topology.algebra.order.filter
⟷
Mathlib.Topology.Algebra.Order.Filter
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) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
-import Mathbin.Topology.Order.Basic
-import Mathbin.Topology.Filter
+import Topology.Order.Basic
+import Topology.Filter
#align_import topology.algebra.order.filter from "leanprover-community/mathlib"@"ad0089aca372256fe53dde13ca0dfea569bf5ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2022 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 topology.algebra.order.filter
-! leanprover-community/mathlib commit ad0089aca372256fe53dde13ca0dfea569bf5ac7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Topology.Order.Basic
import Mathbin.Topology.Filter
+#align_import topology.algebra.order.filter from "leanprover-community/mathlib"@"ad0089aca372256fe53dde13ca0dfea569bf5ac7"
+
/-!
# Topology on filters of a space with order topology
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -28,23 +28,31 @@ namespace Filter
variable {α X : Type _} [TopologicalSpace X] [PartialOrder X] [OrderTopology X]
+#print Filter.tendsto_nhds_atTop /-
protected theorem tendsto_nhds_atTop [NoMaxOrder X] : Tendsto 𝓝 (atTop : Filter X) (𝓝 atTop) :=
Filter.tendsto_nhds_atTop_iff.2 fun x => (eventually_gt_atTop x).mono fun y => le_mem_nhds
#align filter.tendsto_nhds_at_top Filter.tendsto_nhds_atTop
+-/
+#print Filter.tendsto_nhds_atBot /-
protected theorem tendsto_nhds_atBot [NoMinOrder X] : Tendsto 𝓝 (atBot : Filter X) (𝓝 atBot) :=
@Filter.tendsto_nhds_atTop Xᵒᵈ _ _ _ _
#align filter.tendsto_nhds_at_bot Filter.tendsto_nhds_atBot
+-/
+#print Filter.Tendsto.nhds_atTop /-
theorem Tendsto.nhds_atTop [NoMaxOrder X] {f : α → X} {l : Filter α} (h : Tendsto f l atTop) :
Tendsto (𝓝 ∘ f) l (𝓝 atTop) :=
Filter.tendsto_nhds_atTop.comp h
#align filter.tendsto.nhds_at_top Filter.Tendsto.nhds_atTop
+-/
+#print Filter.Tendsto.nhds_atBot /-
theorem Tendsto.nhds_atBot [NoMinOrder X] {f : α → X} {l : Filter α} (h : Tendsto f l atBot) :
Tendsto (𝓝 ∘ f) l (𝓝 atBot) :=
@Tendsto.nhds_atTop α Xᵒᵈ _ _ _ _ _ _ h
#align filter.tendsto.nhds_at_bot Filter.Tendsto.nhds_atBot
+-/
end Filter
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -22,7 +22,7 @@ In this file we prove that `𝓝 (f x)` tends to `𝓝 filter.at_top` provided t
-/
-open Topology
+open scoped Topology
namespace Filter
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -28,43 +28,19 @@ namespace Filter
variable {α X : Type _} [TopologicalSpace X] [PartialOrder X] [OrderTopology X]
-/- warning: filter.tendsto_nhds_at_top -> Filter.tendsto_nhds_atTop is a dubious translation:
-lean 3 declaration is
- forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : PartialOrder.{u1} X] [_inst_3 : OrderTopology.{u1} X _inst_1 (PartialOrder.toPreorder.{u1} X _inst_2)] [_inst_4 : NoMaxOrder.{u1} X (Preorder.toHasLt.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2))], Filter.Tendsto.{u1, u1} X (Filter.{u1} X) (nhds.{u1} X _inst_1) (Filter.atTop.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)) (nhds.{u1} (Filter.{u1} X) (Filter.topologicalSpace.{u1} X) (Filter.atTop.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)))
-but is expected to have type
- forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : PartialOrder.{u1} X] [_inst_3 : OrderTopology.{u1} X _inst_1 (PartialOrder.toPreorder.{u1} X _inst_2)] [_inst_4 : NoMaxOrder.{u1} X (Preorder.toLT.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2))], Filter.Tendsto.{u1, u1} X (Filter.{u1} X) (nhds.{u1} X _inst_1) (Filter.atTop.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)) (nhds.{u1} (Filter.{u1} X) (Filter.instTopologicalSpaceFilter.{u1} X) (Filter.atTop.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)))
-Case conversion may be inaccurate. Consider using '#align filter.tendsto_nhds_at_top Filter.tendsto_nhds_atTopₓ'. -/
protected theorem tendsto_nhds_atTop [NoMaxOrder X] : Tendsto 𝓝 (atTop : Filter X) (𝓝 atTop) :=
Filter.tendsto_nhds_atTop_iff.2 fun x => (eventually_gt_atTop x).mono fun y => le_mem_nhds
#align filter.tendsto_nhds_at_top Filter.tendsto_nhds_atTop
-/- warning: filter.tendsto_nhds_at_bot -> Filter.tendsto_nhds_atBot is a dubious translation:
-lean 3 declaration is
- forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : PartialOrder.{u1} X] [_inst_3 : OrderTopology.{u1} X _inst_1 (PartialOrder.toPreorder.{u1} X _inst_2)] [_inst_4 : NoMinOrder.{u1} X (Preorder.toHasLt.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2))], Filter.Tendsto.{u1, u1} X (Filter.{u1} X) (nhds.{u1} X _inst_1) (Filter.atBot.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)) (nhds.{u1} (Filter.{u1} X) (Filter.topologicalSpace.{u1} X) (Filter.atBot.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)))
-but is expected to have type
- forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : PartialOrder.{u1} X] [_inst_3 : OrderTopology.{u1} X _inst_1 (PartialOrder.toPreorder.{u1} X _inst_2)] [_inst_4 : NoMinOrder.{u1} X (Preorder.toLT.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2))], Filter.Tendsto.{u1, u1} X (Filter.{u1} X) (nhds.{u1} X _inst_1) (Filter.atBot.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)) (nhds.{u1} (Filter.{u1} X) (Filter.instTopologicalSpaceFilter.{u1} X) (Filter.atBot.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)))
-Case conversion may be inaccurate. Consider using '#align filter.tendsto_nhds_at_bot Filter.tendsto_nhds_atBotₓ'. -/
protected theorem tendsto_nhds_atBot [NoMinOrder X] : Tendsto 𝓝 (atBot : Filter X) (𝓝 atBot) :=
@Filter.tendsto_nhds_atTop Xᵒᵈ _ _ _ _
#align filter.tendsto_nhds_at_bot Filter.tendsto_nhds_atBot
-/- warning: filter.tendsto.nhds_at_top -> Filter.Tendsto.nhds_atTop is a dubious translation:
-lean 3 declaration is
- forall {α : Type.{u1}} {X : Type.{u2}} [_inst_1 : TopologicalSpace.{u2} X] [_inst_2 : PartialOrder.{u2} X] [_inst_3 : OrderTopology.{u2} X _inst_1 (PartialOrder.toPreorder.{u2} X _inst_2)] [_inst_4 : NoMaxOrder.{u2} X (Preorder.toHasLt.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))] {f : α -> X} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, u2} α X f l (Filter.atTop.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))) -> (Filter.Tendsto.{u1, u2} α (Filter.{u2} X) (Function.comp.{succ u1, succ u2, succ u2} α X (Filter.{u2} X) (nhds.{u2} X _inst_1) f) l (nhds.{u2} (Filter.{u2} X) (Filter.topologicalSpace.{u2} X) (Filter.atTop.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))))
-but is expected to have type
