geometry.manifold.complex | Mathlib porting status

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

9240e8be

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -5,7 +5,7 @@ Authors: Heather Macbeth
 -/
 import Analysis.Complex.AbsMax
 import Analysis.LocallyConvex.WithSeminorms
-import Geometry.Manifold.Mfderiv
+import Geometry.Manifold.MFDeriv.Defs
 import Topology.LocallyConstant.Basic
 
 #align_import geometry.manifold.complex from "leanprover-community/mathlib"@"9240e8be927a0955b9a82c6c85ef499ee3a626b8"

9240e8be

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -93,7 +93,7 @@ protected theorem isLocallyConstant {f : M → F} (hf : MDifferentiable 𝓘(ℂ
     have H₁ : (chart_at E p).symm z ∈ (chart_at E p).source := (chart_at E p).map_target hz
     have H₂ : f ((chart_at E p).symm z) ∈ (chart_at F (0 : F)).source := trivial
     have H := (mdifferentiableAt_iff_of_mem_source H₁ H₂).mp (hf ((chart_at E p).symm z))
-    simp only [differentiableWithinAt_univ, mfld_simps] at H 
+    simp only [differentiableWithinAt_univ, mfld_simps] at H
     simpa [PartialHomeomorph.right_inv _ hz] using H.2
   -- `f` pulled back by the chart at `p` has a local max at `chart_at E p p`
   have hf'' : IsLocalMax (norm ∘ f ∘ (chart_at E p).symm) (chart_at E p p) :=

9240e8be

bump to nightly-2023-12-13-12

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

19154cfe

Diff

@@ -85,7 +85,7 @@ protected theorem isLocallyConstant {f : M → F} (hf : MDifferentiable 𝓘(ℂ
     rw [← Filter.mem_map, (chart_at E p).symm_map_nhds_eq (mem_chart_source E p)]
     exact hps'
   have key₂ : (chart_at E p).target ∈ 𝓝 (chart_at E p p) :=
-    (LocalHomeomorph.open_target _).mem_nhds (mem_chart_target E p)
+    (PartialHomeomorph.open_target _).mem_nhds (mem_chart_target E p)
   -- `f` pulled back by the chart at `p` is differentiable around `chart_at E p p`
   have hf' : ∀ᶠ z : E in 𝓝 (chart_at E p p), DifferentiableAt ℂ (f ∘ (chart_at E p).symm) z :=
     by
@@ -94,22 +94,22 @@ protected theorem isLocallyConstant {f : M → F} (hf : MDifferentiable 𝓘(ℂ
     have H₂ : f ((chart_at E p).symm z) ∈ (chart_at F (0 : F)).source := trivial
     have H := (mdifferentiableAt_iff_of_mem_source H₁ H₂).mp (hf ((chart_at E p).symm z))
     simp only [differentiableWithinAt_univ, mfld_simps] at H 
-    simpa [LocalHomeomorph.right_inv _ hz] using H.2
+    simpa [PartialHomeomorph.right_inv _ hz] using H.2
   -- `f` pulled back by the chart at `p` has a local max at `chart_at E p p`
   have hf'' : IsLocalMax (norm ∘ f ∘ (chart_at E p).symm) (chart_at E p p) :=
     by
     refine' Filter.eventually_of_mem key₁ fun z hz => _
     refine' (hp₀ ((chart_at E p).symm z) hz).trans (_ : ‖f p₀‖ ≤ ‖f _‖)
-    rw [← hp, LocalHomeomorph.left_inv _ (mem_chart_source E p)]
+    rw [← hp, PartialHomeomorph.left_inv _ (mem_chart_source E p)]
   -- so by the maximum principle `f` is equal to `f p` near `p`
   obtain ⟨U, hU, hUf⟩ := (Complex.eventually_eq_of_isLocalMax_norm hf' hf'').exists_mem
   have H₁ : chart_at E p ⁻¹' U ∈ 𝓝 p := (chart_at E p).ContinuousAt (mem_chart_source E p) hU
   have H₂ : (chart_at E p).source ∈ 𝓝 p :=
-    (LocalHomeomorph.open_source _).mem_nhds (mem_chart_source E p)
+    (PartialHomeomorph.open_source _).mem_nhds (mem_chart_source E p)
   apply Filter.mem_of_superset (Filter.inter_mem hps' (Filter.inter_mem H₁ H₂))
   rintro q ⟨hqs, hq : chart_at E p q ∈ _, hq'⟩
   refine' ⟨_, hqs⟩
-  simpa [LocalHomeomorph.left_inv _ hq', hp, -norm_eq_abs] using hUf (chart_at E p q) hq
+  simpa [PartialHomeomorph.left_inv _ hq', hp, -norm_eq_abs] using hUf (chart_at E p q) hq
 #align mdifferentiable.is_locally_constant MDifferentiable.isLocallyConstant
 -/

