.measurable_of_real : Measurable (coe : ℝ → 𝕜) :=
-  IsROrC.continuous_of_real.Measurable
+  IsROrC.continuous_ofReal.Measurable
 #align is_R_or_C.measurable_of_real IsROrC.measurable_of_real
 
 theorem measurable_of_re_im (hre : Measurable fun x => IsROrC.re (f x))

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

@@ -298,23 +298,23 @@ end
 
 section PowInstances
 
-instance Complex.hasMeasurablePow : HasMeasurablePow ℂ ℂ :=
+instance Complex.hasMeasurablePow : MeasurablePow ℂ ℂ :=
   ⟨Measurable.ite (measurable_fst (measurableSet_singleton 0))
       (Measurable.ite (measurable_snd (measurableSet_singleton 0)) measurable_one measurable_zero)
       (measurable_fst.clog.mul measurable_snd).cexp⟩
 #align complex.has_measurable_pow Complex.hasMeasurablePow
 
-instance Real.hasMeasurablePow : HasMeasurablePow ℝ ℝ :=
+instance Real.hasMeasurablePow : MeasurablePow ℝ ℝ :=
   ⟨Complex.measurable_re.comp <|
       (Complex.measurable_of_real.comp measurable_fst).pow
         (Complex.measurable_of_real.comp measurable_snd)⟩
 #align real.has_measurable_pow Real.hasMeasurablePow
 
-instance NNReal.hasMeasurablePow : HasMeasurablePow ℝ≥0 ℝ :=
+instance NNReal.hasMeasurablePow : MeasurablePow ℝ≥0 ℝ :=
   ⟨(measurable_fst.coeNNRealReal.pow measurable_snd).subtype_mk⟩
 #align nnreal.has_measurable_pow NNReal.hasMeasurablePow
 
-instance ENNReal.hasMeasurablePow : HasMeasurablePow ℝ≥0∞ ℝ :=
+instance ENNReal.hasMeasurablePow : MeasurablePow ℝ≥0∞ ℝ :=
   by
   refine' ⟨ENNReal.measurable_of_measurable_nNReal_prod _ _⟩
   · simp_rw [ENNReal.coe_rpow_def]

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

@@ -247,9 +247,9 @@ theorem Measurable.re (hf : Measurable f) : Measurable fun x => IsROrC.re (f x)
 #align measurable.re Measurable.re
 
 @[measurability]
-theorem AeMeasurable.re (hf : AeMeasurable f μ) : AeMeasurable (fun x => IsROrC.re (f x)) μ :=
-  IsROrC.measurable_re.compAeMeasurable hf
-#align ae_measurable.re AeMeasurable.re
+theorem AEMeasurable.re (hf : AEMeasurable f μ) : AEMeasurable (fun x => IsROrC.re (f x)) μ :=
+  IsROrC.measurable_re.comp_aemeasurable hf
+#align ae_measurable.re AEMeasurable.re
 
 @[measurability]
 theorem Measurable.im (hf : Measurable f) : Measurable fun x => IsROrC.im (f x) :=
@@ -257,9 +257,9 @@ theorem Measurable.im (hf : Measurable f) : Measurable fun x => IsROrC.im (f x)
 #align measurable.im Measurable.im
 
 @[measurability]
-theorem AeMeasurable.im (hf : AeMeasurable f μ) : AeMeasurable (fun x => IsROrC.im (f x)) μ :=
-  IsROrC.measurable_im.compAeMeasurable hf
-#align ae_measurable.im AeMeasurable.im
+theorem AEMeasurable.im (hf : AEMeasurable f μ) : AEMeasurable (fun x => IsROrC.im (f x)) μ :=
+  IsROrC.measurable_im.comp_aemeasurable hf
+#align ae_measurable.im AEMeasurable.im
 
 omit m
 
@@ -284,15 +284,15 @@ theorem measurable_of_re_im (hre : Measurable fun x => IsROrC.re (f x))
   all_goals infer_instance
 #align measurable_of_re_im measurable_of_re_im
 