- forall {α : Type.{u1}} {X : Type.{u2}} [_inst_1 : TopologicalSpace.{u2} X] [_inst_2 : PartialOrder.{u2} X] [_inst_3 : OrderTopology.{u2} X _inst_1 (PartialOrder.toPreorder.{u2} X _inst_2)] [_inst_4 : NoMaxOrder.{u2} X (Preorder.toLT.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))] {f : α -> X} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, u2} α X f l (Filter.atTop.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))) -> (Filter.Tendsto.{u1, u2} α (Filter.{u2} X) (Function.comp.{succ u1, succ u2, succ u2} α X (Filter.{u2} X) (nhds.{u2} X _inst_1) f) l (nhds.{u2} (Filter.{u2} X) (Filter.instTopologicalSpaceFilter.{u2} X) (Filter.atTop.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))))
-Case conversion may be inaccurate. Consider using '#align filter.tendsto.nhds_at_top Filter.Tendsto.nhds_atTopₓ'. -/
theorem Tendsto.nhds_atTop [NoMaxOrder X] {f : α → X} {l : Filter α} (h : Tendsto f l atTop) :
Tendsto (𝓝 ∘ f) l (𝓝 atTop) :=
Filter.tendsto_nhds_atTop.comp h
#align filter.tendsto.nhds_at_top Filter.Tendsto.nhds_atTop
-/- warning: filter.tendsto.nhds_at_bot -> Filter.Tendsto.nhds_atBot is a dubious translation:
-lean 3 declaration is
- forall {α : Type.{u1}} {X : Type.{u2}} [_inst_1 : TopologicalSpace.{u2} X] [_inst_2 : PartialOrder.{u2} X] [_inst_3 : OrderTopology.{u2} X _inst_1 (PartialOrder.toPreorder.{u2} X _inst_2)] [_inst_4 : NoMinOrder.{u2} X (Preorder.toHasLt.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))] {f : α -> X} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, u2} α X f l (Filter.atBot.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))) -> (Filter.Tendsto.{u1, u2} α (Filter.{u2} X) (Function.comp.{succ u1, succ u2, succ u2} α X (Filter.{u2} X) (nhds.{u2} X _inst_1) f) l (nhds.{u2} (Filter.{u2} X) (Filter.topologicalSpace.{u2} X) (Filter.atBot.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))))
-but is expected to have type
- forall {α : Type.{u1}} {X : Type.{u2}} [_inst_1 : TopologicalSpace.{u2} X] [_inst_2 : PartialOrder.{u2} X] [_inst_3 : OrderTopology.{u2} X _inst_1 (PartialOrder.toPreorder.{u2} X _inst_2)] [_inst_4 : NoMinOrder.{u2} X (Preorder.toLT.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))] {f : α -> X} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, u2} α X f l (Filter.atBot.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))) -> (Filter.Tendsto.{u1, u2} α (Filter.{u2} X) (Function.comp.{succ u1, succ u2, succ u2} α X (Filter.{u2} X) (nhds.{u2} X _inst_1) f) l (nhds.{u2} (Filter.{u2} X) (Filter.instTopologicalSpaceFilter.{u2} X) (Filter.atBot.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))))
-Case conversion may be inaccurate. Consider using '#align filter.tendsto.nhds_at_bot Filter.Tendsto.nhds_atBotₓ'. -/
theorem Tendsto.nhds_atBot [NoMinOrder X] {f : α → X} {l : Filter α} (h : Tendsto f l atBot) :
Tendsto (𝓝 ∘ f) l (𝓝 atBot) :=
@Tendsto.nhds_atTop α Xᵒᵈ _ _ _ _ _ _ h
mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8
@@ -30,7 +30,7 @@ variable {α X : Type _} [TopologicalSpace X] [PartialOrder X] [OrderTopology X]
/- warning: filter.tendsto_nhds_at_top -> Filter.tendsto_nhds_atTop is a dubious translation:
lean 3 declaration is
- forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : PartialOrder.{u1} X] [_inst_3 : OrderTopology.{u1} X _inst_1 (PartialOrder.toPreorder.{u1} X _inst_2)] [_inst_4 : NoMaxOrder.{u1} X (Preorder.toLT.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2))], Filter.Tendsto.{u1, u1} X (Filter.{u1} X) (nhds.{u1} X _inst_1) (Filter.atTop.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)) (nhds.{u1} (Filter.{u1} X) (Filter.topologicalSpace.{u1} X) (Filter.atTop.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)))
+ forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : PartialOrder.{u1} X] [_inst_3 : OrderTopology.{u1} X _inst_1 (PartialOrder.toPreorder.{u1} X _inst_2)] [_inst_4 : NoMaxOrder.{u1} X (Preorder.toHasLt.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2))], Filter.Tendsto.{u1, u1} X (Filter.{u1} X) (nhds.{u1} X _inst_1) (Filter.atTop.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)) (nhds.{u1} (Filter.{u1} X) (Filter.topologicalSpace.{u1} X) (Filter.atTop.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)))
but is expected to have type
forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : PartialOrder.{u1} X] [_inst_3 : OrderTopology.{u1} X _inst_1 (PartialOrder.toPreorder.{u1} X _inst_2)] [_inst_4 : NoMaxOrder.{u1} X (Preorder.toLT.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2))], Filter.Tendsto.{u1, u1} X (Filter.{u1} X) (nhds.{u1} X _inst_1) (Filter.atTop.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)) (nhds.{u1} (Filter.{u1} X) (Filter.instTopologicalSpaceFilter.{u1} X) (Filter.atTop.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)))
Case conversion may be inaccurate. Consider using '#align filter.tendsto_nhds_at_top Filter.tendsto_nhds_atTopₓ'. -/
@@ -40,7 +40,7 @@ protected theorem tendsto_nhds_atTop [NoMaxOrder X] : Tendsto 𝓝 (atTop : Filt
/- warning: filter.tendsto_nhds_at_bot -> Filter.tendsto_nhds_atBot is a dubious translation:
lean 3 declaration is
- forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : PartialOrder.{u1} X] [_inst_3 : OrderTopology.{u1} X _inst_1 (PartialOrder.toPreorder.{u1} X _inst_2)] [_inst_4 : NoMinOrder.{u1} X (Preorder.toLT.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2))], Filter.Tendsto.{u1, u1} X (Filter.{u1} X) (nhds.{u1} X _inst_1) (Filter.atBot.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)) (nhds.{u1} (Filter.{u1} X) (Filter.topologicalSpace.{u1} X) (Filter.atBot.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)))
+ forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : PartialOrder.{u1} X] [_inst_3 : OrderTopology.{u1} X _inst_1 (PartialOrder.toPreorder.{u1} X _inst_2)] [_inst_4 : NoMinOrder.{u1} X (Preorder.toHasLt.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2))], Filter.Tendsto.{u1, u1} X (Filter.{u1} X) (nhds.{u1} X _inst_1) (Filter.atBot.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)) (nhds.{u1} (Filter.{u1} X) (Filter.topologicalSpace.{u1} X) (Filter.atBot.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)))
but is expected to have type
forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : PartialOrder.{u1} X] [_inst_3 : OrderTopology.{u1} X _inst_1 (PartialOrder.toPreorder.{u1} X _inst_2)] [_inst_4 : NoMinOrder.{u1} X (Preorder.toLT.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2))], Filter.Tendsto.{u1, u1} X (Filter.{u1} X) (nhds.{u1} X _inst_1) (Filter.atBot.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)) (nhds.{u1} (Filter.{u1} X) (Filter.instTopologicalSpaceFilter.{u1} X) (Filter.atBot.{u1} X (PartialOrder.toPreorder.{u1} X _inst_2)))
Case conversion may be inaccurate. Consider using '#align filter.tendsto_nhds_at_bot Filter.tendsto_nhds_atBotₓ'. -/
@@ -50,7 +50,7 @@ protected theorem tendsto_nhds_atBot [NoMinOrder X] : Tendsto 𝓝 (atBot : Filt
/- warning: filter.tendsto.nhds_at_top -> Filter.Tendsto.nhds_atTop is a dubious translation:
lean 3 declaration is
