analysis.normed.group.completion
⟷
Mathlib.Analysis.Normed.Group.Completion
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
@@ -3,9 +3,9 @@ Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
-import Mathbin.Analysis.Normed.Group.Basic
-import Mathbin.Topology.Algebra.GroupCompletion
-import Mathbin.Topology.MetricSpace.Completion
+import Analysis.Normed.Group.Basic
+import Topology.Algebra.GroupCompletion
+import Topology.MetricSpace.Completion
#align_import analysis.normed.group.completion from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,16 +2,13 @@
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module analysis.normed.group.completion
-! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Analysis.Normed.Group.Basic
import Mathbin.Topology.Algebra.GroupCompletion
import Mathbin.Topology.MetricSpace.Completion
+#align_import analysis.normed.group.completion from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
+
/-!
# Completion of a normed group
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -37,10 +37,12 @@ variable (E : Type _)
instance [UniformSpace E] [Norm E] : Norm (Completion E)
where norm := Completion.extension Norm.norm
+#print UniformSpace.Completion.norm_coe /-
@[simp]
theorem norm_coe {E} [SeminormedAddCommGroup E] (x : E) : ‖(x : Completion E)‖ = ‖x‖ :=
Completion.extension_coe uniformContinuous_norm x
#align uniform_space.completion.norm_coe UniformSpace.Completion.norm_coe
+-/
instance [SeminormedAddCommGroup E] : NormedAddCommGroup (Completion E) :=
{ Completion.addCommGroup, Completion.instMetricSpace with
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -37,12 +37,6 @@ variable (E : Type _)
instance [UniformSpace E] [Norm E] : Norm (Completion E)
where norm := Completion.extension Norm.norm
-/- warning: uniform_space.completion.norm_coe -> UniformSpace.Completion.norm_coe is a dubious translation:
-lean 3 declaration is
- forall {E : Type.{u1}} [_inst_1 : SeminormedAddCommGroup.{u1} E] (x : E), Eq.{1} Real (Norm.norm.{u1} (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))) (UniformSpace.Completion.hasNorm.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1)) (SeminormedAddCommGroup.toHasNorm.{u1} E _inst_1)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) E (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))) (HasLiftT.mk.{succ u1, succ u1} E (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))) (CoeTCₓ.coe.{succ u1, succ u1} E (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))) (UniformSpace.Completion.hasCoeT.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))))) x)) (Norm.norm.{u1} E (SeminormedAddCommGroup.toHasNorm.{u1} E _inst_1) x)
-but is expected to have type
- forall {E : Type.{u1}} [_inst_1 : SeminormedAddCommGroup.{u1} E] (x : E), Eq.{1} Real (Norm.norm.{u1} (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))) (UniformSpace.Completion.instNormCompletion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1)) (SeminormedAddCommGroup.toNorm.{u1} E _inst_1)) (UniformSpace.Completion.coe'.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1)) x)) (Norm.norm.{u1} E (SeminormedAddCommGroup.toNorm.{u1} E _inst_1) x)
-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.norm_coe UniformSpace.Completion.norm_coeₓ'. -/
@[simp]
theorem norm_coe {E} [SeminormedAddCommGroup E] (x : E) : ‖(x : Completion E)‖ = ‖x‖ :=
Completion.extension_coe uniformContinuous_norm x
mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e
@@ -49,7 +49,7 @@ theorem norm_coe {E} [SeminormedAddCommGroup E] (x : E) : ‖(x : Completion E)
#align uniform_space.completion.norm_coe UniformSpace.Completion.norm_coe
instance [SeminormedAddCommGroup E] : NormedAddCommGroup (Completion E) :=
- { Completion.addCommGroup, Completion.metricSpace with
+ { Completion.addCommGroup, Completion.instMetricSpace with
dist_eq := by
intro x y
apply completion.induction_on₂ x y <;> clear x y
mathlib commit https://github.com/leanprover-community/mathlib/commit/2196ab363eb097c008d4497125e0dde23fb36db2
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
! This file was ported from Lean 3 source module analysis.normed.group.completion
-! leanprover-community/mathlib commit 17ef379e997badd73e5eabb4d38f11919ab3c4b3
+! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
! 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.MetricSpace.Completion
/-!