-theorem aeMeasurableOfReIm (hre : AeMeasurable (fun x => IsROrC.re (f x)) μ)
-    (him : AeMeasurable (fun x => IsROrC.im (f x)) μ) : AeMeasurable f μ :=
+theorem aEMeasurable_of_re_im (hre : AEMeasurable (fun x => IsROrC.re (f x)) μ)
+    (him : AEMeasurable (fun x => IsROrC.im (f x)) μ) : AEMeasurable f μ :=
   by
   convert(is_R_or_C.measurable_of_real.comp_ae_measurable hre).add
       ((is_R_or_C.measurable_of_real.comp_ae_measurable him).mul_const IsROrC.i)
   · ext1 x
     exact (IsROrC.re_add_im _).symm
   all_goals infer_instance
-#align ae_measurable_of_re_im aeMeasurableOfReIm
+#align ae_measurable_of_re_im aEMeasurable_of_re_im
 
 end
 

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

@@ -277,8 +277,7 @@ theorem IsROrC.measurable_of_real : Measurable (coe : ℝ → 𝕜) :=
 theorem measurable_of_re_im (hre : Measurable fun x => IsROrC.re (f x))
     (him : Measurable fun x => IsROrC.im (f x)) : Measurable f :=
   by
-  convert
-    (is_R_or_C.measurable_of_real.comp hre).add
+  convert(is_R_or_C.measurable_of_real.comp hre).add
       ((is_R_or_C.measurable_of_real.comp him).mul_const IsROrC.i)
   · ext1 x
     exact (IsROrC.re_add_im _).symm
@@ -288,8 +287,7 @@ theorem measurable_of_re_im (hre : Measurable fun x => IsROrC.re (f x))
 theorem aeMeasurableOfReIm (hre : AeMeasurable (fun x => IsROrC.re (f x)) μ)
     (him : AeMeasurable (fun x => IsROrC.im (f x)) μ) : AeMeasurable f μ :=
   by
-  convert
-    (is_R_or_C.measurable_of_real.comp_ae_measurable hre).add
+  convert(is_R_or_C.measurable_of_real.comp_ae_measurable hre).add
       ((is_R_or_C.measurable_of_real.comp_ae_measurable him).mul_const IsROrC.i)
   · ext1 x
     exact (IsROrC.re_add_im _).symm

mathlib commit https://github.com/leanprover-community/mathlib/commit/ddec54a71a0dd025c05445d467f1a2b7d586a3ba

@@ -128,7 +128,7 @@ theorem measurable_arg : Measurable arg :=
 @[measurability]
 theorem measurable_log : Measurable log :=
   (measurable_of_real.comp <| Real.measurable_log.comp measurable_norm).add <|
-    (measurable_of_real.comp measurable_arg).mul_const i
+    (measurable_of_real.comp measurable_arg).mul_const I
 #align complex.measurable_log Complex.measurable_log
 
 end Complex

mathlib commit https://github.com/leanprover-community/mathlib/commit/3b267e70a936eebb21ab546f49a8df34dd300b25

@@ -313,7 +313,7 @@ instance Real.hasMeasurablePow : HasMeasurablePow ℝ ℝ :=
 #align real.has_measurable_pow Real.hasMeasurablePow
 
 instance NNReal.hasMeasurablePow : HasMeasurablePow ℝ≥0 ℝ :=
-  ⟨(measurable_fst.coeNnrealReal.pow measurable_snd).subtype_mk⟩
+  ⟨(measurable_fst.coeNNRealReal.pow measurable_snd).subtype_mk⟩
 #align nnreal.has_measurable_pow NNReal.hasMeasurablePow
 
 instance ENNReal.hasMeasurablePow : HasMeasurablePow ℝ≥0∞ ℝ :=

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

@@ -25,7 +25,7 @@ See also `measure_theory.function.special_functions.arctan` and
 
 noncomputable section
 
-open NNReal Ennreal
+open NNReal ENNReal
 
 namespace Real
 
@@ -316,18 +316,18 @@ instance NNReal.hasMeasurablePow : HasMeasurablePow ℝ≥0 ℝ :=
   ⟨(measurable_fst.coeNnrealReal.pow measurable_snd).subtype_mk⟩
 #align nnreal.has_measurable_pow NNReal.hasMeasurablePow
 
