geometry.manifold.algebra.structures
β·
Mathlib.Geometry.Manifold.Algebra.Structures
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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(last sync)
mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -25,7 +25,7 @@ section SmoothRing
variable {π : Type _} [NontriviallyNormedField π] {H : Type _} [TopologicalSpace H] {E : Type _}
[NormedAddCommGroup E] [NormedSpace π E]
-/- ./././Mathport/Syntax/Translate/Basic.lean:339:40: warning: unsupported option default_priority -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:340:40: warning: unsupported option default_priority -/
set_option default_priority 100
#print SmoothRing /-
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,7 +3,7 @@ Copyright Β© 2020 NicolΓ² Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: NicolΓ² Cavalleri
-/
-import Mathbin.Geometry.Manifold.Algebra.LieGroup
+import Geometry.Manifold.Algebra.LieGroup
#align_import geometry.manifold.algebra.structures from "leanprover-community/mathlib"@"30faa0c3618ce1472bf6305ae0e3fa56affa3f95"
@@ -25,7 +25,7 @@ section SmoothRing
variable {π : Type _} [NontriviallyNormedField π] {H : Type _} [TopologicalSpace H] {E : Type _}
[NormedAddCommGroup E] [NormedSpace π E]
-/- ./././Mathport/Syntax/Translate/Basic.lean:334:40: warning: unsupported option default_priority -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:339:40: warning: unsupported option default_priority -/
set_option default_priority 100
#print SmoothRing /-
mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504
@@ -35,7 +35,7 @@ set_option default_priority 100
If `R` is a ring, then negation is automatically smooth, as it is multiplication with `-1`. -/
class SmoothRing (I : ModelWithCorners π E H) (R : Type _) [Semiring R] [TopologicalSpace R]
[ChartedSpace H R] extends SmoothAdd I R : Prop where
- smooth_mul : Smooth (I.Prod I) I fun p : R Γ R => p.1 * p.2
+ smooth_hMul : Smooth (I.Prod I) I fun p : R Γ R => p.1 * p.2
#align smooth_ring SmoothRing
-/
@@ -61,7 +61,7 @@ end SmoothRing
#print fieldSmoothRing /-
instance fieldSmoothRing {π : Type _} [NontriviallyNormedField π] : SmoothRing π(π) π :=
{ normedSpaceLieAddGroup with
- smooth_mul := by
+ smooth_hMul := by
rw [smooth_iff]
refine' β¨continuous_mul, fun x y => _β©
simp only [Prod.mk.eta, mfld_simps]
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright Β© 2020 NicolΓ² Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: NicolΓ² Cavalleri
-
-! This file was ported from Lean 3 source module geometry.manifold.algebra.structures
-! leanprover-community/mathlib commit 30faa0c3618ce1472bf6305ae0e3fa56affa3f95
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Geometry.Manifold.Algebra.LieGroup
+#align_import geometry.manifold.algebra.structures from "leanprover-community/mathlib"@"30faa0c3618ce1472bf6305ae0e3fa56affa3f95"
+
/-!
# Smooth structures
mathlib commit https://github.com/leanprover-community/mathlib/commit/8b981918a93bc45a8600de608cde7944a80d92b9
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: NicolΓ² Cavalleri
! This file was ported from Lean 3 source module geometry.manifold.algebra.structures
-! leanprover-community/mathlib commit d1bd9c5df2867c1cb463bc6364446d57bdd9f7f1
+! leanprover-community/mathlib commit 30faa0c3618ce1472bf6305ae0e3fa56affa3f95
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -13,6 +13,9 @@ import Mathbin.Geometry.Manifold.Algebra.LieGroup
/-!
# Smooth structures
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
In this file we define smooth structures that build on Lie groups. We prefer using the term smooth
instead of Lie mainly because Lie ring has currently another use in mathematics.
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/fdc286cc6967a012f41b87f76dcd2797b53152af
@@ -28,30 +28,37 @@ variable {π : Type _} [NontriviallyNormedField π] {H : Type _} [Topologica
/- ./././Mathport/Syntax/Translate/Basic.lean:334:40: warning: unsupported option default_priority -/
set_option default_priority 100
+#print SmoothRing /-
-- see Note [default priority]
-- See note [Design choices about smooth algebraic structures]
/-- A smooth (semi)ring is a (semi)ring `R` where addition and multiplication are smooth.
