analysis.calculus.parametric_interval_integral

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

f2ce6086

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

7e5137f5

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -22,7 +22,7 @@ open TopologicalSpace MeasureTheory Filter Metric
 
 open scoped Topology Filter Interval
 
-variable {𝕜 : Type _} [IsROrC 𝕜] {μ : Measure ℝ} {E : Type _} [NormedAddCommGroup E]
+variable {𝕜 : Type _} [RCLike 𝕜] {μ : Measure ℝ} {E : Type _} [NormedAddCommGroup E]
   [NormedSpace ℝ E] [NormedSpace 𝕜 E] [CompleteSpace E] {H : Type _} [NormedAddCommGroup H]
   [NormedSpace 𝕜 H] {a b ε : ℝ} {bound : ℝ → ℝ}

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) 2021 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.Analysis.Calculus.ParametricIntegral
-import Mathbin.MeasureTheory.Integral.IntervalIntegral
+import Analysis.Calculus.ParametricIntegral
+import MeasureTheory.Integral.IntervalIntegral
 
 #align_import analysis.calculus.parametric_interval_integral 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) 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.calculus.parametric_interval_integral
-! 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.Analysis.Calculus.ParametricIntegral
 import Mathbin.MeasureTheory.Integral.IntervalIntegral
 
+#align_import analysis.calculus.parametric_interval_integral from "leanprover-community/mathlib"@"7e5137f579de09a059a5ce98f364a04e221aabf0"
+
 /-!
 # Derivatives of interval integrals depending on parameters

7e5137f5

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -31,6 +31,7 @@ variable {𝕜 : Type _} [IsROrC 𝕜] {μ : Measure ℝ} {E : Type _} [NormedAd
 
 namespace intervalIntegral
 
+#print intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip /-
 /-- Differentiation under integral of `x ↦ ∫ t in a..b, F x t` at a given point `x₀`, assuming
 `F x₀` is integrable, `x ↦ F x a` is locally Lipschitz on a ball around `x₀` for ae `a`
 (with a ball radius independent of `a`) with integrable Lipschitz bound, and `F x` is ae-measurable
@@ -53,7 +54,9 @@ theorem hasFDerivAt_integral_of_dominated_loc_of_lip {F : H → ℝ → E} {F' :
       bound_integrable h_diff
   exact ⟨this.1, this.2.const_smul _⟩
 #align interval_integral.has_fderiv_at_integral_of_dominated_loc_of_lip intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip
+-/
 
+#print intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le /-
 /-- Differentiation under integral of `x ↦ ∫ F x a` at a given point `x₀`, assuming
 `F x₀` is integrable, `x ↦ F x a` is differentiable on a ball around `x₀` for ae `a` with
 derivative norm uniformly bounded by an integrable function (the ball radius is independent of `a`),
@@ -75,7 +78,9 @@ theorem hasFDerivAt_integral_of_dominated_of_fderiv_le {F : H → ℝ → E} {F'
           bound_integrable h_diff).const_smul
       _
 #align interval_integral.has_fderiv_at_integral_of_dominated_of_fderiv_le intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le
+-/
 
+#print intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip /-
 /-- Derivative under integral of `x ↦ ∫ F x a` at a given point `x₀ : 𝕜`, `𝕜 = ℝ` or `𝕜 = ℂ`,
 assuming `F x₀` is integrable, `x ↦ F x a` is locally Lipschitz on a ball around `x₀` for ae `a`
 (with ball radius independent of `a`) with integrable Lipschitz bound, and `F x` is
@@ -98,7 +103,9 @@ theorem hasDerivAt_integral_of_dominated_loc_of_lip {F : 𝕜 → ℝ → E} {F'
       bound_integrable h_diff
   exact ⟨this.1, this.2.const_smul _⟩
 #align interval_integral.has_deriv_at_integral_of_dominated_loc_of_lip intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip
+-/
 