9240e8be

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,10 +3,10 @@ Copyright (c) 2022 Heather Macbeth. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Heather Macbeth
 -/
-import Mathbin.Analysis.Complex.AbsMax
-import Mathbin.Analysis.LocallyConvex.WithSeminorms
-import Mathbin.Geometry.Manifold.Mfderiv
-import Mathbin.Topology.LocallyConstant.Basic
+import Analysis.Complex.AbsMax
+import Analysis.LocallyConvex.WithSeminorms
+import Geometry.Manifold.Mfderiv
+import Topology.LocallyConstant.Basic
 
 #align_import geometry.manifold.complex from "leanprover-community/mathlib"@"9240e8be927a0955b9a82c6c85ef499ee3a626b8"

9240e8be

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Heather Macbeth. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Heather Macbeth
-
-! This file was ported from Lean 3 source module geometry.manifold.complex
-! leanprover-community/mathlib commit 9240e8be927a0955b9a82c6c85ef499ee3a626b8
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Complex.AbsMax
 import Mathbin.Analysis.LocallyConvex.WithSeminorms
 import Mathbin.Geometry.Manifold.Mfderiv
 import Mathbin.Topology.LocallyConstant.Basic
 
+#align_import geometry.manifold.complex from "leanprover-community/mathlib"@"9240e8be927a0955b9a82c6c85ef499ee3a626b8"
+
 /-! # Holomorphic functions on complex manifolds
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.

9240e8be

bump to nightly-2023-06-30-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/9240e8be927a0955b9a82c6c85ef499ee3a626b8

397a8f48

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Heather Macbeth
 
 ! This file was ported from Lean 3 source module geometry.manifold.complex
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! leanprover-community/mathlib commit 9240e8be927a0955b9a82c6c85ef499ee3a626b8
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Topology.LocallyConstant.Basic
 
 /-! # Holomorphic functions on complex manifolds
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Thanks to the rigidity of complex-differentiability compared to real-differentiability, there are
 many results about complex manifolds with no analogue for manifolds over a general normed field. For
 now, this file contains just two (closely related) such results:

f2ce6086

bump to nightly-2023-06-28-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/8b981918a93bc45a8600de608cde7944a80d92b9

c13c40e8

Diff

@@ -55,6 +55,7 @@ variable {F : Type _} [NormedAddCommGroup F] [NormedSpace ℂ F] [StrictConvexSp
 variable {M : Type _} [TopologicalSpace M] [CompactSpace M] [ChartedSpace E M]
   [SmoothManifoldWithCorners 𝓘(ℂ, E) M]
 
+#print MDifferentiable.isLocallyConstant /-
 /-- A holomorphic function on a compact complex manifold is locally constant. -/
 protected theorem isLocallyConstant {f : M → F} (hf : MDifferentiable 𝓘(ℂ, E) 𝓘(ℂ, F) f) :
     IsLocallyConstant f :=
@@ -110,19 +111,24 @@ protected theorem isLocallyConstant {f : M → F} (hf : MDifferentiable 𝓘(ℂ
   refine' ⟨_, hqs⟩
   simpa [LocalHomeomorph.left_inv _ hq', hp, -norm_eq_abs] using hUf (chart_at E p q) hq
 #align mdifferentiable.is_locally_constant MDifferentiable.isLocallyConstant
+-/
 
+#print MDifferentiable.apply_eq_of_compactSpace /-
 /-- A holomorphic function on a compact connected complex manifold is constant. -/
 theorem apply_eq_of_compactSpace [PreconnectedSpace M] {f : M → F}
     (hf : MDifferentiable 𝓘(ℂ, E) 𝓘(ℂ, F) f) (a b : M) : f a = f b :=
   hf.IsLocallyConstant.apply_eq_of_preconnectedSpace _ _
 #align mdifferentiable.apply_eq_of_compact_space MDifferentiable.apply_eq_of_compactSpace
+-/
 