- forall {α : Type.{u1}} {X : Type.{u2}} [_inst_1 : TopologicalSpace.{u2} X] [_inst_2 : PartialOrder.{u2} X] [_inst_3 : OrderTopology.{u2} X _inst_1 (PartialOrder.toPreorder.{u2} X _inst_2)] [_inst_4 : NoMaxOrder.{u2} X (Preorder.toLT.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))] {f : α -> X} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, u2} α X f l (Filter.atTop.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))) -> (Filter.Tendsto.{u1, u2} α (Filter.{u2} X) (Function.comp.{succ u1, succ u2, succ u2} α X (Filter.{u2} X) (nhds.{u2} X _inst_1) f) l (nhds.{u2} (Filter.{u2} X) (Filter.topologicalSpace.{u2} X) (Filter.atTop.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))))
+ forall {α : Type.{u1}} {X : Type.{u2}} [_inst_1 : TopologicalSpace.{u2} X] [_inst_2 : PartialOrder.{u2} X] [_inst_3 : OrderTopology.{u2} X _inst_1 (PartialOrder.toPreorder.{u2} X _inst_2)] [_inst_4 : NoMaxOrder.{u2} X (Preorder.toHasLt.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))] {f : α -> X} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, u2} α X f l (Filter.atTop.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))) -> (Filter.Tendsto.{u1, u2} α (Filter.{u2} X) (Function.comp.{succ u1, succ u2, succ u2} α X (Filter.{u2} X) (nhds.{u2} X _inst_1) f) l (nhds.{u2} (Filter.{u2} X) (Filter.topologicalSpace.{u2} X) (Filter.atTop.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))))
but is expected to have type
forall {α : Type.{u1}} {X : Type.{u2}} [_inst_1 : TopologicalSpace.{u2} X] [_inst_2 : PartialOrder.{u2} X] [_inst_3 : OrderTopology.{u2} X _inst_1 (PartialOrder.toPreorder.{u2} X _inst_2)] [_inst_4 : NoMaxOrder.{u2} X (Preorder.toLT.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))] {f : α -> X} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, u2} α X f l (Filter.atTop.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))) -> (Filter.Tendsto.{u1, u2} α (Filter.{u2} X) (Function.comp.{succ u1, succ u2, succ u2} α X (Filter.{u2} X) (nhds.{u2} X _inst_1) f) l (nhds.{u2} (Filter.{u2} X) (Filter.instTopologicalSpaceFilter.{u2} X) (Filter.atTop.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))))
Case conversion may be inaccurate. Consider using '#align filter.tendsto.nhds_at_top Filter.Tendsto.nhds_atTopₓ'. -/
@@ -61,7 +61,7 @@ theorem Tendsto.nhds_atTop [NoMaxOrder X] {f : α → X} {l : Filter α} (h : Te
/- warning: filter.tendsto.nhds_at_bot -> Filter.Tendsto.nhds_atBot is a dubious translation:
lean 3 declaration is
- forall {α : Type.{u1}} {X : Type.{u2}} [_inst_1 : TopologicalSpace.{u2} X] [_inst_2 : PartialOrder.{u2} X] [_inst_3 : OrderTopology.{u2} X _inst_1 (PartialOrder.toPreorder.{u2} X _inst_2)] [_inst_4 : NoMinOrder.{u2} X (Preorder.toLT.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))] {f : α -> X} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, u2} α X f l (Filter.atBot.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))) -> (Filter.Tendsto.{u1, u2} α (Filter.{u2} X) (Function.comp.{succ u1, succ u2, succ u2} α X (Filter.{u2} X) (nhds.{u2} X _inst_1) f) l (nhds.{u2} (Filter.{u2} X) (Filter.topologicalSpace.{u2} X) (Filter.atBot.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))))