If `R` is a ring, then negation is automatically smooth, as it is multiplication with `-1`. -/
class SmoothRing (I : ModelWithCorners π E H) (R : Type _) [Semiring R] [TopologicalSpace R]
- [ChartedSpace H R] extends HasSmoothAdd I R : Prop where
+ [ChartedSpace H R] extends SmoothAdd I R : Prop where
smooth_mul : Smooth (I.Prod I) I fun p : R Γ R => p.1 * p.2
#align smooth_ring SmoothRing
+-/
-instance SmoothRing.to_hasSmoothMul (I : ModelWithCorners π E H) (R : Type _) [Semiring R]
- [TopologicalSpace R] [ChartedSpace H R] [h : SmoothRing I R] : HasSmoothMul I R :=
+#print SmoothRing.toSmoothMul /-
+instance SmoothRing.toSmoothMul (I : ModelWithCorners π E H) (R : Type _) [Semiring R]
+ [TopologicalSpace R] [ChartedSpace H R] [h : SmoothRing I R] : SmoothMul I R :=
{ h with }
-#align smooth_ring.to_has_smooth_mul SmoothRing.to_hasSmoothMul
+#align smooth_ring.to_has_smooth_mul SmoothRing.toSmoothMul
+-/
-instance SmoothRing.to_lieAddGroup (I : ModelWithCorners π E H) (R : Type _) [Ring R]
+#print SmoothRing.toLieAddGroup /-
+instance SmoothRing.toLieAddGroup (I : ModelWithCorners π E H) (R : Type _) [Ring R]
[TopologicalSpace R] [ChartedSpace H R] [SmoothRing I R] : LieAddGroup I R
where
compatible e e' := HasGroupoid.compatible (contDiffGroupoid β€ I)
smooth_add := smooth_add I
smooth_neg := by simpa only [neg_one_mul] using @smooth_mul_left π _ H _ E _ _ I R _ _ _ _ (-1)
-#align smooth_ring.to_lie_add_group SmoothRing.to_lieAddGroup
+#align smooth_ring.to_lie_add_group SmoothRing.toLieAddGroup
+-/
end SmoothRing
+#print fieldSmoothRing /-
instance fieldSmoothRing {π : Type _} [NontriviallyNormedField π] : SmoothRing π(π) π :=
{ normedSpaceLieAddGroup with
smooth_mul := by
@@ -61,13 +68,16 @@ instance fieldSmoothRing {π : Type _} [NontriviallyNormedField π] : Smooth
rw [contDiffOn_univ]
exact contDiff_mul }
#align field_smooth_ring fieldSmoothRing
+-/
variable {π R E H : Type _} [TopologicalSpace R] [TopologicalSpace H] [NontriviallyNormedField π]
[NormedAddCommGroup E] [NormedSpace π E] [ChartedSpace H R] (I : ModelWithCorners π E H)
+#print topologicalSemiring_of_smooth /-
/-- A smooth (semi)ring is a topological (semi)ring. This is not an instance for technical reasons,
see note [Design choices about smooth algebraic structures]. -/
theorem topologicalSemiring_of_smooth [Semiring R] [SmoothRing I R] : TopologicalSemiring R :=
{ continuousMul_of_smooth I, continuousAdd_of_smooth I with }
#align topological_semiring_of_smooth topologicalSemiring_of_smooth
+-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/93f880918cb51905fd51b76add8273cbc27718ab
@@ -53,7 +53,7 @@ instance SmoothRing.to_lieAddGroup (I : ModelWithCorners π E H) (R : Type _)
end SmoothRing
instance fieldSmoothRing {π : Type _} [NontriviallyNormedField π] : SmoothRing π(π) π :=
- { normedSpace_lieAddGroup with
+ { normedSpaceLieAddGroup with
smooth_mul := by
