geometry.euclidean.angle.unoriented.conformal
⟷
Mathlib.Geometry.Euclidean.Angle.Unoriented.Conformal
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.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
-/
-import Mathbin.Analysis.Calculus.Conformal.NormedSpace
-import Mathbin.Geometry.Euclidean.Angle.Unoriented.Basic
+import Analysis.Calculus.Conformal.NormedSpace
+import Geometry.Euclidean.Angle.Unoriented.Basic
#align_import geometry.euclidean.angle.unoriented.conformal from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
-
-! This file was ported from Lean 3 source module geometry.euclidean.angle.unoriented.conformal
-! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Analysis.Calculus.Conformal.NormedSpace
import Mathbin.Geometry.Euclidean.Angle.Unoriented.Basic
+#align_import geometry.euclidean.angle.unoriented.conformal from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
+
/-!
# Angles and conformal maps
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -30,13 +30,16 @@ variable [NormedAddCommGroup E] [NormedAddCommGroup F]
variable [InnerProductSpace ℝ E] [InnerProductSpace ℝ F]
+#print InnerProductGeometry.IsConformalMap.preserves_angle /-
theorem IsConformalMap.preserves_angle {f' : E →L[ℝ] F} (h : IsConformalMap f') (u v : E) :
angle (f' u) (f' v) = angle u v :=
by
obtain ⟨c, hc, li, rfl⟩ := h
exact (angle_smul_smul hc _ _).trans (li.angle_map _ _)
#align inner_product_geometry.is_conformal_map.preserves_angle InnerProductGeometry.IsConformalMap.preserves_angle
+-/
+#print InnerProductGeometry.ConformalAt.preserves_angle /-
/-- If a real differentiable map `f` is conformal at a point `x`,
then it preserves the angles at that point. -/
theorem ConformalAt.preserves_angle {f : E → F} {x : E} {f' : E →L[ℝ] F} (h : HasFDerivAt f f' x)
@@ -44,6 +47,7 @@ theorem ConformalAt.preserves_angle {f : E → F} {x : E} {f' : E →L[ℝ] F} (
let ⟨f₁, h₁, c⟩ := H
h₁.unique h ▸ IsConformalMap.preserves_angle c u v
#align inner_product_geometry.conformal_at.preserves_angle InnerProductGeometry.ConformalAt.preserves_angle
+-/
end InnerProductGeometry
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -30,9 +30,6 @@ variable [NormedAddCommGroup E] [NormedAddCommGroup F]
variable [InnerProductSpace ℝ E] [InnerProductSpace ℝ F]
-/- warning: inner_product_geometry.is_conformal_map.preserves_angle -> InnerProductGeometry.IsConformalMap.preserves_angle is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_geometry.is_conformal_map.preserves_angle InnerProductGeometry.IsConformalMap.preserves_angleₓ'. -/
theorem IsConformalMap.preserves_angle {f' : E →L[ℝ] F} (h : IsConformalMap f') (u v : E) :
angle (f' u) (f' v) = angle u v :=
by
@@ -40,9 +37,6 @@ theorem IsConformalMap.preserves_angle {f' : E →L[ℝ] F} (h : IsConformalMap
exact (angle_smul_smul hc _ _).trans (li.angle_map _ _)
#align inner_product_geometry.is_conformal_map.preserves_angle InnerProductGeometry.IsConformalMap.preserves_angle
-/- warning: inner_product_geometry.conformal_at.preserves_angle -> InnerProductGeometry.ConformalAt.preserves_angle is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align inner_product_geometry.conformal_at.preserves_angle InnerProductGeometry.ConformalAt.preserves_angleₓ'. -/
/-- If a real differentiable map `f` is conformal at a point `x`,
then it preserves the angles at that point. -/
theorem ConformalAt.preserves_angle {f : E → F} {x : E} {f' : E →L[ℝ] F} (h : HasFDerivAt f f' x)
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
! This file was ported from Lean 3 source module geometry.euclidean.angle.unoriented.conformal
-! leanprover-community/mathlib commit 46b633fd842bef9469441c0209906f6dddd2b4f5
+! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -14,6 +14,9 @@ import Mathbin.Geometry.Euclidean.Angle.Unoriented.Basic
/-!
# Angles and conformal maps
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
This file proves that conformal maps preserve angles.
