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

fe44cd36

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

fd4551cf

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Vincent Beffara
 -/
 import Analysis.Complex.RemovableSingularity
-import Analysis.Calculus.Series
+import Analysis.NormedSpace.FunctionSeries
 
 #align_import analysis.complex.locally_uniform_limit from "leanprover-community/mathlib"@"fd4551cfe4b7484b81c2c9ba3405edae27659676"
 
@@ -129,7 +129,7 @@ theorem TendstoUniformlyOn.cderiv (hF : TendstoUniformlyOn F f φ (cthickening 
   have e3 := sphere_subset_closed_ball.trans (closed_ball_subset_cthickening hz δ)
   have hf : ContinuousOn f (sphere z δ) :=
     e1.mono (sphere_subset_closed_ball.trans (closed_ball_subset_cthickening hz δ))
-  simpa only [mul_div_cancel _ hδ.ne.symm] using norm_cderiv_sub_lt hδ e2 hf (h'.mono e3)
+  simpa only [mul_div_cancel_right₀ _ hδ.ne.symm] using norm_cderiv_sub_lt hδ e2 hf (h'.mono e3)
 #align complex.tendsto_uniformly_on.cderiv Complex.TendstoUniformlyOn.cderiv
 
 end Cderiv

fd4551cf

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -63,7 +63,7 @@ theorem norm_cderiv_le (hr : 0 < r) (hf : ∀ w ∈ sphere z r, ‖f w‖ ≤ M)
   have h1 : ∀ w ∈ sphere z r, ‖((w - z) ^ 2)⁻¹ • f w‖ ≤ M / r ^ 2 :=
     by
     intro w hw
-    simp only [mem_sphere_iff_norm, norm_eq_abs] at hw 
+    simp only [mem_sphere_iff_norm, norm_eq_abs] at hw
     simp only [norm_smul, inv_mul_eq_div, hw, norm_eq_abs, map_inv₀, Complex.abs_pow]
     exact div_le_div hM (hf w hw) (sq_pos_of_pos hr) le_rfl
   have h2 := circleIntegral.norm_integral_le_of_norm_le_const hr.le h1
@@ -81,7 +81,7 @@ theorem cderiv_sub (hr : 0 < r) (hf : ContinuousOn f (sphere z r))
   have h1 : ContinuousOn (fun w : ℂ => ((w - z) ^ 2)⁻¹) (sphere z r) :=
     by
     refine' ((continuous_id'.sub continuous_const).pow 2).ContinuousOn.inv₀ fun w hw h => hr.ne _
-    rwa [mem_sphere_iff_norm, sq_eq_zero_iff.mp h, norm_zero] at hw 
+    rwa [mem_sphere_iff_norm, sq_eq_zero_iff.mp h, norm_zero] at hw
   simp_rw [cderiv, ← smul_sub]
   congr 1
   simpa only [Pi.sub_apply, smul_sub] using

fd4551cf

bump to nightly-2024-02-01-06

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

5433bded

Diff

@@ -214,7 +214,11 @@ summable function, and each term in the sum is differentiable on `U`, then so is
 theorem differentiableOn_tsum_of_summable_norm {u : ι → ℝ} (hu : Summable u)
     (hf : ∀ i : ι, DifferentiableOn ℂ (F i) U) (hU : IsOpen U)
     (hF_le : ∀ (i : ι) (w : ℂ), w ∈ U → ‖F i w‖ ≤ u i) :
-    DifferentiableOn ℂ (fun w : ℂ => ∑' i : ι, F i w) U := by classical
+    DifferentiableOn ℂ (fun w : ℂ => ∑' i : ι, F i w) U := by
+  classical
+  have hc := (tendstoUniformlyOn_tsum hu hF_le).TendstoLocallyUniformlyOn
+  refine' hc.differentiable_on (eventually_of_forall fun s => _) hU
+  exact DifferentiableOn.sum fun i hi => hf i
 #align complex.differentiable_on_tsum_of_summable_norm Complex.differentiableOn_tsum_of_summable_norm
 -/

fd4551cf

bump to nightly-2024-01-31-06

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

61100fe9

Diff

@@ -214,11 +214,7 @@ summable function, and each term in the sum is differentiable on `U`, then so is
 theorem differentiableOn_tsum_of_summable_norm {u : ι → ℝ} (hu : Summable u)
     (hf : ∀ i : ι, DifferentiableOn ℂ (F i) U) (hU : IsOpen U)
     (hF_le : ∀ (i : ι) (w : ℂ), w ∈ U → ‖F i w‖ ≤ u i) :
-    DifferentiableOn ℂ (fun w : ℂ => ∑' i : ι, F i w) U := by
-  classical
-  have hc := (tendstoUniformlyOn_tsum hu hF_le).TendstoLocallyUniformlyOn
-  refine' hc.differentiable_on (eventually_of_forall fun s => _) hU
-  exact DifferentiableOn.sum fun i hi => hf i
+    DifferentiableOn ℂ (fun w : ℂ => ∑' i : ι, F i w) U := by classical
 #align complex.differentiable_on_tsum_of_summable_norm Complex.differentiableOn_tsum_of_summable_norm
 -/

fd4551cf

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2022 Vincent Beffara. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Vincent Beffara
 -/
-import Mathbin.Analysis.Complex.RemovableSingularity
-import Mathbin.Analysis.Calculus.Series
+import Analysis.Complex.RemovableSingularity
+import Analysis.Calculus.Series
 