rw [smooth_iff]
refine' β¨continuous_mul, fun x y => _β©
mathlib commit https://github.com/leanprover-community/mathlib/commit/93f880918cb51905fd51b76add8273cbc27718ab
@@ -37,23 +37,23 @@ class SmoothRing (I : ModelWithCorners π E H) (R : Type _) [Semiring R] [Topo
smooth_mul : Smooth (I.Prod I) I fun p : R Γ R => p.1 * p.2
#align smooth_ring SmoothRing
-instance SmoothRing.toHasSmoothMul (I : ModelWithCorners π E H) (R : Type _) [Semiring R]
+instance SmoothRing.to_hasSmoothMul (I : ModelWithCorners π E H) (R : Type _) [Semiring R]
[TopologicalSpace R] [ChartedSpace H R] [h : SmoothRing I R] : HasSmoothMul I R :=
{ h with }
-#align smooth_ring.to_has_smooth_mul SmoothRing.toHasSmoothMul
+#align smooth_ring.to_has_smooth_mul SmoothRing.to_hasSmoothMul
-instance SmoothRing.toLieAddGroup (I : ModelWithCorners π E H) (R : Type _) [Ring R]
+instance SmoothRing.to_lieAddGroup (I : ModelWithCorners π E H) (R : Type _) [Ring R]
[TopologicalSpace R] [ChartedSpace H R] [SmoothRing I R] : LieAddGroup I R
where
compatible e e' := HasGroupoid.compatible (contDiffGroupoid β€ I)
smooth_add := smooth_add I
smooth_neg := by simpa only [neg_one_mul] using @smooth_mul_left π _ H _ E _ _ I R _ _ _ _ (-1)
-#align smooth_ring.to_lie_add_group SmoothRing.toLieAddGroup
+#align smooth_ring.to_lie_add_group SmoothRing.to_lieAddGroup
end SmoothRing
instance fieldSmoothRing {π : Type _} [NontriviallyNormedField π] : SmoothRing π(π) π :=
- { normedSpaceLieAddGroup with
+ { normedSpace_lieAddGroup with
smooth_mul := by
rw [smooth_iff]
refine' β¨continuous_mul, fun x y => _β©
@@ -68,6 +68,6 @@ variable {π R E H : Type _} [TopologicalSpace R] [TopologicalSpace H] [Nontri
/-- A smooth (semi)ring is a topological (semi)ring. This is not an instance for technical reasons,
see note [Design choices about smooth algebraic structures]. -/
theorem topologicalSemiring_of_smooth [Semiring R] [SmoothRing I R] : TopologicalSemiring R :=
- { continuousMul_of_smooth I, has_continuous_add_of_smooth I with }
+ { continuousMul_of_smooth I, continuousAdd_of_smooth I with }
#align topological_semiring_of_smooth topologicalSemiring_of_smooth
mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb
@@ -33,7 +33,7 @@ set_option default_priority 100
/-- A smooth (semi)ring is a (semi)ring `R` where addition and multiplication are smooth.
If `R` is a ring, then negation is automatically smooth, as it is multiplication with `-1`. -/
class SmoothRing (I : ModelWithCorners π E H) (R : Type _) [Semiring R] [TopologicalSpace R]
- [ChartedSpace H R] extends HasSmoothAdd I R : Prop where
+ [ChartedSpace H R] extends HasSmoothAdd I R : Prop where
smooth_mul : Smooth (I.Prod I) I fun p : R Γ R => p.1 * p.2
#align smooth_ring SmoothRing
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -18,7 +18,7 @@ instead of Lie mainly because Lie ring has currently another use in mathematics.