+ forall {α : Type.{u1}} {X : Type.{u2}} [_inst_1 : TopologicalSpace.{u2} X] [_inst_2 : PartialOrder.{u2} X] [_inst_3 : OrderTopology.{u2} X _inst_1 (PartialOrder.toPreorder.{u2} X _inst_2)] [_inst_4 : NoMinOrder.{u2} X (Preorder.toHasLt.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))] {f : α -> X} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, u2} α X f l (Filter.atBot.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))) -> (Filter.Tendsto.{u1, u2} α (Filter.{u2} X) (Function.comp.{succ u1, succ u2, succ u2} α X (Filter.{u2} X) (nhds.{u2} X _inst_1) f) l (nhds.{u2} (Filter.{u2} X) (Filter.topologicalSpace.{u2} X) (Filter.atBot.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))))
but is expected to have type
forall {α : Type.{u1}} {X : Type.{u2}} [_inst_1 : TopologicalSpace.{u2} X] [_inst_2 : PartialOrder.{u2} X] [_inst_3 : OrderTopology.{u2} X _inst_1 (PartialOrder.toPreorder.{u2} X _inst_2)] [_inst_4 : NoMinOrder.{u2} X (Preorder.toLT.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))] {f : α -> X} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, u2} α X f l (Filter.atBot.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))) -> (Filter.Tendsto.{u1, u2} α (Filter.{u2} X) (Function.comp.{succ u1, succ u2, succ u2} α X (Filter.{u2} X) (nhds.{u2} X _inst_1) f) l (nhds.{u2} (Filter.{u2} X) (Filter.instTopologicalSpaceFilter.{u2} X) (Filter.atBot.{u2} X (PartialOrder.toPreorder.{u2} X _inst_2))))
Case conversion may be inaccurate. Consider using '#align filter.tendsto.nhds_at_bot Filter.Tendsto.nhds_atBotₓ'. -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Move files from Topology.Algebra.Order
to Topology.Order
when they do not contain any algebra. Also move Topology.LocalExtr
to Topology.Order.LocalExtr
.
According to git, the moves are:
Mathlib/Topology/{Algebra => }/Order/ExtendFrom.lean
Mathlib/Topology/{Algebra => }/Order/ExtrClosure.lean
Mathlib/Topology/{Algebra => }/Order/Filter.lean
Mathlib/Topology/{Algebra => }/Order/IntermediateValue.lean
Mathlib/Topology/{Algebra => }/Order/LeftRight.lean
Mathlib/Topology/{Algebra => }/Order/LeftRightLim.lean
Mathlib/Topology/{Algebra => }/Order/MonotoneContinuity.lean
Mathlib/Topology/{Algebra => }/Order/MonotoneConvergence.lean
Mathlib/Topology/{Algebra => }/Order/ProjIcc.lean
Mathlib/Topology/{Algebra => }/Order/T5.lean
Mathlib/Topology/{ => Order}/LocalExtr.lean
@@ -3,8 +3,8 @@ Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
-import Mathlib.Topology.Order.Basic
import Mathlib.Topology.Filter
+import Mathlib.Topology.Order.Basic
#align_import topology.algebra.order.filter from "leanprover-community/mathlib"@"98e83c3d541c77cdb7da20d79611a780ff8e7d90"
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -20,7 +20,7 @@ open Topology
namespace Filter
-variable {α X : Type _} [TopologicalSpace X] [PartialOrder X] [OrderTopology X]
+variable {α X : Type*} [TopologicalSpace X] [PartialOrder X] [OrderTopology X]
protected theorem tendsto_nhds_atTop [NoMaxOrder X] : Tendsto 𝓝 (atTop : Filter X) (𝓝 atTop) :=
Filter.tendsto_nhds_atTop_iff.2 fun x => (eventually_gt_atTop x).mono fun _ => le_mem_nhds
@@ -2,15 +2,12 @@
Copyright (c) 2022 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 topology.algebra.order.filter
-! leanprover-community/mathlib commit 98e83c3d541c77cdb7da20d79611a780ff8e7d90
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Topology.Order.Basic
import Mathlib.Topology.Filter
+#align_import topology.algebra.order.filter from "leanprover-community/mathlib"@"98e83c3d541c77cdb7da20d79611a780ff8e7d90"
+
/-!
# Topology on filters of a space with order topology
The unported dependencies are