 #align_import analysis.complex.locally_uniform_limit from "leanprover-community/mathlib"@"fd4551cfe4b7484b81c2c9ba3405edae27659676"

fd4551cf

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Vincent Beffara. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Vincent Beffara
-
-! This file was ported from Lean 3 source module analysis.complex.locally_uniform_limit
-! leanprover-community/mathlib commit fd4551cfe4b7484b81c2c9ba3405edae27659676
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Complex.RemovableSingularity
 import Mathbin.Analysis.Calculus.Series
 
+#align_import analysis.complex.locally_uniform_limit from "leanprover-community/mathlib"@"fd4551cfe4b7484b81c2c9ba3405edae27659676"
+
 /-!
 # Locally uniform limits of holomorphic functions

fd4551cf

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -40,18 +40,23 @@ namespace Complex
 
 section Cderiv
 
+#print Complex.cderiv /-
 /-- A circle integral which coincides with `deriv f z` whenever one can apply the Cauchy formula for
 the derivative. It is useful in the proof that locally uniform limits of holomorphic functions are
 holomorphic, because it depends continuously on `f` for the uniform topology. -/
 noncomputable def cderiv (r : ℝ) (f : ℂ → E) (z : ℂ) : E :=
   (2 * π * I : ℂ)⁻¹ • ∮ w in C(z, r), ((w - z) ^ 2)⁻¹ • f w
 #align complex.cderiv Complex.cderiv
+-/
 
+#print Complex.cderiv_eq_deriv /-
 theorem cderiv_eq_deriv (hU : IsOpen U) (hf : DifferentiableOn ℂ f U) (hr : 0 < r)
     (hzr : closedBall z r ⊆ U) : cderiv r f z = deriv f z :=
   two_pi_I_inv_smul_circleIntegral_sub_sq_inv_smul_of_differentiable hU hzr hf (mem_ball_self hr)
 #align complex.cderiv_eq_deriv Complex.cderiv_eq_deriv
+-/
 
+#print Complex.norm_cderiv_le /-
 theorem norm_cderiv_le (hr : 0 < r) (hf : ∀ w ∈ sphere z r, ‖f w‖ ≤ M) : ‖cderiv r f z‖ ≤ M / r :=
   by
   have hM : 0 ≤ M :=
@@ -70,7 +75,9 @@ theorem norm_cderiv_le (hr : 0 < r) (hf : ∀ w ∈ sphere z r, ‖f w‖ ≤ M)
   field_simp [_root_.abs_of_nonneg real.pi_pos.le, real.pi_pos.ne.symm, hr.ne.symm]
   ring
 #align complex.norm_cderiv_le Complex.norm_cderiv_le
+-/
 
+#print Complex.cderiv_sub /-
 theorem cderiv_sub (hr : 0 < r) (hf : ContinuousOn f (sphere z r))
     (hg : ContinuousOn g (sphere z r)) : cderiv r (f - g) z = cderiv r f z - cderiv r g z :=
   by
@@ -84,7 +91,9 @@ theorem cderiv_sub (hr : 0 < r) (hf : ContinuousOn f (sphere z r))
     circleIntegral.integral_sub ((h1.smul hf).CircleIntegrable hr.le)
       ((h1.smul hg).CircleIntegrable hr.le)
 #align complex.cderiv_sub Complex.cderiv_sub
+-/
 
+#print Complex.norm_cderiv_lt /-
 theorem norm_cderiv_lt (hr : 0 < r) (hfM : ∀ w ∈ sphere z r, ‖f w‖ < M)
     (hf : ContinuousOn f (sphere z r)) : ‖cderiv r f z‖ < M / r :=
   by
@@ -96,12 +105,15 @@ theorem norm_cderiv_lt (hr : 0 < r) (hfM : ∀ w ∈ sphere z r, ‖f w‖ < M)
     exact ⟨‖f x‖, hfM x hx, hx'⟩
   exact (norm_cderiv_le hr hL2).trans_lt ((div_lt_div_right hr).mpr hL1)
 #align complex.norm_cderiv_lt Complex.norm_cderiv_lt
+-/
 
+#print Complex.norm_cderiv_sub_lt /-
 theorem norm_cderiv_sub_lt (hr : 0 < r) (hfg : ∀ w ∈ sphere z r, ‖f w - g w‖ < M)
     (hf : ContinuousOn f (sphere z r)) (hg : ContinuousOn g (sphere z r)) :
     ‖cderiv r f z - cderiv r g z‖ < M / r :=
   cderiv_sub hr hf hg ▸ norm_cderiv_lt hr hfg (hf.sub hg)
 #align complex.norm_cderiv_sub_lt Complex.norm_cderiv_sub_lt
+-/
 
 theorem TendstoUniformlyOn.cderiv (hF : TendstoUniformlyOn F f φ (cthickening δ K)) (hδ : 0 < δ)
     (hFn : ∀ᶠ n in φ, ContinuousOn (F n) (cthickening δ K)) :
@@ -127,6 +139,7 @@ end Cderiv
 
 section Weierstrass
 
+#print Complex.tendstoUniformlyOn_deriv_of_cthickening_subset /-
 theorem tendstoUniformlyOn_deriv_of_cthickening_subset (hf : TendstoLocallyUniformlyOn F f φ U)
     (hF : ∀ᶠ n in φ, DifferentiableOn ℂ (F n) U) {δ : ℝ} (hδ : 0 < δ) (hK : IsCompact K)
     (hU : IsOpen U) (hKU : cthickening δ K ⊆ U) : TendstoUniformlyOn (deriv ∘ F) (cderiv δ f) φ K :=
@@ -141,7 +154,9 @@ theorem tendstoUniformlyOn_deriv_of_cthickening_subset (hf : TendstoLocallyUnifo
   filter_upwards [hF] with n h z hz
   exact cderiv_eq_deriv hU h hδ ((closed_ball_subset_cthickening hz δ).trans hKU)
 #align complex.tendsto_uniformly_on_deriv_of_cthickening_subset Complex.tendstoUniformlyOn_deriv_of_cthickening_subset
+-/
 