-/
-open Manifold
+open scoped Manifold
section SmoothRing
mathlib commit https://github.com/leanprover-community/mathlib/commit/c9236f47f5b9df573443aa499c0d3968769628b7
@@ -37,30 +37,30 @@ class SmoothRing (I : ModelWithCorners π E H) (R : Type _) [Semiring R] [Topo
smooth_mul : Smooth (I.Prod I) I fun p : R Γ R => p.1 * p.2
#align smooth_ring SmoothRing
-instance SmoothRing.to_hasSmoothMul (I : ModelWithCorners π E H) (R : Type _) [Semiring R]
+instance SmoothRing.toHasSmoothMul (I : ModelWithCorners π E H) (R : Type _) [Semiring R]
[TopologicalSpace R] [ChartedSpace H R] [h : SmoothRing I R] : HasSmoothMul I R :=
{ h with }
-#align smooth_ring.to_has_smooth_mul SmoothRing.to_hasSmoothMul
+#align smooth_ring.to_has_smooth_mul SmoothRing.toHasSmoothMul
-instance SmoothRing.to_lieAddGroup (I : ModelWithCorners π E H) (R : Type _) [Ring R]
+instance SmoothRing.toLieAddGroup (I : ModelWithCorners π E H) (R : Type _) [Ring R]
[TopologicalSpace R] [ChartedSpace H R] [SmoothRing I R] : LieAddGroup I R
where
compatible e e' := HasGroupoid.compatible (contDiffGroupoid β€ I)
smooth_add := smooth_add I
smooth_neg := by simpa only [neg_one_mul] using @smooth_mul_left π _ H _ E _ _ I R _ _ _ _ (-1)
-#align smooth_ring.to_lie_add_group SmoothRing.to_lieAddGroup
+#align smooth_ring.to_lie_add_group SmoothRing.toLieAddGroup
end SmoothRing
-instance field_smoothRing {π : Type _} [NontriviallyNormedField π] : SmoothRing π(π) π :=
- { normedSpace_lieAddGroup with
+instance fieldSmoothRing {π : Type _} [NontriviallyNormedField π] : SmoothRing π(π) π :=
+ { normedSpaceLieAddGroup with
smooth_mul := by
rw [smooth_iff]
refine' β¨continuous_mul, fun x y => _β©
simp only [Prod.mk.eta, mfld_simps]
rw [contDiffOn_univ]
exact contDiff_mul }
-#align field_smooth_ring field_smoothRing
+#align field_smooth_ring fieldSmoothRing
variable {π R E H : Type _} [TopologicalSpace R] [TopologicalSpace H] [NontriviallyNormedField π]
[NormedAddCommGroup E] [NormedSpace π E] [ChartedSpace H R] (I : ModelWithCorners π E H)
mathlib commit https://github.com/leanprover-community/mathlib/commit/21e3562c5e12d846c7def5eff8cdbc520d7d4936
@@ -37,30 +37,30 @@ class SmoothRing (I : ModelWithCorners π E H) (R : Type _) [Semiring R] [Topo
smooth_mul : Smooth (I.Prod I) I fun p : R Γ R => p.1 * p.2
#align smooth_ring SmoothRing
-instance SmoothRing.toHasSmoothMul (I : ModelWithCorners π E H) (R : Type _) [Semiring R]
+instance SmoothRing.to_hasSmoothMul (I : ModelWithCorners π E H) (R : Type _) [Semiring R]
[TopologicalSpace R] [ChartedSpace H R] [h : SmoothRing I R] : HasSmoothMul I R :=
{ h with }
-#align smooth_ring.to_has_smooth_mul SmoothRing.toHasSmoothMul
+#align smooth_ring.to_has_smooth_mul SmoothRing.to_hasSmoothMul
-instance SmoothRing.toLieAddGroup (I : ModelWithCorners π E H) (R : Type _) [Ring R]
+instance SmoothRing.to_lieAddGroup (I : ModelWithCorners π E H) (R : Type _) [Ring R]
[TopologicalSpace R] [ChartedSpace H R] [SmoothRing I R] : LieAddGroup I R
where
compatible e e' := HasGroupoid.compatible (contDiffGroupoid β€ I)
smooth_add := smooth_add I
smooth_neg := by simpa only [neg_one_mul] using @smooth_mul_left π _ H _ E _ _ I R _ _ _ _ (-1)
-#align smooth_ring.to_lie_add_group SmoothRing.toLieAddGroup
+#align smooth_ring.to_lie_add_group SmoothRing.to_lieAddGroup
end SmoothRing
-instance fieldSmoothRing {π : Type _} [NontriviallyNormedField π] : SmoothRing π(π) π :=
- { normedSpaceLieAddGroup with
+instance field_smoothRing {π : Type _} [NontriviallyNormedField π] : SmoothRing π(π) π :=
+ { normedSpace_lieAddGroup with
smooth_mul := by
rw [smooth_iff]
refine' β¨continuous_mul, fun x y => _β©
simp only [Prod.mk.eta, mfld_simps]
rw [contDiffOn_univ]
exact contDiff_mul }
-#align field_smooth_ring fieldSmoothRing
+#align field_smooth_ring field_smoothRing
variable {π R E H : Type _} [TopologicalSpace R] [TopologicalSpace H] [NontriviallyNormedField π]
[NormedAddCommGroup E] [NormedSpace π E] [ChartedSpace H R] (I : ModelWithCorners π E H)
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -53,7 +53,7 @@ instance (priority := 100) fieldSmoothRing {π : Type*} [NontriviallyNormedFie
smooth_mul := by
rw [smooth_iff]
refine' β¨continuous_mul, fun x y => _β©
- simp only [Prod.mk.eta, mfld_simps]
+ simp only [mfld_simps]
rw [contDiffOn_univ]
exact contDiff_mul }
#align field_smooth_ring fieldSmoothRing
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -18,26 +18,26 @@ open scoped Manifold
section SmoothRing
-variable {π : Type _} [NontriviallyNormedField π] {H : Type _} [TopologicalSpace H] {E : Type _}
+variable {π : Type*} [NontriviallyNormedField π] {H : Type*} [TopologicalSpace H] {E : Type*}
[NormedAddCommGroup E] [NormedSpace π E]
-- See note [Design choices about smooth algebraic structures]
/-- A smooth (semi)ring is a (semi)ring `R` where addition and multiplication are smooth.