+#print MDifferentiable.exists_eq_const_of_compactSpace /-
 /-- A holomorphic function on a compact connected complex manifold is the constant function `f ≡ v`,
 for some value `v`. -/
 theorem exists_eq_const_of_compactSpace [PreconnectedSpace M] {f : M → F}
     (hf : MDifferentiable 𝓘(ℂ, E) 𝓘(ℂ, F) f) : ∃ v : F, f = Function.const M v :=
   hf.IsLocallyConstant.exists_eq_const
 #align mdifferentiable.exists_eq_const_of_compact_space MDifferentiable.exists_eq_const_of_compactSpace
+-/
 
 end MDifferentiable

f2ce6086

bump to nightly-2023-06-26-23

mathlib commit https://github.com/leanprover-community/mathlib/commit/fdc286cc6967a012f41b87f76dcd2797b53152af

406df7f6

Diff

@@ -46,7 +46,7 @@ open scoped Manifold Topology
 
 open Complex
 
-namespace Mdifferentiable
+namespace MDifferentiable
 
 variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℂ E]
 
@@ -56,7 +56,7 @@ variable {M : Type _} [TopologicalSpace M] [CompactSpace M] [ChartedSpace E M]
   [SmoothManifoldWithCorners 𝓘(ℂ, E) M]
 
 /-- A holomorphic function on a compact complex manifold is locally constant. -/
-protected theorem isLocallyConstant {f : M → F} (hf : Mdifferentiable 𝓘(ℂ, E) 𝓘(ℂ, F) f) :
+protected theorem isLocallyConstant {f : M → F} (hf : MDifferentiable 𝓘(ℂ, E) 𝓘(ℂ, F) f) :
     IsLocallyConstant f :=
   by
   haveI : LocallyConnectedSpace M := ChartedSpace.locallyConnectedSpace E M
@@ -109,20 +109,20 @@ protected theorem isLocallyConstant {f : M → F} (hf : Mdifferentiable 𝓘(ℂ
   rintro q ⟨hqs, hq : chart_at E p q ∈ _, hq'⟩
   refine' ⟨_, hqs⟩
   simpa [LocalHomeomorph.left_inv _ hq', hp, -norm_eq_abs] using hUf (chart_at E p q) hq
-#align mdifferentiable.is_locally_constant Mdifferentiable.isLocallyConstant
+#align mdifferentiable.is_locally_constant MDifferentiable.isLocallyConstant
 
 /-- A holomorphic function on a compact connected complex manifold is constant. -/
 theorem apply_eq_of_compactSpace [PreconnectedSpace M] {f : M → F}
-    (hf : Mdifferentiable 𝓘(ℂ, E) 𝓘(ℂ, F) f) (a b : M) : f a = f b :=
+    (hf : MDifferentiable 𝓘(ℂ, E) 𝓘(ℂ, F) f) (a b : M) : f a = f b :=
   hf.IsLocallyConstant.apply_eq_of_preconnectedSpace _ _
-#align mdifferentiable.apply_eq_of_compact_space Mdifferentiable.apply_eq_of_compactSpace
+#align mdifferentiable.apply_eq_of_compact_space MDifferentiable.apply_eq_of_compactSpace
 
 /-- A holomorphic function on a compact connected complex manifold is the constant function `f ≡ v`,
 for some value `v`. -/
 theorem exists_eq_const_of_compactSpace [PreconnectedSpace M] {f : M → F}
-    (hf : Mdifferentiable 𝓘(ℂ, E) 𝓘(ℂ, F) f) : ∃ v : F, f = Function.const M v :=
+    (hf : MDifferentiable 𝓘(ℂ, E) 𝓘(ℂ, F) f) : ∃ v : F, f = Function.const M v :=
   hf.IsLocallyConstant.exists_eq_const
-#align mdifferentiable.exists_eq_const_of_compact_space Mdifferentiable.exists_eq_const_of_compactSpace
+#align mdifferentiable.exists_eq_const_of_compact_space MDifferentiable.exists_eq_const_of_compactSpace
 