+#print Complex.exists_cthickening_tendstoUniformlyOn /-
 theorem exists_cthickening_tendstoUniformlyOn (hf : TendstoLocallyUniformlyOn F f φ U)
     (hF : ∀ᶠ n in φ, DifferentiableOn ℂ (F n) U) (hK : IsCompact K) (hU : IsOpen U) (hKU : K ⊆ U) :
     ∃ δ > 0, cthickening δ K ⊆ U ∧ TendstoUniformlyOn (deriv ∘ F) (cderiv δ f) φ K :=
@@ -149,7 +164,9 @@ theorem exists_cthickening_tendstoUniformlyOn (hf : TendstoLocallyUniformlyOn F
   obtain ⟨δ, hδ, hKδ⟩ := hK.exists_cthickening_subset_open hU hKU
   exact ⟨δ, hδ, hKδ, tendsto_uniformly_on_deriv_of_cthickening_subset hf hF hδ hK hU hKδ⟩
 #align complex.exists_cthickening_tendsto_uniformly_on Complex.exists_cthickening_tendstoUniformlyOn
+-/
 
+#print TendstoLocallyUniformlyOn.differentiableOn /-
 /-- A locally uniform limit of holomorphic functions on an open domain of the complex plane is
 holomorphic (the derivatives converge locally uniformly to that of the limit, which is proved
 as `tendsto_locally_uniformly_on.deriv`). -/
@@ -172,7 +189,9 @@ theorem TendstoLocallyUniformlyOn.differentiableOn [φ.ne_bot]
     (h6 x hx).DifferentiableAt.DifferentiableWithinAt
   exact (h7.differentiable_at (interior_mem_nhds.mpr hKx)).DifferentiableWithinAt
 #align tendsto_locally_uniformly_on.differentiable_on TendstoLocallyUniformlyOn.differentiableOn
+-/
 
+#print TendstoLocallyUniformlyOn.deriv /-
 theorem TendstoLocallyUniformlyOn.deriv (hf : TendstoLocallyUniformlyOn F f φ U)
     (hF : ∀ᶠ n in φ, DifferentiableOn ℂ (F n) U) (hU : IsOpen U) :
     TendstoLocallyUniformlyOn (deriv ∘ F) (deriv f) φ U :=
@@ -186,11 +205,13 @@ theorem TendstoLocallyUniformlyOn.deriv (hf : TendstoLocallyUniformlyOn F f φ U
   refine' h.congr_right fun z hz => cderiv_eq_deriv hU (hf.differentiable_on hF hU) hδ _
   exact (closed_ball_subset_cthickening hz δ).trans hK4
 #align tendsto_locally_uniformly_on.deriv TendstoLocallyUniformlyOn.deriv
+-/
 
 end Weierstrass
 
 section Tsums
 
+#print Complex.differentiableOn_tsum_of_summable_norm /-
 /-- If the terms in the sum `∑' (i : ι), F i` are uniformly bounded on `U` by a
 summable function, and each term in the sum is differentiable on `U`, then so is the sum. -/
 theorem differentiableOn_tsum_of_summable_norm {u : ι → ℝ} (hu : Summable u)
@@ -202,7 +223,9 @@ theorem differentiableOn_tsum_of_summable_norm {u : ι → ℝ} (hu : Summable u
   refine' hc.differentiable_on (eventually_of_forall fun s => _) hU
   exact DifferentiableOn.sum fun i hi => hf i
 #align complex.differentiable_on_tsum_of_summable_norm Complex.differentiableOn_tsum_of_summable_norm
+-/
 
+#print Complex.hasSum_deriv_of_summable_norm /-
 /-- If the terms in the sum `∑' (i : ι), F i` are uniformly bounded on `U` by a
 summable function, then the sum of `deriv F i` at a point in `U` is the derivative of the
 sum. -/
@@ -220,6 +243,7 @@ theorem hasSum_deriv_of_summable_norm {u : ι → ℝ} (hu : Summable u)
   ext1 s
   exact (deriv_sum fun i hi => (hf i).DifferentiableAt (hU.mem_nhds hz)).symm
 #align complex.has_sum_deriv_of_summable_norm Complex.hasSum_deriv_of_summable_norm
+-/
 
 end Tsums

fd4551cf

bump to nightly-2023-06-11-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c471da714c044131b90c133701e51b877c246677

6960a941

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Vincent Beffara
 
 ! This file was ported from Lean 3 source module analysis.complex.locally_uniform_limit
-! leanprover-community/mathlib commit fe44cd36149e675eb5dec87acc7e8f1d6568e081
+! leanprover-community/mathlib commit fd4551cfe4b7484b81c2c9ba3405edae27659676
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Analysis.Calculus.Series
 /-!
 # Locally uniform limits of holomorphic functions
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file gathers some results about locally uniform limits of holomorphic functions on an open
 subset of the complex plane.