If `R` is a ring, then negation is automatically smooth, as it is multiplication with `-1`. -/
-class SmoothRing (I : ModelWithCorners π E H) (R : Type _) [Semiring R] [TopologicalSpace R]
+class SmoothRing (I : ModelWithCorners π E H) (R : Type*) [Semiring R] [TopologicalSpace R]
[ChartedSpace H R] extends SmoothAdd I R : Prop where
smooth_mul : Smooth (I.prod I) I fun p : R Γ R => p.1 * p.2
#align smooth_ring SmoothRing
-- see Note [lower instance priority]
-instance (priority := 100) SmoothRing.toSmoothMul (I : ModelWithCorners π E H) (R : Type _)
+instance (priority := 100) SmoothRing.toSmoothMul (I : ModelWithCorners π E H) (R : Type*)
[Semiring R] [TopologicalSpace R] [ChartedSpace H R] [h : SmoothRing I R] :
SmoothMul I R :=
{ h with }
#align smooth_ring.to_has_smooth_mul SmoothRing.toSmoothMul
-- see Note [lower instance priority]
-instance (priority := 100) SmoothRing.toLieAddGroup (I : ModelWithCorners π E H) (R : Type _)
+instance (priority := 100) SmoothRing.toLieAddGroup (I : ModelWithCorners π E H) (R : Type*)
[Ring R] [TopologicalSpace R] [ChartedSpace H R] [SmoothRing I R] : LieAddGroup I R where
compatible := StructureGroupoid.compatible (contDiffGroupoid β€ I)
smooth_add := smooth_add I
@@ -47,7 +47,7 @@ instance (priority := 100) SmoothRing.toLieAddGroup (I : ModelWithCorners π E
end SmoothRing
-- see Note [lower instance priority]
-instance (priority := 100) fieldSmoothRing {π : Type _} [NontriviallyNormedField π] :
+instance (priority := 100) fieldSmoothRing {π : Type*} [NontriviallyNormedField π] :
SmoothRing π(π) π :=
{ normedSpaceLieAddGroup with
smooth_mul := by
@@ -58,7 +58,7 @@ instance (priority := 100) fieldSmoothRing {π : Type _} [NontriviallyNormedFi
exact contDiff_mul }
#align field_smooth_ring fieldSmoothRing
-variable {π R E H : Type _} [TopologicalSpace R] [TopologicalSpace H] [NontriviallyNormedField π]
+variable {π R E H : Type*} [TopologicalSpace R] [TopologicalSpace H] [NontriviallyNormedField π]
[NormedAddCommGroup E] [NormedSpace π E] [ChartedSpace H R] (I : ModelWithCorners π E H)
/-- A smooth (semi)ring is a topological (semi)ring. This is not an instance for technical reasons,
@@ -2,14 +2,11 @@
Copyright Β© 2020 NicolΓ² Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: NicolΓ² Cavalleri
-
-! This file was ported from Lean 3 source module geometry.manifold.algebra.structures
-! leanprover-community/mathlib commit d1bd9c5df2867c1cb463bc6364446d57bdd9f7f1
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Geometry.Manifold.Algebra.LieGroup
+#align_import geometry.manifold.algebra.structures from "leanprover-community/mathlib"@"d1bd9c5df2867c1cb463bc6364446d57bdd9f7f1"
+
/-!
# Smooth structures
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