+#print intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le /-
 /-- Derivative under integral of `x ↦ ∫ F x a` at a given point `x₀ : 𝕜`, `𝕜 = ℝ` or `𝕜 = ℂ`,
 assuming `F x₀` is integrable, `x ↦ F x a` is differentiable on an interval around `x₀` for ae `a`
 (with interval radius independent of `a`) with derivative uniformly bounded by an integrable
@@ -120,6 +127,7 @@ theorem hasDerivAt_integral_of_dominated_loc_of_deriv_le {F : 𝕜 → ℝ → E
       bound_integrable h_diff
   exact ⟨this.1, this.2.const_smul _⟩
 #align interval_integral.has_deriv_at_integral_of_dominated_loc_of_deriv_le intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_deriv_le
+-/
 
 end intervalIntegral

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 analysis.calculus.parametric_interval_integral
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! 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.IntervalIntegral
 /-!
 # Derivatives of interval integrals depending on parameters
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we restate theorems about derivatives of integrals depending on parameters for interval
 integrals.  -/

f2ce6086

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -20,7 +20,7 @@ integrals.  -/
 
 open TopologicalSpace MeasureTheory Filter Metric
 
-open Topology Filter Interval
+open scoped Topology Filter Interval
 
 variable {𝕜 : Type _} [IsROrC 𝕜] {μ : Measure ℝ} {E : Type _} [NormedAddCommGroup E]
   [NormedSpace ℝ E] [NormedSpace 𝕜 E] [CompleteSpace E] {H : Type _} [NormedAddCommGroup H]