fe44cd36

bump to nightly-2023-06-09-15

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

2b0a7039

Diff

@@ -46,7 +46,7 @@ noncomputable def cderiv (r : ℝ) (f : ℂ → E) (z : ℂ) : E :=
 
 theorem cderiv_eq_deriv (hU : IsOpen U) (hf : DifferentiableOn ℂ f U) (hr : 0 < r)
     (hzr : closedBall z r ⊆ U) : cderiv r f z = deriv f z :=
-  two_pi_i_inv_smul_circleIntegral_sub_sq_inv_smul_of_differentiable hU hzr hf (mem_ball_self hr)
+  two_pi_I_inv_smul_circleIntegral_sub_sq_inv_smul_of_differentiable hU hzr hf (mem_ball_self hr)
 #align complex.cderiv_eq_deriv Complex.cderiv_eq_deriv
 
 theorem norm_cderiv_le (hr : 0 < r) (hf : ∀ w ∈ sphere z r, ‖f w‖ ≤ M) : ‖cderiv r f z‖ ≤ M / r :=

fe44cd36

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -110,7 +110,7 @@ theorem TendstoUniformlyOn.cderiv (hF : TendstoUniformlyOn F f φ (cthickening 
   have e1 : ContinuousOn f (cthickening δ K) := TendstoUniformlyOn.continuousOn hF hFn
   rw [tendsto_uniformly_on_iff] at hF ⊢
   rintro ε hε
-  filter_upwards [hF (ε * δ) (mul_pos hε hδ), hFn]with n h h' z hz
+  filter_upwards [hF (ε * δ) (mul_pos hε hδ), hFn] with n h h' z hz
   simp_rw [dist_eq_norm] at h ⊢
   have e2 : ∀ w ∈ sphere z δ, ‖f w - F n w‖ < ε * δ := fun w hw1 =>
     h w (closed_ball_subset_cthickening hz δ (sphere_subset_closed_ball hw1))
@@ -129,13 +129,13 @@ theorem tendstoUniformlyOn_deriv_of_cthickening_subset (hf : TendstoLocallyUnifo
     (hU : IsOpen U) (hKU : cthickening δ K ⊆ U) : TendstoUniformlyOn (deriv ∘ F) (cderiv δ f) φ K :=
   by
   have h1 : ∀ᶠ n in φ, ContinuousOn (F n) (cthickening δ K) := by
-    filter_upwards [hF]with n h using h.continuous_on.mono hKU
+    filter_upwards [hF] with n h using h.continuous_on.mono hKU
   have h2 : IsCompact (cthickening δ K) :=
     is_compact_of_is_closed_bounded is_closed_cthickening hK.bounded.cthickening
   have h3 : TendstoUniformlyOn F f φ (cthickening δ K) :=
     (tendstoLocallyUniformlyOn_iff_forall_isCompact hU).mp hf (cthickening δ K) hKU h2
   apply (h3.cderiv hδ h1).congr
-  filter_upwards [hF]with n h z hz
+  filter_upwards [hF] with n h z hz
   exact cderiv_eq_deriv hU h hδ ((closed_ball_subset_cthickening hz δ).trans hKU)
 #align complex.tendsto_uniformly_on_deriv_of_cthickening_subset Complex.tendstoUniformlyOn_deriv_of_cthickening_subset
 
@@ -159,7 +159,7 @@ theorem TendstoLocallyUniformlyOn.differentiableOn [φ.ne_bot]
   obtain ⟨δ, hδ, -, h1⟩ := exists_cthickening_tendsto_uniformly_on hf hF hK hU hKU
   have h2 : interior K ⊆ U := interior_subset.trans hKU
   have h3 : ∀ᶠ n in φ, DifferentiableOn ℂ (F n) (interior K)
-  filter_upwards [hF]with n h using h.mono h2
+  filter_upwards [hF] with n h using h.mono h2
   have h4 : TendstoLocallyUniformlyOn F f φ (interior K) := hf.mono h2
   have h5 : TendstoLocallyUniformlyOn (deriv ∘ F) (cderiv δ f) φ (interior K) :=
     h1.tendsto_locally_uniformly_on.mono interior_subset
@@ -195,9 +195,9 @@ theorem differentiableOn_tsum_of_summable_norm {u : ι → ℝ} (hu : Summable u
     (hF_le : ∀ (i : ι) (w : ℂ), w ∈ U → ‖F i w‖ ≤ u i) :
     DifferentiableOn ℂ (fun w : ℂ => ∑' i : ι, F i w) U := by
   classical
-    have hc := (tendstoUniformlyOn_tsum hu hF_le).TendstoLocallyUniformlyOn
-    refine' hc.differentiable_on (eventually_of_forall fun s => _) hU
-    exact DifferentiableOn.sum fun i hi => hf i
+  have hc := (tendstoUniformlyOn_tsum hu hF_le).TendstoLocallyUniformlyOn
+  refine' hc.differentiable_on (eventually_of_forall fun s => _) hU
+  exact DifferentiableOn.sum fun i hi => hf i
 #align complex.differentiable_on_tsum_of_summable_norm Complex.differentiableOn_tsum_of_summable_norm
 