-end Mdifferentiable
+end MDifferentiable

f2ce6086

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -69,7 +69,7 @@ protected theorem isLocallyConstant {f : M → F} (hf : Mdifferentiable 𝓘(ℂ
   -- otherwise, let `p₀` be a point where the value of `f` has maximal norm
   obtain ⟨p₀, hp₀s, hp₀⟩ := hs₁.exists_forall_ge hs' hf.continuous.norm.continuous_on
   -- we will show `f` agrees everywhere with `f p₀`
-  suffices s ⊆ { r : M | f r = f p₀ } ∩ s by exact (this hb).1.trans (this ha).1.symm;
+  suffices s ⊆ {r : M | f r = f p₀} ∩ s by exact (this hb).1.trans (this ha).1.symm;
   clear ha hb a b
   refine' hs₂.subset_clopen _ ⟨p₀, hp₀s, ⟨rfl, hp₀s⟩⟩
   -- closedness of the set of points sent to `f p₀`

f2ce6086

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -92,7 +92,7 @@ protected theorem isLocallyConstant {f : M → F} (hf : Mdifferentiable 𝓘(ℂ
     have H₁ : (chart_at E p).symm z ∈ (chart_at E p).source := (chart_at E p).map_target hz
     have H₂ : f ((chart_at E p).symm z) ∈ (chart_at F (0 : F)).source := trivial
     have H := (mdifferentiableAt_iff_of_mem_source H₁ H₂).mp (hf ((chart_at E p).symm z))
-    simp only [differentiableWithinAt_univ, mfld_simps] at H
+    simp only [differentiableWithinAt_univ, mfld_simps] at H 
     simpa [LocalHomeomorph.right_inv _ hz] using H.2
   -- `f` pulled back by the chart at `p` has a local max at `chart_at E p p`
   have hf'' : IsLocalMax (norm ∘ f ∘ (chart_at E p).symm) (chart_at E p p) :=

f2ce6086

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -42,7 +42,7 @@ stalks, such as the Weierstrass preparation theorem.
 -/
 
 
-open Manifold Topology
+open scoped Manifold Topology
 
 open Complex

f2ce6086

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -69,7 +69,7 @@ protected theorem isLocallyConstant {f : M → F} (hf : Mdifferentiable 𝓘(ℂ
   -- otherwise, let `p₀` be a point where the value of `f` has maximal norm
   obtain ⟨p₀, hp₀s, hp₀⟩ := hs₁.exists_forall_ge hs' hf.continuous.norm.continuous_on
   -- we will show `f` agrees everywhere with `f p₀`
-  suffices s ⊆ { r : M | f r = f p₀ } ∩ s by exact (this hb).1.trans (this ha).1.symm
+  suffices s ⊆ { r : M | f r = f p₀ } ∩ s by exact (this hb).1.trans (this ha).1.symm;
   clear ha hb a b
   refine' hs₂.subset_clopen _ ⟨p₀, hp₀s, ⟨rfl, hp₀s⟩⟩
   -- closedness of the set of points sent to `f p₀`

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(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -42,11 +42,8 @@ open scoped Manifold Topology Filter
 open Function Set Filter Complex
 
 variable {E : Type*} [NormedAddCommGroup E] [NormedSpace ℂ E]
-
 variable {F : Type*} [NormedAddCommGroup F] [NormedSpace ℂ F]
-
 variable {H : Type*} [TopologicalSpace H] {I : ModelWithCorners ℂ E H} [I.Boundaryless]
-
 variable {M : Type*} [TopologicalSpace M] [CompactSpace M] [ChartedSpace H M]
   [SmoothManifoldWithCorners I M]

f2ce6086

chore: prepare Lean version bump with explicit simp (#10999)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

38bce757

Diff

@@ -74,7 +74,7 @@ theorem Complex.norm_eventually_eq_of_mdifferentiableAt_of_isLocalMax {f : M →
     exact hy₂.2
   convert norm_eventually_eq_of_isLocalMax hd _
   · exact congr_arg f (extChartAt_to_inv _ _).symm
-  · simpa only [IsLocalMax, IsMaxFilter, ← H₂, (· ∘ ·), extChartAt_to_inv] using hc
+  · simpa only [e, IsLocalMax, IsMaxFilter, ← H₂, (· ∘ ·), extChartAt_to_inv] using hc
 