-instance Ennreal.hasMeasurablePow : HasMeasurablePow ℝ≥0∞ ℝ :=
+instance ENNReal.hasMeasurablePow : HasMeasurablePow ℝ≥0∞ ℝ :=
   by
-  refine' ⟨Ennreal.measurable_of_measurable_nNReal_prod _ _⟩
-  · simp_rw [Ennreal.coe_rpow_def]
-    refine' Measurable.ite _ measurable_const (measurable_fst.pow measurable_snd).coe_nNReal_ennreal
+  refine' ⟨ENNReal.measurable_of_measurable_nNReal_prod _ _⟩
+  · simp_rw [ENNReal.coe_rpow_def]
+    refine' Measurable.ite _ measurable_const (measurable_fst.pow measurable_snd).coe_nNReal_eNNReal
     exact
       MeasurableSet.inter (measurable_fst (measurable_set_singleton 0))
         (measurable_snd measurableSet_Iio)
-  · simp_rw [Ennreal.top_rpow_def]
+  · simp_rw [ENNReal.top_rpow_def]
     refine' Measurable.ite measurableSet_Ioi measurable_const _
     exact Measurable.ite (measurable_set_singleton 0) measurable_const measurable_const
-#align ennreal.has_measurable_pow Ennreal.hasMeasurablePow
+#align ennreal.has_measurable_pow ENNReal.hasMeasurablePow
 
 end PowInstances
 

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

This adds the notation √r for Real.sqrt r. The precedence is such that √x⁻¹ is parsed as √(x⁻¹); not because this is particularly desirable, but because it's the default and the choice doesn't really matter.

This is extracted from #7907, which adds a more general nth root typeclass. The idea is to perform all the boring substitutions downstream quickly, so that we can play around with custom elaborators with a much slower rate of code-rot. This PR also won't rot as quickly, as it does not forbid writing x.sqrt as that PR does.

While perhaps claiming √ for Real.sqrt is greedy; it:

• Is far more common thatn NNReal.sqrt and Nat.sqrt
• Is far more interesting to mathlib than sqrt on Float
• Can be overloaded anyway, so this does not prevent downstream code using the notation on their own types.
• Will be replaced by a more general typeclass in a future PR.

Zulip

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>

@@ -180,7 +180,7 @@ theorem Measurable.sinh : Measurable fun x => Real.sinh (f x) :=
 #align measurable.sinh Measurable.sinh
 
 @[measurability]
-theorem Measurable.sqrt : Measurable fun x => sqrt (f x) :=
+theorem Measurable.sqrt : Measurable fun x => √(f x) :=
   continuous_sqrt.measurable.comp hf
 #align measurable.sqrt Measurable.sqrt
 

Define exponentially tilted measures. The exponential tilting of a measure μ on α by a function f : α → ℝ is the measure with density x ↦ exp (f x) / ∫ y, exp (f y) ∂μ with respect to μ.

Co-authored-by: Rémy Degenne <remydegenne@gmail.com> Co-authored-by: RemyDegenne <remydegenne@gmail.com>

@@ -36,6 +36,20 @@ theorem measurable_log : Measurable log :=
     Continuous.measurable <| continuousOn_iff_continuous_restrict.1 continuousOn_log
 #align real.measurable_log Real.measurable_log
 
+lemma measurable_of_measurable_exp {α : Type*} {_ : MeasurableSpace α} {f : α → ℝ}
+    (hf : Measurable (fun x ↦ exp (f x))) :
+    Measurable f := by
+  have : f = fun x ↦ log (exp (f x)) := by ext; rw [log_exp]
+  rw [this]
+  exact measurable_log.comp hf
+
+lemma aemeasurable_of_aemeasurable_exp {α : Type*} {_ : MeasurableSpace α} {f : α → ℝ}
+    {μ : MeasureTheory.Measure α} (hf : AEMeasurable (fun x ↦ exp (f x)) μ) :
+    AEMeasurable f μ := by
+  have : f = fun x ↦ log (exp (f x)) := by ext; rw [log_exp]
+  rw [this]
+  exact measurable_log.comp_aemeasurable hf
+
 @[measurability]
 theorem measurable_sin : Measurable sin :=
   continuous_sin.measurable

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

This has nice performance benefits.