 /-- If the terms in the sum `∑' (i : ι), F i` are uniformly bounded on `U` by a
@@ -210,8 +210,8 @@ theorem hasSum_deriv_of_summable_norm {u : ι → ℝ} (hu : Summable u)
   by
   rw [HasSum]
   have hc := (tendstoUniformlyOn_tsum hu hF_le).TendstoLocallyUniformlyOn
-  convert(hc.deriv (eventually_of_forall fun s => DifferentiableOn.sum fun i hi => hf i)
-          hU).tendsto_at
+  convert
+    (hc.deriv (eventually_of_forall fun s => DifferentiableOn.sum fun i hi => hf i) hU).tendsto_at
       hz using
     1
   ext1 s

fe44cd36

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -58,7 +58,7 @@ theorem norm_cderiv_le (hr : 0 < r) (hf : ∀ w ∈ sphere z r, ‖f w‖ ≤ M)
   have h1 : ∀ w ∈ sphere z r, ‖((w - z) ^ 2)⁻¹ • f w‖ ≤ M / r ^ 2 :=
     by
     intro w hw
-    simp only [mem_sphere_iff_norm, norm_eq_abs] at hw
+    simp only [mem_sphere_iff_norm, norm_eq_abs] at hw 
     simp only [norm_smul, inv_mul_eq_div, hw, norm_eq_abs, map_inv₀, Complex.abs_pow]
     exact div_le_div hM (hf w hw) (sq_pos_of_pos hr) le_rfl
   have h2 := circleIntegral.norm_integral_le_of_norm_le_const hr.le h1
@@ -74,7 +74,7 @@ theorem cderiv_sub (hr : 0 < r) (hf : ContinuousOn f (sphere z r))
   have h1 : ContinuousOn (fun w : ℂ => ((w - z) ^ 2)⁻¹) (sphere z r) :=
     by
     refine' ((continuous_id'.sub continuous_const).pow 2).ContinuousOn.inv₀ fun w hw h => hr.ne _
-    rwa [mem_sphere_iff_norm, sq_eq_zero_iff.mp h, norm_zero] at hw
+    rwa [mem_sphere_iff_norm, sq_eq_zero_iff.mp h, norm_zero] at hw 
   simp_rw [cderiv, ← smul_sub]
   congr 1
   simpa only [Pi.sub_apply, smul_sub] using
@@ -108,10 +108,10 @@ theorem TendstoUniformlyOn.cderiv (hF : TendstoUniformlyOn F f φ (cthickening 
   · simp only [h, TendstoUniformlyOn, eventually_bot, imp_true_iff]
   haveI : φ.ne_bot := ne_bot_iff.2 h
   have e1 : ContinuousOn f (cthickening δ K) := TendstoUniformlyOn.continuousOn hF hFn
-  rw [tendsto_uniformly_on_iff] at hF⊢
+  rw [tendsto_uniformly_on_iff] at hF ⊢
   rintro ε hε
   filter_upwards [hF (ε * δ) (mul_pos hε hδ), hFn]with n h h' z hz
-  simp_rw [dist_eq_norm] at h⊢
+  simp_rw [dist_eq_norm] at h ⊢
   have e2 : ∀ w ∈ sphere z δ, ‖f w - F n w‖ < ε * δ := fun w hw1 =>
     h w (closed_ball_subset_cthickening hz δ (sphere_subset_closed_ball hw1))
   have e3 := sphere_subset_closed_ball.trans (closed_ball_subset_cthickening hz δ)

fe44cd36

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -28,7 +28,7 @@ subset of the complex plane.
 
 open Set Metric MeasureTheory Filter Complex intervalIntegral
 
-open Real Topology
+open scoped Real Topology
 
 variable {E ι : Type _} [NormedAddCommGroup E] [NormedSpace ℂ E] [CompleteSpace E] {U K : Set ℂ}
   {z : ℂ} {M r δ : ℝ} {φ : Filter ι} {F : ι → ℂ → E} {f g : ℂ → E}

fe44cd36

bump to nightly-2023-03-31-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce11c3c2a285bbe6937e26d9792fda4e51f3fe1a

c3ffa91f

Diff

@@ -4,12 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Vincent Beffara
 
 ! This file was ported from Lean 3 source module analysis.complex.locally_uniform_limit
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! leanprover-community/mathlib commit fe44cd36149e675eb5dec87acc7e8f1d6568e081
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Complex.RemovableSingularity
-import Mathbin.Analysis.Calculus.UniformLimitsDeriv
+import Mathbin.Analysis.Calculus.Series
 
 /-!
 # Locally uniform limits of holomorphic functions
@@ -186,5 +186,39 @@ theorem TendstoLocallyUniformlyOn.deriv (hf : TendstoLocallyUniformlyOn F f φ U
 