 /-!
 ### Functions holomorphic on a set

f2ce6086

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

@@ -59,14 +59,14 @@ theorem Complex.norm_eventually_eq_of_mdifferentiableAt_of_isLocalMax {f : M →
   set e := extChartAt I c
   have hI : range I = univ := ModelWithCorners.Boundaryless.range_eq_univ
   have H₁ : 𝓝[range I] (e c) = 𝓝 (e c) := by rw [hI, nhdsWithin_univ]
-  have H₂ : map e.symm (𝓝 (e c)) = 𝓝 c
-  · rw [← map_extChartAt_symm_nhdsWithin_range I c, H₁]
+  have H₂ : map e.symm (𝓝 (e c)) = 𝓝 c := by
+    rw [← map_extChartAt_symm_nhdsWithin_range I c, H₁]
   rw [← H₂, eventually_map]
-  replace hd : ∀ᶠ y in 𝓝 (e c), DifferentiableAt ℂ (f ∘ e.symm) y
-  · have : e.target ∈ 𝓝 (e c) := H₁ ▸ extChartAt_target_mem_nhdsWithin I c
+  replace hd : ∀ᶠ y in 𝓝 (e c), DifferentiableAt ℂ (f ∘ e.symm) y := by
+    have : e.target ∈ 𝓝 (e c) := H₁ ▸ extChartAt_target_mem_nhdsWithin I c
     filter_upwards [this, Tendsto.eventually H₂.le hd] with y hyt hy₂
-    have hys : e.symm y ∈ (chartAt H c).source
-    · rw [← extChartAt_source I c]
+    have hys : e.symm y ∈ (chartAt H c).source := by
+      rw [← extChartAt_source I c]
       exact (extChartAt I c).map_target hyt
     have hfy : f (e.symm y) ∈ (chartAt F (0 : F)).source := mem_univ _
     rw [mdifferentiableAt_iff_of_mem_source hys hfy, hI, differentiableWithinAt_univ,
@@ -89,9 +89,9 @@ theorem norm_eqOn_of_isPreconnected_of_isMaxOn {f : M → F} {U : Set M} {c : M}
     (hd : MDifferentiableOn I 𝓘(ℂ, F) f U) (hc : IsPreconnected U) (ho : IsOpen U)
     (hcU : c ∈ U) (hm : IsMaxOn (norm ∘ f) U c) : EqOn (norm ∘ f) (const M ‖f c‖) U := by
   set V := {z ∈ U | ‖f z‖ = ‖f c‖}
-  suffices : U ⊆ V; exact fun x hx => (this hx).2
-  have hVo : IsOpen V
-  · refine isOpen_iff_mem_nhds.2 fun x hx ↦ inter_mem (ho.mem_nhds hx.1) ?_
+  suffices U ⊆ V from fun x hx ↦ (this hx).2
+  have hVo : IsOpen V := by
+    refine isOpen_iff_mem_nhds.2 fun x hx ↦ inter_mem (ho.mem_nhds hx.1) ?_
     replace hm : IsLocalMax (‖f ·‖) x :=
       mem_of_superset (ho.mem_nhds hx.1) fun z hz ↦ (hm hz).out.trans_eq hx.2.symm
     replace hd : ∀ᶠ y in 𝓝 x, MDifferentiableAt I 𝓘(ℂ, F) f y :=

f2ce6086

chore: move Geometry/Manifold/MFDeriv (#9588)

To preserve most git history when splitting the file in #9565.

42d8e66e

Diff

@@ -5,7 +5,7 @@ Authors: Heather Macbeth
 -/
 import Mathlib.Analysis.Complex.AbsMax
 import Mathlib.Analysis.LocallyConvex.WithSeminorms
-import Mathlib.Geometry.Manifold.MFDeriv
+import Mathlib.Geometry.Manifold.MFDeriv.Basic
 import Mathlib.Topology.LocallyConstant.Basic
 
 #align_import geometry.manifold.complex from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"

f2ce6086

chore: rename lemmas containing "of_open" to match the naming convention (#8229)

Mostly, this means replacing "of_open" by "of_isOpen". A few lemmas names were misleading and are corrected differently. Zulip discussion.