f2ce6086

bump to nightly-2023-05-23-20

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

4d066d3b

Diff

@@ -33,9 +33,9 @@ namespace intervalIntegral
 (with a ball radius independent of `a`) with integrable Lipschitz bound, and `F x` is ae-measurable
 for `x` in a possibly smaller neighborhood of `x₀`. -/
 theorem hasFDerivAt_integral_of_dominated_loc_of_lip {F : H → ℝ → E} {F' : ℝ → H →L[𝕜] E} {x₀ : H}
-    (ε_pos : 0 < ε) (hF_meas : ∀ᶠ x in 𝓝 x₀, AeStronglyMeasurable (F x) (μ.restrict (Ι a b)))
+    (ε_pos : 0 < ε) (hF_meas : ∀ᶠ x in 𝓝 x₀, AEStronglyMeasurable (F x) (μ.restrict (Ι a b)))
     (hF_int : IntervalIntegrable (F x₀) μ a b)
-    (hF'_meas : AeStronglyMeasurable F' (μ.restrict (Ι a b)))
+    (hF'_meas : AEStronglyMeasurable F' (μ.restrict (Ι a b)))
     (h_lip :
       ∀ᵐ t ∂μ, t ∈ Ι a b → LipschitzOnWith (Real.nnabs <| bound t) (fun x => F x t) (ball x₀ ε))
     (bound_integrable : IntervalIntegrable bound μ a b)
@@ -57,9 +57,9 @@ derivative norm uniformly bounded by an integrable function (the ball radius is
 and `F x` is ae-measurable for `x` in a possibly smaller neighborhood of `x₀`. -/
 theorem hasFDerivAt_integral_of_dominated_of_fderiv_le {F : H → ℝ → E} {F' : H → ℝ → H →L[𝕜] E}
     {x₀ : H} (ε_pos : 0 < ε)
-    (hF_meas : ∀ᶠ x in 𝓝 x₀, AeStronglyMeasurable (F x) (μ.restrict (Ι a b)))
+    (hF_meas : ∀ᶠ x in 𝓝 x₀, AEStronglyMeasurable (F x) (μ.restrict (Ι a b)))
     (hF_int : IntervalIntegrable (F x₀) μ a b)
-    (hF'_meas : AeStronglyMeasurable (F' x₀) (μ.restrict (Ι a b)))
+    (hF'_meas : AEStronglyMeasurable (F' x₀) (μ.restrict (Ι a b)))
     (h_bound : ∀ᵐ t ∂μ, t ∈ Ι a b → ∀ x ∈ ball x₀ ε, ‖F' x t‖ ≤ bound t)
     (bound_integrable : IntervalIntegrable bound μ a b)
     (h_diff : ∀ᵐ t ∂μ, t ∈ Ι a b → ∀ x ∈ ball x₀ ε, HasFDerivAt (fun x => F x t) (F' x t) x) :
@@ -78,9 +78,9 @@ assuming `F x₀` is integrable, `x ↦ F x a` is locally Lipschitz on a ball ar
 (with ball radius independent of `a`) with integrable Lipschitz bound, and `F x` is
 ae-measurable for `x` in a possibly smaller neighborhood of `x₀`. -/
 theorem hasDerivAt_integral_of_dominated_loc_of_lip {F : 𝕜 → ℝ → E} {F' : ℝ → E} {x₀ : 𝕜}
-    (ε_pos : 0 < ε) (hF_meas : ∀ᶠ x in 𝓝 x₀, AeStronglyMeasurable (F x) (μ.restrict (Ι a b)))
+    (ε_pos : 0 < ε) (hF_meas : ∀ᶠ x in 𝓝 x₀, AEStronglyMeasurable (F x) (μ.restrict (Ι a b)))
     (hF_int : IntervalIntegrable (F x₀) μ a b)
-    (hF'_meas : AeStronglyMeasurable F' (μ.restrict (Ι a b)))
+    (hF'_meas : AEStronglyMeasurable F' (μ.restrict (Ι a b)))
     (h_lipsch :
       ∀ᵐ t ∂μ, t ∈ Ι a b → LipschitzOnWith (Real.nnabs <| bound t) (fun x => F x t) (ball x₀ ε))
     (bound_integrable : IntervalIntegrable (bound : ℝ → ℝ) μ a b)
@@ -101,9 +101,9 @@ assuming `F x₀` is integrable, `x ↦ F x a` is differentiable on an interval
 (with interval radius independent of `a`) with derivative uniformly bounded by an integrable
 function, and `F x` is ae-measurable for `x` in a possibly smaller neighborhood of `x₀`. -/
 theorem hasDerivAt_integral_of_dominated_loc_of_deriv_le {F : 𝕜 → ℝ → E} {F' : 𝕜 → ℝ → E} {x₀ : 𝕜}
-    (ε_pos : 0 < ε) (hF_meas : ∀ᶠ x in 𝓝 x₀, AeStronglyMeasurable (F x) (μ.restrict (Ι a b)))
+    (ε_pos : 0 < ε) (hF_meas : ∀ᶠ x in 𝓝 x₀, AEStronglyMeasurable (F x) (μ.restrict (Ι a b)))
     (hF_int : IntervalIntegrable (F x₀) μ a b)
-    (hF'_meas : AeStronglyMeasurable (F' x₀) (μ.restrict (Ι a b)))
+    (hF'_meas : AEStronglyMeasurable (F' x₀) (μ.restrict (Ι a b)))
     (h_bound : ∀ᵐ t ∂μ, t ∈ Ι a b → ∀ x ∈ ball x₀ ε, ‖F' x t‖ ≤ bound t)
     (bound_integrable : IntervalIntegrable bound μ a b)
     (h_diff : ∀ᵐ t ∂μ, t ∈ Ι a b → ∀ x ∈ ball x₀ ε, HasDerivAt (fun x => F x t) (F' x t) x) :