 end Weierstrass
 
+section Tsums
+
+/-- If the terms in the sum `∑' (i : ι), F i` are uniformly bounded on `U` by a
+summable function, and each term in the sum is differentiable on `U`, then so is the sum. -/
+theorem differentiableOn_tsum_of_summable_norm {u : ι → ℝ} (hu : Summable u)
+    (hf : ∀ i : ι, DifferentiableOn ℂ (F i) U) (hU : IsOpen U)
+    (hF_le : ∀ (i : ι) (w : ℂ), w ∈ U → ‖F i w‖ ≤ u i) :
+    DifferentiableOn ℂ (fun w : ℂ => ∑' i : ι, F i w) U := by
+  classical
+    have hc := (tendstoUniformlyOn_tsum hu hF_le).TendstoLocallyUniformlyOn
+    refine' hc.differentiable_on (eventually_of_forall fun s => _) hU
+    exact DifferentiableOn.sum fun i hi => hf i
+#align complex.differentiable_on_tsum_of_summable_norm Complex.differentiableOn_tsum_of_summable_norm
+
+/-- If the terms in the sum `∑' (i : ι), F i` are uniformly bounded on `U` by a
+summable function, then the sum of `deriv F i` at a point in `U` is the derivative of the
+sum. -/
+theorem hasSum_deriv_of_summable_norm {u : ι → ℝ} (hu : Summable u)
+    (hf : ∀ i : ι, DifferentiableOn ℂ (F i) U) (hU : IsOpen U)
+    (hF_le : ∀ (i : ι) (w : ℂ), w ∈ U → ‖F i w‖ ≤ u i) (hz : z ∈ U) :
+    HasSum (fun i : ι => deriv (F i) z) (deriv (fun w : ℂ => ∑' i : ι, F i w) z) :=
+  by
+  rw [HasSum]
+  have hc := (tendstoUniformlyOn_tsum hu hF_le).TendstoLocallyUniformlyOn
+  convert(hc.deriv (eventually_of_forall fun s => DifferentiableOn.sum fun i hi => hf i)
+          hU).tendsto_at
+      hz using
+    1
+  ext1 s
+  exact (deriv_sum fun i hi => (hf i).DifferentiableAt (hU.mem_nhds hz)).symm
+#align complex.has_sum_deriv_of_summable_norm Complex.hasSum_deriv_of_summable_norm
+
+end Tsums
+
 end Complex

f2ce6086

bump to nightly-2023-03-10-14

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

24f14899

Diff

@@ -41,7 +41,7 @@ section Cderiv
 the derivative. It is useful in the proof that locally uniform limits of holomorphic functions are
 holomorphic, because it depends continuously on `f` for the uniform topology. -/
 noncomputable def cderiv (r : ℝ) (f : ℂ → E) (z : ℂ) : E :=
-  (2 * π * i : ℂ)⁻¹ • ∮ w in C(z, r), ((w - z) ^ 2)⁻¹ • f w
+  (2 * π * I : ℂ)⁻¹ • ∮ w in C(z, r), ((w - z) ^ 2)⁻¹ • f w
 #align complex.cderiv Complex.cderiv
 
 theorem cderiv_eq_deriv (hU : IsOpen U) (hf : DifferentiableOn ℂ f U) (hr : 0 < r)

f2ce6086

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

fe44cd36

chore: Rename mul-div cancellation lemmas (#11530)

Lemma names around cancellation of multiplication and division are a mess.

This PR renames a handful of them according to the following table (each big row contains the multiplicative statement, then the three rows contain the GroupWithZero lemma name, the Group lemma, the AddGroup lemma name).

4ea4a86a

Diff

@@ -107,7 +107,7 @@ theorem _root_.TendstoUniformlyOn.cderiv (hF : TendstoUniformlyOn F f φ (cthick
   have e3 := sphere_subset_closedBall.trans (closedBall_subset_cthickening hz δ)
   have hf : ContinuousOn f (sphere z δ) :=
     e1.mono (sphere_subset_closedBall.trans (closedBall_subset_cthickening hz δ))
-  simpa only [mul_div_cancel _ hδ.ne.symm] using norm_cderiv_sub_lt hδ e2 hf (h'.mono e3)
+  simpa only [mul_div_cancel_right₀ _ hδ.ne.symm] using norm_cderiv_sub_lt hδ e2 hf (h'.mono e3)
 #align tendsto_uniformly_on.cderiv TendstoUniformlyOn.cderiv
 
 end Cderiv

fe44cd36

chore: remove stream-of-consciousness uses of have, replace and suffices (#10640)

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

a13e8040

Diff

@@ -145,8 +145,8 @@ theorem _root_.TendstoLocallyUniformlyOn.differentiableOn [φ.NeBot]
   obtain ⟨K, ⟨hKx, hK⟩, hKU⟩ := (compact_basis_nhds x).mem_iff.mp (hU.mem_nhds hx)
   obtain ⟨δ, _, _, h1⟩ := exists_cthickening_tendstoUniformlyOn hf hF hK hU hKU
   have h2 : interior K ⊆ U := interior_subset.trans hKU
-  have h3 : ∀ᶠ n in φ, DifferentiableOn ℂ (F n) (interior K)
-  filter_upwards [hF] with n h using h.mono h2
+  have h3 : ∀ᶠ n in φ, DifferentiableOn ℂ (F n) (interior K) := by
+    filter_upwards [hF] with n h using h.mono h2
   have h4 : TendstoLocallyUniformlyOn F f φ (interior K) := hf.mono h2
   have h5 : TendstoLocallyUniformlyOn (deriv ∘ F) (cderiv δ f) φ (interior K) :=
     h1.tendstoLocallyUniformlyOn.mono interior_subset

fe44cd36

chore(*): shake imports (#10199)

Remove Data.Set.Basic from scripts/noshake.json.
Remove an exception that was used by examples only, move these examples to a new test file.
Drop an exception for Order.Filter.Basic dependency on Control.Traversable.Instances, as the relevant parts were moved to Order.Filter.ListTraverse.
Run lake exe shake --fix.

c167d468

Diff

@@ -5,6 +5,7 @@ Authors: Vincent Beffara
 -/
 import Mathlib.Analysis.Complex.RemovableSingularity
 import Mathlib.Analysis.Calculus.UniformLimitsDeriv
+import Mathlib.Analysis.NormedSpace.FunctionSeries
 