-/
@@ -27,6 +30,9 @@ variable [NormedAddCommGroup E] [NormedAddCommGroup F]
variable [InnerProductSpace ℝ E] [InnerProductSpace ℝ F]
+/- warning: inner_product_geometry.is_conformal_map.preserves_angle -> InnerProductGeometry.IsConformalMap.preserves_angle is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align inner_product_geometry.is_conformal_map.preserves_angle InnerProductGeometry.IsConformalMap.preserves_angleₓ'. -/
theorem IsConformalMap.preserves_angle {f' : E →L[ℝ] F} (h : IsConformalMap f') (u v : E) :
angle (f' u) (f' v) = angle u v :=
by
@@ -34,6 +40,9 @@ theorem IsConformalMap.preserves_angle {f' : E →L[ℝ] F} (h : IsConformalMap
exact (angle_smul_smul hc _ _).trans (li.angle_map _ _)
#align inner_product_geometry.is_conformal_map.preserves_angle InnerProductGeometry.IsConformalMap.preserves_angle
+/- warning: inner_product_geometry.conformal_at.preserves_angle -> InnerProductGeometry.ConformalAt.preserves_angle is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align inner_product_geometry.conformal_at.preserves_angle InnerProductGeometry.ConformalAt.preserves_angleₓ'. -/
/-- If a real differentiable map `f` is conformal at a point `x`,
then it preserves the angles at that point. -/
theorem ConformalAt.preserves_angle {f : E → F} {x : E} {f' : E →L[ℝ] F} (h : HasFDerivAt f f' x)
mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952
@@ -36,7 +36,7 @@ theorem IsConformalMap.preserves_angle {f' : E →L[ℝ] F} (h : IsConformalMap
/-- If a real differentiable map `f` is conformal at a point `x`,
then it preserves the angles at that point. -/
-theorem ConformalAt.preserves_angle {f : E → F} {x : E} {f' : E →L[ℝ] F} (h : HasFderivAt f f' x)
+theorem ConformalAt.preserves_angle {f : E → F} {x : E} {f' : E →L[ℝ] F} (h : HasFDerivAt f f' x)
(H : ConformalAt f x) (u v : E) : angle (f' u) (f' v) = angle u v :=
let ⟨f₁, h₁, c⟩ := H
h₁.unique h ▸ IsConformalMap.preserves_angle c u v
mathlib commit https://github.com/leanprover-community/mathlib/commit/55d771df074d0dd020139ee1cd4b95521422df9f
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
! This file was ported from Lean 3 source module geometry.euclidean.angle.unoriented.conformal
-! leanprover-community/mathlib commit df78eae582aad2f545024bf6c7249191d2723074
+! leanprover-community/mathlib commit 46b633fd842bef9469441c0209906f6dddd2b4f5
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -21,10 +21,13 @@ This file proves that conformal maps preserve angles.
namespace InnerProductGeometry
-variable {V : Type _} [InnerProductSpace ℝ V]
+variable {E F : Type _}
-theorem IsConformalMap.preserves_angle {E F : Type _} [InnerProductSpace ℝ E]
- [InnerProductSpace ℝ F] {f' : E →L[ℝ] F} (h : IsConformalMap f') (u v : E) :
+variable [NormedAddCommGroup E] [NormedAddCommGroup F]
+
+variable [InnerProductSpace ℝ E] [InnerProductSpace ℝ F]
+
+theorem IsConformalMap.preserves_angle {f' : E →L[ℝ] F} (h : IsConformalMap f') (u v : E) :
angle (f' u) (f' v) = angle u v :=
by
obtain ⟨c, hc, li, rfl⟩ := h
@@ -33,9 +36,8 @@ theorem IsConformalMap.preserves_angle {E F : Type _} [InnerProductSpace ℝ E]
/-- If a real differentiable map `f` is conformal at a point `x`,
then it preserves the angles at that point. -/
-theorem ConformalAt.preserves_angle {E F : Type _} [InnerProductSpace ℝ E] [InnerProductSpace ℝ F]
- {f : E → F} {x : E} {f' : E →L[ℝ] F} (h : HasFderivAt f f' x) (H : ConformalAt f x) (u v : E) :
- angle (f' u) (f' v) = angle u v :=
+theorem ConformalAt.preserves_angle {f : E → F} {x : E} {f' : E →L[ℝ] F} (h : HasFderivAt f f' x)
+ (H : ConformalAt f x) (u v : E) : angle (f' u) (f' v) = angle u v :=
let ⟨f₁, h₁, c⟩ := H
h₁.unique h ▸ IsConformalMap.preserves_angle c u v
#align inner_product_geometry.conformal_at.preserves_angle InnerProductGeometry.ConformalAt.preserves_angle
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
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)
@@ -19,9 +19,7 @@ This file proves that conformal maps preserve angles.
namespace InnerProductGeometry
variable {E F : Type*}
-
variable [NormedAddCommGroup E] [NormedAddCommGroup F]
-
variable [InnerProductSpace ℝ E] [InnerProductSpace ℝ F]
theorem IsConformalMap.preserves_angle {f' : E →L[ℝ] F} (h : IsConformalMap f') (u v : E) :
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -18,7 +18,7 @@ This file proves that conformal maps preserve angles.
namespace InnerProductGeometry
-variable {E F : Type _}
+variable {E F : Type*}
variable [NormedAddCommGroup E] [NormedAddCommGroup F]
@@ -2,15 +2,12 @@
Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
-
-! This file was ported from Lean 3 source module geometry.euclidean.angle.unoriented.conformal
-! leanprover-community/mathlib commit 46b633fd842bef9469441c0209906f6dddd2b4f5
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Analysis.Calculus.Conformal.NormedSpace
import Mathlib.Geometry.Euclidean.Angle.Unoriented.Basic
+#align_import geometry.euclidean.angle.unoriented.conformal from "leanprover-community/mathlib"@"46b633fd842bef9469441c0209906f6dddd2b4f5"
+
/-!
# Angles and conformal maps
The unported dependencies are
algebra.order.module
init.core
linear_algebra.free_module.finite.rank
algebra.order.monoid.cancel.defs
algebra.abs
algebra.group_power.lemmas
init.data.list.basic
linear_algebra.free_module.rank
algebra.order.monoid.cancel.basic
init.data.list.default
topology.subset_properties
init.logic
The following 1 dependencies have changed in mathlib3 since they were ported, which may complicate porting this file