# Completion of a normed group
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
In this file we prove that the completion of a (semi)normed group is a normed group.
## Tags
mathlib commit https://github.com/leanprover-community/mathlib/commit/ddec54a71a0dd025c05445d467f1a2b7d586a3ba
@@ -34,6 +34,12 @@ variable (E : Type _)
instance [UniformSpace E] [Norm E] : Norm (Completion E)
where norm := Completion.extension Norm.norm
+/- warning: uniform_space.completion.norm_coe -> UniformSpace.Completion.norm_coe is a dubious translation:
+lean 3 declaration is
+ forall {E : Type.{u1}} [_inst_1 : SeminormedAddCommGroup.{u1} E] (x : E), Eq.{1} Real (Norm.norm.{u1} (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))) (UniformSpace.Completion.hasNorm.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1)) (SeminormedAddCommGroup.toHasNorm.{u1} E _inst_1)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) E (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))) (HasLiftT.mk.{succ u1, succ u1} E (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))) (CoeTCₓ.coe.{succ u1, succ u1} E (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))) (UniformSpace.Completion.hasCoeT.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))))) x)) (Norm.norm.{u1} E (SeminormedAddCommGroup.toHasNorm.{u1} E _inst_1) x)
+but is expected to have type
+ forall {E : Type.{u1}} [_inst_1 : SeminormedAddCommGroup.{u1} E] (x : E), Eq.{1} Real (Norm.norm.{u1} (UniformSpace.Completion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1))) (UniformSpace.Completion.instNormCompletion.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1)) (SeminormedAddCommGroup.toNorm.{u1} E _inst_1)) (UniformSpace.Completion.coe'.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_1)) x)) (Norm.norm.{u1} E (SeminormedAddCommGroup.toNorm.{u1} E _inst_1) x)
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.norm_coe UniformSpace.Completion.norm_coeₓ'. -/
@[simp]
theorem norm_coe {E} [SeminormedAddCommGroup E] (x : E) : ‖(x : Completion E)‖ = ‖x‖ :=
Completion.extension_coe uniformContinuous_norm x
mathlib commit https://github.com/leanprover-community/mathlib/commit/21e3562c5e12d846c7def5eff8cdbc520d7d4936
@@ -31,8 +31,8 @@ namespace Completion
variable (E : Type _)
-instance [UniformSpace E] [HasNorm E] : HasNorm (Completion E)
- where norm := Completion.extension HasNorm.norm
+instance [UniformSpace E] [Norm E] : Norm (Completion E)
+ where norm := Completion.extension Norm.norm
@[simp]
theorem norm_coe {E} [SeminormedAddCommGroup E] (x : E) : ‖(x : Completion E)‖ = ‖x‖ :=
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -26,7 +26,7 @@ namespace UniformSpace
namespace Completion
-variable (E : Type _)
+variable (E : Type*)
instance [UniformSpace E] [Norm E] : Norm (Completion E) where
norm := Completion.extension Norm.norm
@@ -2,16 +2,13 @@
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module analysis.normed.group.completion
-! leanprover-community/mathlib commit 17ef379e997badd73e5eabb4d38f11919ab3c4b3
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Analysis.Normed.Group.Basic
import Mathlib.Topology.Algebra.GroupCompletion
import Mathlib.Topology.MetricSpace.Completion
+#align_import analysis.normed.group.completion from "leanprover-community/mathlib"@"17ef379e997badd73e5eabb4d38f11919ab3c4b3"
+
/-!
# Completion of a normed group
The unported dependencies are
algebra.order.module
init.core
algebra.order.monoid.cancel.defs
algebra.abs
algebra.group_power.lemmas
init.data.list.basic
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