 #align_import analysis.complex.locally_uniform_limit from "leanprover-community/mathlib"@"fe44cd36149e675eb5dec87acc7e8f1d6568e081"

fe44cd36

feat: add lake exe shake to CI (#9751)

depends on: #9830
depends on: #9772
depends on: #9996

This checks files for unused imports. The output here is piped through gh-problem-matcher-wrap so that it will show up as annotations.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

056cc4b2

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Vincent Beffara
 -/
 import Mathlib.Analysis.Complex.RemovableSingularity
-import Mathlib.Analysis.Calculus.SmoothSeries
+import Mathlib.Analysis.Calculus.UniformLimitsDeriv
 
 #align_import analysis.complex.locally_uniform_limit from "leanprover-community/mathlib"@"fe44cd36149e675eb5dec87acc7e8f1d6568e081"

fe44cd36

chore: split file on series of functions into two files (#9906)

Currently, the same file contains the facts that series of functions are continuous (resp. smooth) under suitable assumption. I will need the result on continuity in a file of more topological nature. To avoid importing all calculus in this file, this PR splits the file Analysis.Calculus.Series into Analysis.Calculus.SmoothSeries and Analysis.NormedSpace.FunctionSeries.

It's purely a splitting PR, no result added or removed.

a4c1d9d9

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Vincent Beffara
 -/
 import Mathlib.Analysis.Complex.RemovableSingularity
-import Mathlib.Analysis.Calculus.Series
+import Mathlib.Analysis.Calculus.SmoothSeries
 
 #align_import analysis.complex.locally_uniform_limit from "leanprover-community/mathlib"@"fe44cd36149e675eb5dec87acc7e8f1d6568e081"

fe44cd36

chore: bump to v4.3.0-rc2 (#8366)

PR contents

This is the supremum of

#8284
#8056
#8023
#8332
#8226 (already approved)
#7834 (already approved)

along with some minor fixes from failures on nightly-testing as Mathlib master is merged into it.

Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.

I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0 branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.

Lean PRs involved in this bump

In particular this includes adjustments for the Lean PRs

leanprover/lean4#2778

We can get rid of all the

local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)

macros across Mathlib (and in any projects that want to write natural number powers of reals).

leanprover/lean4#2722

Changes the default behaviour of simp to (config := {decide := false}). This makes simp (and consequentially norm_num) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp or norm_num to decide or rfl, or adding (config := {decide := true}).

leanprover/lean4#2783

This changed the behaviour of simp so that simp [f] will only unfold "fully applied" occurrences of f. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true }). We may in future add a syntax for this, e.g. simp [!f]; please provide feedback! In the meantime, we have made the following changes:

switching to using explicit lemmas that have the intended level of application
(config := { unfoldPartialApp := true }) in some places, to recover the old behaviour
Using @[eqns] to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp and Function.flip.

This change in Lean may require further changes down the line (e.g. adding the !f syntax, and/or upstreaming the special treatment for Function.comp and Function.flip, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!

Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>

40b64f79

Diff

@@ -27,8 +27,6 @@ open Set Metric MeasureTheory Filter Complex intervalIntegral
 
 open scoped Real Topology
 
-local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue lean4#2220
-
 variable {E ι : Type*} [NormedAddCommGroup E] [NormedSpace ℂ E] [CompleteSpace E] {U K : Set ℂ}
   {z : ℂ} {M r δ : ℝ} {φ : Filter ι} {F : ι → ℂ → E} {f g : ℂ → E}

fe44cd36

feat: a few lemmas on continuous functions (#7005)

Topological prerequisites for Rademacher theorem in #7003.

257d54b5

Diff

@@ -121,8 +121,7 @@ theorem tendstoUniformlyOn_deriv_of_cthickening_subset (hf : TendstoLocallyUnifo
     TendstoUniformlyOn (deriv ∘ F) (cderiv δ f) φ K := by
   have h1 : ∀ᶠ n in φ, ContinuousOn (F n) (cthickening δ K) := by
     filter_upwards [hF] with n h using h.continuousOn.mono hKU
-  have h2 : IsCompact (cthickening δ K) :=
-    isCompact_of_isClosed_bounded isClosed_cthickening hK.bounded.cthickening
+  have h2 : IsCompact (cthickening δ K) := hK.cthickening
   have h3 : TendstoUniformlyOn F f φ (cthickening δ K) :=
     (tendstoLocallyUniformlyOn_iff_forall_isCompact hU).mp hf (cthickening δ K) hKU h2
   apply (h3.cderiv hδ h1).congr

fe44cd36

field_simp: Use positivity as a discharger (#6312)

The main reasons is that having h : 0 < denom in the context should suffice for field_simp to do its job, without the need to manually pass h.ne or similar.

Quite a few have := … ≠ 0 could be dropped, and some field_simp calls no longer need explicit arguments; this is promising.

This does break some proofs where field_simp was not used as a closing tactic, and it now shuffles terms around a bit different. These were fixed. Using field_simp in the middle of a proof seems rather fragile anyways.