f2ce6086

bump to nightly-2023-05-22-01

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

a4206c98

Diff

@@ -32,46 +32,46 @@ namespace intervalIntegral
 `F x₀` is integrable, `x ↦ F x a` is locally Lipschitz on a ball around `x₀` for ae `a`
 (with a ball radius independent of `a`) with integrable Lipschitz bound, and `F x` is ae-measurable
 for `x` in a possibly smaller neighborhood of `x₀`. -/
-theorem hasFderivAt_integral_of_dominated_loc_of_lip {F : H → ℝ → E} {F' : ℝ → H →L[𝕜] E} {x₀ : H}
+theorem hasFDerivAt_integral_of_dominated_loc_of_lip {F : H → ℝ → E} {F' : ℝ → H →L[𝕜] E} {x₀ : H}
     (ε_pos : 0 < ε) (hF_meas : ∀ᶠ x in 𝓝 x₀, AeStronglyMeasurable (F x) (μ.restrict (Ι a b)))
     (hF_int : IntervalIntegrable (F x₀) μ a b)
     (hF'_meas : AeStronglyMeasurable F' (μ.restrict (Ι a b)))
     (h_lip :
       ∀ᵐ t ∂μ, t ∈ Ι a b → LipschitzOnWith (Real.nnabs <| bound t) (fun x => F x t) (ball x₀ ε))
     (bound_integrable : IntervalIntegrable bound μ a b)
-    (h_diff : ∀ᵐ t ∂μ, t ∈ Ι a b → HasFderivAt (fun x => F x t) (F' t) x₀) :
+    (h_diff : ∀ᵐ t ∂μ, t ∈ Ι a b → HasFDerivAt (fun x => F x t) (F' t) x₀) :
     IntervalIntegrable F' μ a b ∧
-      HasFderivAt (fun x => ∫ t in a..b, F x t ∂μ) (∫ t in a..b, F' t ∂μ) x₀ :=
+      HasFDerivAt (fun x => ∫ t in a..b, F x t ∂μ) (∫ t in a..b, F' t ∂μ) x₀ :=
   by
   simp only [intervalIntegrable_iff, interval_integral_eq_integral_uIoc, ←
     ae_restrict_iff' measurableSet_uIoc] at *
   have :=
-    hasFderivAt_integral_of_dominated_loc_of_lip ε_pos hF_meas hF_int hF'_meas h_lip
+    hasFDerivAt_integral_of_dominated_loc_of_lip ε_pos hF_meas hF_int hF'_meas h_lip
       bound_integrable h_diff
   exact ⟨this.1, this.2.const_smul _⟩
-#align interval_integral.has_fderiv_at_integral_of_dominated_loc_of_lip intervalIntegral.hasFderivAt_integral_of_dominated_loc_of_lip
+#align interval_integral.has_fderiv_at_integral_of_dominated_loc_of_lip intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip
 
 /-- Differentiation under integral of `x ↦ ∫ F x a` at a given point `x₀`, assuming
 `F x₀` is integrable, `x ↦ F x a` is differentiable on a ball around `x₀` for ae `a` with
 derivative norm uniformly bounded by an integrable function (the ball radius is independent of `a`),
 and `F x` is ae-measurable for `x` in a possibly smaller neighborhood of `x₀`. -/
-theorem hasFderivAt_integral_of_dominated_of_fderiv_le {F : H → ℝ → E} {F' : H → ℝ → H →L[𝕜] E}
+theorem hasFDerivAt_integral_of_dominated_of_fderiv_le {F : H → ℝ → E} {F' : H → ℝ → H →L[𝕜] E}
     {x₀ : H} (ε_pos : 0 < ε)
     (hF_meas : ∀ᶠ x in 𝓝 x₀, AeStronglyMeasurable (F x) (μ.restrict (Ι a b)))
     (hF_int : IntervalIntegrable (F x₀) μ a b)
     (hF'_meas : AeStronglyMeasurable (F' x₀) (μ.restrict (Ι a b)))
     (h_bound : ∀ᵐ t ∂μ, t ∈ Ι a b → ∀ x ∈ ball x₀ ε, ‖F' x t‖ ≤ bound t)
     (bound_integrable : IntervalIntegrable bound μ a b)
-    (h_diff : ∀ᵐ t ∂μ, t ∈ Ι a b → ∀ x ∈ ball x₀ ε, HasFderivAt (fun x => F x t) (F' x t) x) :
-    HasFderivAt (fun x => ∫ t in a..b, F x t ∂μ) (∫ t in a..b, F' x₀ t ∂μ) x₀ :=
+    (h_diff : ∀ᵐ t ∂μ, t ∈ Ι a b → ∀ x ∈ ball x₀ ε, HasFDerivAt (fun x => F x t) (F' x t) x) :
+    HasFDerivAt (fun x => ∫ t in a..b, F x t ∂μ) (∫ t in a..b, F' x₀ t ∂μ) x₀ :=
   by
   simp only [intervalIntegrable_iff, interval_integral_eq_integral_uIoc, ←
     ae_restrict_iff' measurableSet_uIoc] at *
   exact
-    (hasFderivAt_integral_of_dominated_of_fderiv_le ε_pos hF_meas hF_int hF'_meas h_bound
+    (hasFDerivAt_integral_of_dominated_of_fderiv_le ε_pos hF_meas hF_int hF'_meas h_bound
           bound_integrable h_diff).const_smul
       _
-#align interval_integral.has_fderiv_at_integral_of_dominated_of_fderiv_le intervalIntegral.hasFderivAt_integral_of_dominated_of_fderiv_le
+#align interval_integral.has_fderiv_at_integral_of_dominated_of_fderiv_le intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le
 