@@ -133,7 +133,7 @@ section RealComposition
 
 open Real
 
-variable {α : Type _} {m : MeasurableSpace α} {f : α → ℝ} (hf : Measurable f)
+variable {α : Type*} {m : MeasurableSpace α} {f : α → ℝ} (hf : Measurable f)
 
 @[measurability]
 theorem Measurable.exp : Measurable fun x => Real.exp (f x) :=
@@ -176,7 +176,7 @@ section ComplexComposition
 
 open Complex
 
-variable {α : Type _} {m : MeasurableSpace α} {f : α → ℂ} (hf : Measurable f)
+variable {α : Type*} {m : MeasurableSpace α} {f : α → ℂ} (hf : Measurable f)
 
 @[measurability]
 theorem Measurable.cexp : Measurable fun x => Complex.exp (f x) :=

• 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) 2020 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.function.special_functions.basic
-! leanprover-community/mathlib commit 83a66c8775fa14ee5180c85cab98e970956401ad
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.SpecialFunctions.Pow.NNReal
 import Mathlib.MeasureTheory.Constructions.BorelSpace.Complex
 
+#align_import measure_theory.function.special_functions.basic from "leanprover-community/mathlib"@"83a66c8775fa14ee5180c85cab98e970956401ad"
+
 /-!
 # Measurability of real and complex functions
 

@@ -84,9 +84,9 @@ theorem measurable_im : Measurable im :=
 #align complex.measurable_im Complex.measurable_im
 
 @[measurability]
-theorem measurable_of_real : Measurable ((↑) : ℝ → ℂ) :=
+theorem measurable_ofReal : Measurable ((↑) : ℝ → ℂ) :=
   continuous_ofReal.measurable
-#align complex.measurable_of_real Complex.measurable_of_real
+#align complex.measurable_of_real Complex.measurable_ofReal
 
 @[measurability]
 theorem measurable_exp : Measurable exp :=
@@ -126,8 +126,8 @@ theorem measurable_arg : Measurable arg :=
 
 @[measurability]
 theorem measurable_log : Measurable log :=
-  (measurable_of_real.comp <| Real.measurable_log.comp measurable_norm).add <|
-    (measurable_of_real.comp measurable_arg).mul_const I
+  (measurable_ofReal.comp <| Real.measurable_log.comp measurable_norm).add <|
+    (measurable_ofReal.comp measurable_arg).mul_const I
 #align complex.measurable_log Complex.measurable_log
 
 end Complex
@@ -228,8 +228,8 @@ instance Complex.hasMeasurablePow : MeasurablePow ℂ ℂ :=
 
 instance Real.hasMeasurablePow : MeasurablePow ℝ ℝ :=
   ⟨Complex.measurable_re.comp <|
-      (Complex.measurable_of_real.comp measurable_fst).pow
-        (Complex.measurable_of_real.comp measurable_snd)⟩
+      (Complex.measurable_ofReal.comp measurable_fst).pow
+        (Complex.measurable_ofReal.comp measurable_snd)⟩
 #align real.has_measurable_pow Real.hasMeasurablePow
 
 instance NNReal.hasMeasurablePow : MeasurablePow ℝ≥0 ℝ :=

@@ -251,6 +251,6 @@ instance ENNReal.hasMeasurablePow : MeasurablePow ℝ≥0∞ ℝ := by
 end PowInstances
 
 -- Guard against import creep:
--- assert_not_exists InnerProductSpace
--- assert_not_exists Real.arctan
--- assert_not_exists FiniteDimensional.proper
+assert_not_exists InnerProductSpace
+assert_not_exists Real.arctan
+assert_not_exists FiniteDimensional.proper