As a drive-by contribution, positivity now knows about π > 0.

fixes: #4835

Co-authored-by: Matthew Ballard <matt@mrb.email>

6b391efa

Diff

@@ -61,7 +61,7 @@ theorem norm_cderiv_le (hr : 0 < r) (hf : ∀ w ∈ sphere z r, ‖f w‖ ≤ M)
   have h2 := circleIntegral.norm_integral_le_of_norm_le_const hr.le h1
   simp only [cderiv, norm_smul]
   refine' (mul_le_mul le_rfl h2 (norm_nonneg _) (norm_nonneg _)).trans (le_of_eq _)
-  field_simp [_root_.abs_of_nonneg Real.pi_pos.le, Real.pi_pos.ne.symm, hr.ne.symm]
+  field_simp [_root_.abs_of_nonneg Real.pi_pos.le]
   ring
 #align complex.norm_cderiv_le Complex.norm_cderiv_le

fe44cd36

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

@@ -29,7 +29,7 @@ open scoped Real Topology
 
 local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue lean4#2220
 
-variable {E ι : Type _} [NormedAddCommGroup E] [NormedSpace ℂ E] [CompleteSpace E] {U K : Set ℂ}
+variable {E ι : Type*} [NormedAddCommGroup E] [NormedSpace ℂ E] [CompleteSpace E] {U K : Set ℂ}
   {z : ℂ} {M r δ : ℝ} {φ : Filter ι} {F : ι → ℂ → E} {f g : ℂ → E}
 
 namespace Complex

fe44cd36

chore: regularize HPow.hPow porting notes (#6465)

0f85d19f

Diff

@@ -27,7 +27,7 @@ open Set Metric MeasureTheory Filter Complex intervalIntegral
 
 open scoped Real Topology
 
-local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue #2220
+local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue lean4#2220
 
 variable {E ι : Type _} [NormedAddCommGroup E] [NormedSpace ℂ E] [CompleteSpace E] {U K : Set ℂ}
   {z : ℂ} {M r δ : ℝ} {φ : Filter ι} {F : ι → ℂ → E} {f g : ℂ → E}

fe44cd36

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Vincent Beffara. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Vincent Beffara
-
-! This file was ported from Lean 3 source module analysis.complex.locally_uniform_limit
-! leanprover-community/mathlib commit fe44cd36149e675eb5dec87acc7e8f1d6568e081
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Complex.RemovableSingularity
 import Mathlib.Analysis.Calculus.Series
 
+#align_import analysis.complex.locally_uniform_limit from "leanprover-community/mathlib"@"fe44cd36149e675eb5dec87acc7e8f1d6568e081"
+
 /-!
 # Locally uniform limits of holomorphic functions

fe44cd36

feat: add Filter.eq_or_neBot (#5230)

Also add Filter.limsup_bot, Filter.liminf_bot, and golf some proofs using new lemmas.

4574002d

Diff

@@ -99,9 +99,8 @@ theorem norm_cderiv_sub_lt (hr : 0 < r) (hfg : ∀ w ∈ sphere z r, ‖f w - g
 theorem _root_.TendstoUniformlyOn.cderiv (hF : TendstoUniformlyOn F f φ (cthickening δ K))
     (hδ : 0 < δ) (hFn : ∀ᶠ n in φ, ContinuousOn (F n) (cthickening δ K)) :
     TendstoUniformlyOn (cderiv δ ∘ F) (cderiv δ f) φ K := by
-  by_cases φ = ⊥
-  · simp only [h, TendstoUniformlyOn, eventually_bot, imp_true_iff]
-  haveI : φ.NeBot := neBot_iff.2 h
+  rcases φ.eq_or_neBot with rfl | hne
+  · simp only [TendstoUniformlyOn, eventually_bot, imp_true_iff]
   have e1 : ContinuousOn f (cthickening δ K) := TendstoUniformlyOn.continuousOn hF hFn
   rw [tendstoUniformlyOn_iff] at hF ⊢
   rintro ε hε
@@ -167,9 +166,8 @@ theorem _root_.TendstoLocallyUniformlyOn.deriv (hf : TendstoLocallyUniformlyOn F
     (hF : ∀ᶠ n in φ, DifferentiableOn ℂ (F n) U) (hU : IsOpen U) :
     TendstoLocallyUniformlyOn (deriv ∘ F) (deriv f) φ U := by
   rw [tendstoLocallyUniformlyOn_iff_forall_isCompact hU]
-  by_cases φ = ⊥
-  · simp only [h, TendstoUniformlyOn, eventually_bot, imp_true_iff]
-  haveI : φ.NeBot := neBot_iff.2 h
+  rcases φ.eq_or_neBot with rfl | hne
+  · simp only [TendstoUniformlyOn, eventually_bot, imp_true_iff]
   rintro K hKU hK
   obtain ⟨δ, hδ, hK4, h⟩ := exists_cthickening_tendstoUniformlyOn hf hF hK hU hKU
   refine' h.congr_right fun z hz => cderiv_eq_deriv hU (hf.differentiableOn hF hU) hδ _

fe44cd36

feat: port Analysis.Complex.LocallyUniformLimit (#4906)

87c0e820

`analysis.complex.locally_uniform_limit` ⟷ `Mathlib.Analysis.Complex.LocallyUniformLimit`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

PR contents

Lean PRs involved in this bump

leanprover/lean4#2778

leanprover/lean4#2722

leanprover/lean4#2783

Dependencies 12 + 1087

analysis.complex.locally_uniform_limit ⟷ Mathlib.Analysis.Complex.LocallyUniformLimit

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

PR contents

Lean PRs involved in this bump

leanprover/lean4#2778

leanprover/lean4#2722

leanprover/lean4#2783

Dependencies 12 + 1087

`analysis.complex.locally_uniform_limit` ⟷ `Mathlib.Analysis.Complex.LocallyUniformLimit`