dynamics.fixed_points.topologyMathlib.Dynamics.FixedPoints.Topology

This file has been ported!

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.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Johannes Hölzl
 -/
-import Mathbin.Dynamics.FixedPoints.Basic
-import Mathbin.Topology.Separation
+import Dynamics.FixedPoints.Basic
+import Topology.Separation
 
 #align_import dynamics.fixed_points.topology from "leanprover-community/mathlib"@"4c19a16e4b705bf135cf9a80ac18fcc99c438514"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Johannes Hölzl
-
-! This file was ported from Lean 3 source module dynamics.fixed_points.topology
-! leanprover-community/mathlib commit 4c19a16e4b705bf135cf9a80ac18fcc99c438514
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Dynamics.FixedPoints.Basic
 import Mathbin.Topology.Separation
 
+#align_import dynamics.fixed_points.topology from "leanprover-community/mathlib"@"4c19a16e4b705bf135cf9a80ac18fcc99c438514"
+
 /-!
 # Topological properties of fixed points
 
Diff
@@ -32,7 +32,7 @@ variable {α : Type _} [TopologicalSpace α] [T2Space α] {f : α → α}
 
 open Function Filter
 
-open Topology
+open scoped Topology
 
 #print isFixedPt_of_tendsto_iterate /-
 /-- If the iterates `f^[n] x` converge to `y` and `f` is continuous at `y`,

Changes in mathlib4

mathlib3
mathlib4
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.

Diff
@@ -22,7 +22,7 @@ fixed points, iterates
 -/
 
 
-variable {α : Type _} [TopologicalSpace α] [T2Space α] {f : α → α}
+variable {α : Type*} [TopologicalSpace α] [T2Space α] {f : α → α}
 
 open Function Filter
 
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Johannes Hölzl
-
-! This file was ported from Lean 3 source module dynamics.fixed_points.topology
-! leanprover-community/mathlib commit d90e4e186f1d18e375dcd4e5b5f6364b01cb3e46
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Dynamics.FixedPoints.Basic
 import Mathlib.Topology.Separation
 
+#align_import dynamics.fixed_points.topology from "leanprover-community/mathlib"@"d90e4e186f1d18e375dcd4e5b5f6364b01cb3e46"
+
 /-!
 # Topological properties of fixed points
 
fix precedence of Nat.iterate (#5589)
Diff
@@ -33,7 +33,7 @@ open Topology
 
 /-- If the iterates `f^[n] x` converge to `y` and `f` is continuous at `y`,
 then `y` is a fixed point for `f`. -/
-theorem isFixedPt_of_tendsto_iterate {x y : α} (hy : Tendsto (fun n => (f^[n]) x) atTop (𝓝 y))
+theorem isFixedPt_of_tendsto_iterate {x y : α} (hy : Tendsto (fun n => f^[n] x) atTop (𝓝 y))
     (hf : ContinuousAt f y) : IsFixedPt f y := by
   refine' tendsto_nhds_unique ((tendsto_add_atTop_iff_nat 1).1 _) hy
   simp only [iterate_succ' f]
@@ -44,4 +44,3 @@ theorem isFixedPt_of_tendsto_iterate {x y : α} (hy : Tendsto (fun n => (f^[n])
 theorem isClosed_fixedPoints (hf : Continuous f) : IsClosed (fixedPoints f) :=
   isClosed_eq hf continuous_id
 #align is_closed_fixed_points isClosed_fixedPoints
-
feat: Port Dynamics.FixedPoints.Topology (#2023)

Only renaming.

Dependencies 8 + 304

305 files ported (97.4%)
133294 lines ported (96.4%)
Show graph

The unported dependencies are