8b8aaa21

Diff

@@ -100,7 +100,7 @@ theorem norm_eqOn_of_isPreconnected_of_isMaxOn {f : M → F} {U : Set M} {c : M}
       (Eq.trans · hx.2)
   have hVne : (U ∩ V).Nonempty := ⟨c, hcU, hcU, rfl⟩
   set W := U ∩ {z | ‖f z‖ = ‖f c‖}ᶜ
-  have hWo : IsOpen W := hd.continuousOn.norm.preimage_open_of_open ho isOpen_ne
+  have hWo : IsOpen W := hd.continuousOn.norm.isOpen_inter_preimage ho isOpen_ne
   have hdVW : Disjoint V W := disjoint_compl_right.mono inf_le_right inf_le_right
   have hUVW : U ⊆ V ∪ W := fun x hx => (eq_or_ne ‖f x‖ ‖f c‖).imp (.intro hx) (.intro hx)
   exact hc.subset_left_of_subset_union hVo hWo hdVW hUVW hVne

f2ce6086

chore: exactly 4 spaces in theorems (#7328)

Co-authored-by: Moritz Firsching <firsching@google.com>

d3263b23

Diff

@@ -124,8 +124,8 @@ theorem eqOn_of_isPreconnected_of_isMaxOn_norm [StrictConvexSpace ℝ F] {f : M
 /-- If a function `f : M → F` from a complex manifold to a complex normed space is holomorphic on a
 (pre)connected compact open set, then it is a constant on this set. -/
 theorem apply_eq_of_isPreconnected_isCompact_isOpen {f : M → F} {U : Set M} {a b : M}
-     (hd : MDifferentiableOn I 𝓘(ℂ, F) f U) (hpc : IsPreconnected U) (hc : IsCompact U)
-     (ho : IsOpen U) (ha : a ∈ U) (hb : b ∈ U) : f a = f b := by
+    (hd : MDifferentiableOn I 𝓘(ℂ, F) f U) (hpc : IsPreconnected U) (hc : IsCompact U)
+    (ho : IsOpen U) (ha : a ∈ U) (hb : b ∈ U) : f a = f b := by
   refine ?_
   -- Subtract `f b` to avoid the assumption `[StrictConvexSpace ℝ F]`
   wlog hb₀ : f b = 0 generalizing f

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

@@ -41,13 +41,13 @@ stalks, such as the Weierstrass preparation theorem.
 open scoped Manifold Topology Filter
 open Function Set Filter Complex
 
-variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℂ E]
+variable {E : Type*} [NormedAddCommGroup E] [NormedSpace ℂ E]
 
-variable {F : Type _} [NormedAddCommGroup F] [NormedSpace ℂ F]
+variable {F : Type*} [NormedAddCommGroup F] [NormedSpace ℂ F]
 
-variable {H : Type _} [TopologicalSpace H] {I : ModelWithCorners ℂ E H} [I.Boundaryless]
+variable {H : Type*} [TopologicalSpace H] {I : ModelWithCorners ℂ E H} [I.Boundaryless]
 
-variable {M : Type _} [TopologicalSpace M] [CompactSpace M] [ChartedSpace H M]
+variable {M : Type*} [TopologicalSpace M] [CompactSpace M] [ChartedSpace H M]
   [SmoothManifoldWithCorners I M]
 
 /-- **Maximum modulus principle**: if `f : M → F` is complex differentiable in a neighborhood of `c`

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

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Heather Macbeth. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Heather Macbeth
-
-! This file was ported from Lean 3 source module geometry.manifold.complex
-! 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.Complex.AbsMax
 import Mathlib.Analysis.LocallyConvex.WithSeminorms
 import Mathlib.Geometry.Manifold.MFDeriv
 import Mathlib.Topology.LocallyConstant.Basic
 
+#align_import geometry.manifold.complex from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"
+
 /-! # Holomorphic functions on complex manifolds
 
 Thanks to the rigidity of complex-differentiability compared to real-differentiability, there are

f2ce6086

feat: port Geometry.Manifold.Complex (#5498)

87f75bd0

`geometry.manifold.complex` ⟷ `Mathlib.Geometry.Manifold.Complex`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 1100

geometry.manifold.complex ⟷ Mathlib.Geometry.Manifold.Complex

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 1100

`geometry.manifold.complex` ⟷ `Mathlib.Geometry.Manifold.Complex`