 /-- Derivative under integral of `x ↦ ∫ F x a` at a given point `x₀ : 𝕜`, `𝕜 = ℝ` or `𝕜 = ℂ`,
 assuming `F x₀` is integrable, `x ↦ F x a` is locally Lipschitz on a ball around `x₀` for ae `a`

f2ce6086

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

f2ce6086

chore: Rename IsROrC to RCLike (#10819)

IsROrC contains data, which goes against the expectation that classes prefixed with Is are prop-valued. People have been complaining about this on and off, so this PR renames IsROrC to RCLike.

43618f93

Diff

@@ -19,7 +19,7 @@ open TopologicalSpace MeasureTheory Filter Metric
 
 open scoped Topology Filter Interval
 
-variable {𝕜 : Type*} [IsROrC 𝕜] {μ : Measure ℝ} {E : Type*} [NormedAddCommGroup E]
+variable {𝕜 : Type*} [RCLike 𝕜] {μ : Measure ℝ} {E : Type*} [NormedAddCommGroup E]
   [NormedSpace ℝ E] [NormedSpace 𝕜 E] [CompleteSpace E] {H : Type*} [NormedAddCommGroup H]
   [NormedSpace 𝕜 H] {a b ε : ℝ} {bound : ℝ → ℝ}

f2ce6086

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

@@ -19,8 +19,8 @@ open TopologicalSpace MeasureTheory Filter Metric
 
 open scoped Topology Filter Interval
 
-variable {𝕜 : Type _} [IsROrC 𝕜] {μ : Measure ℝ} {E : Type _} [NormedAddCommGroup E]
-  [NormedSpace ℝ E] [NormedSpace 𝕜 E] [CompleteSpace E] {H : Type _} [NormedAddCommGroup H]
+variable {𝕜 : Type*} [IsROrC 𝕜] {μ : Measure ℝ} {E : Type*} [NormedAddCommGroup E]
+  [NormedSpace ℝ E] [NormedSpace 𝕜 E] [CompleteSpace E] {H : Type*} [NormedAddCommGroup H]
   [NormedSpace 𝕜 H] {a b ε : ℝ} {bound : ℝ → ℝ}
 
 namespace intervalIntegral

f2ce6086

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) 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.calculus.parametric_interval_integral
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Calculus.ParametricIntegral
 import Mathlib.MeasureTheory.Integral.IntervalIntegral
 
+#align_import analysis.calculus.parametric_interval_integral from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"
+
 /-!
 # Derivatives of interval integrals depending on parameters

f2ce6086

feat: port Analysis.Calculus.ParametricIntervalIntegral (#4782)

08c0b9f8

`analysis.calculus.parametric_interval_integral` ⟷ `Mathlib.Analysis.Calculus.ParametricIntervalIntegral`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 1021

analysis.calculus.parametric_interval_integral ⟷ Mathlib.Analysis.Calculus.ParametricIntervalIntegral

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 1021

`analysis.calculus.parametric_interval_integral` ⟷ `Mathlib.Analysis.Calculus.ParametricIntervalIntegral`