topology.continuous_function.locally_constant
⟷
Mathlib.Topology.ContinuousFunction.LocallyConstant
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 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
-import Mathbin.Topology.LocallyConstant.Algebra
-import Mathbin.Topology.ContinuousFunction.Basic
-import Mathbin.Topology.ContinuousFunction.Algebra
+import Topology.LocallyConstant.Algebra
+import Topology.ContinuousFunction.Basic
+import Topology.ContinuousFunction.Algebra
#align_import topology.continuous_function.locally_constant from "leanprover-community/mathlib"@"781cb2eed038c4caf53bdbd8d20a95e5822d77df"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,16 +2,13 @@
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module topology.continuous_function.locally_constant
-! leanprover-community/mathlib commit 781cb2eed038c4caf53bdbd8d20a95e5822d77df
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Topology.LocallyConstant.Algebra
import Mathbin.Topology.ContinuousFunction.Basic
import Mathbin.Topology.ContinuousFunction.Algebra
+#align_import topology.continuous_function.locally_constant from "leanprover-community/mathlib"@"781cb2eed038c4caf53bdbd8d20a95e5822d77df"
+
/-!
# The algebra morphism from locally constant functions to continuous functions.
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -25,6 +25,7 @@ namespace LocallyConstant
variable {X Y : Type _} [TopologicalSpace X] [TopologicalSpace Y] (f : LocallyConstant X Y)
+#print LocallyConstant.toContinuousMapMonoidHom /-
/-- The inclusion of locally-constant functions into continuous functions as a multiplicative
monoid hom. -/
@[to_additive
@@ -37,7 +38,9 @@ def toContinuousMapMonoidHom [Monoid Y] [ContinuousMul Y] : LocallyConstant X Y
map_mul' x y := by ext; simp
#align locally_constant.to_continuous_map_monoid_hom LocallyConstant.toContinuousMapMonoidHom
#align locally_constant.to_continuous_map_add_monoid_hom LocallyConstant.toContinuousMapAddMonoidHom
+-/
+#print LocallyConstant.toContinuousMapLinearMap /-
/-- The inclusion of locally-constant functions into continuous functions as a linear map. -/
@[simps]
def toContinuousMapLinearMap (R : Type _) [Semiring R] [AddCommMonoid Y] [Module R Y]
@@ -47,7 +50,9 @@ def toContinuousMapLinearMap (R : Type _) [Semiring R] [AddCommMonoid Y] [Module
map_add' x y := by ext; simp
map_smul' x y := by ext; simp
#align locally_constant.to_continuous_map_linear_map LocallyConstant.toContinuousMapLinearMap
+-/
+#print LocallyConstant.toContinuousMapAlgHom /-
/-- The inclusion of locally-constant functions into continuous functions as an algebra map. -/
@[simps]
def toContinuousMapAlgHom (R : Type _) [CommSemiring R] [Semiring Y] [Algebra R Y]
@@ -60,6 +65,7 @@ def toContinuousMapAlgHom (R : Type _) [CommSemiring R] [Semiring Y] [Algebra R
map_add' x y := by ext; simp
commutes' r := by ext x; simp [Algebra.smul_def]
#align locally_constant.to_continuous_map_alg_hom LocallyConstant.toContinuousMapAlgHom
+-/
end LocallyConstant
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -25,12 +25,6 @@ namespace LocallyConstant
variable {X Y : Type _} [TopologicalSpace X] [TopologicalSpace Y] (f : LocallyConstant X Y)
-/- warning: locally_constant.to_continuous_map_monoid_hom -> LocallyConstant.toContinuousMapMonoidHom is a dubious translation:
-lean 3 declaration is
- forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] [_inst_3 : Monoid.{u2} Y] [_inst_4 : ContinuousMul.{u2} Y _inst_2 (MulOneClass.toHasMul.{u2} Y (Monoid.toMulOneClass.{u2} Y _inst_3))], MonoidHom.{max u1 u2, max u1 u2} (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) (LocallyConstant.mulOneClass.{u1, u2} X Y _inst_1 (Monoid.toMulOneClass.{u2} Y _inst_3)) (ContinuousMap.mulOneClass.{u1, u2} X Y _inst_1 _inst_2 (Monoid.toMulOneClass.{u2} Y _inst_3) _inst_4)
-but is expected to have type
- forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] [_inst_3 : Monoid.{u2} Y] [_inst_4 : ContinuousMul.{u2} Y _inst_2 (MulOneClass.toMul.{u2} Y (Monoid.toMulOneClass.{u2} Y _inst_3))], MonoidHom.{max u2 u1, max u2 u1} (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) (LocallyConstant.instMulOneClassLocallyConstant.{u1, u2} X Y _inst_1 (Monoid.toMulOneClass.{u2} Y _inst_3)) (ContinuousMap.instMulOneClassContinuousMap.{u1, u2} X Y _inst_1 _inst_2 (Monoid.toMulOneClass.{u2} Y _inst_3) _inst_4)
-Case conversion may be inaccurate. Consider using '#align locally_constant.to_continuous_map_monoid_hom LocallyConstant.toContinuousMapMonoidHomₓ'. -/
/-- The inclusion of locally-constant functions into continuous functions as a multiplicative
monoid hom. -/
@[to_additive
@@ -44,12 +38,6 @@ def toContinuousMapMonoidHom [Monoid Y] [ContinuousMul Y] : LocallyConstant X Y
#align locally_constant.to_continuous_map_monoid_hom LocallyConstant.toContinuousMapMonoidHom
#align locally_constant.to_continuous_map_add_monoid_hom LocallyConstant.toContinuousMapAddMonoidHom
-/- warning: locally_constant.to_continuous_map_linear_map -> LocallyConstant.toContinuousMapLinearMap is a dubious translation:
-lean 3 declaration is
- forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] (R : Type.{u3}) [_inst_3 : Semiring.{u3} R] [_inst_4 : AddCommMonoid.{u2} Y] [_inst_5 : Module.{u3, u2} R Y _inst_3 _inst_4] [_inst_6 : ContinuousAdd.{u2} Y _inst_2 (AddZeroClass.toHasAdd.{u2} Y (AddMonoid.toAddZeroClass.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4)))] [_inst_7 : ContinuousConstSMul.{u3, u2} R Y _inst_2 (SMulZeroClass.toHasSmul.{u3, u2} R Y (AddZeroClass.toHasZero.{u2} Y (AddMonoid.toAddZeroClass.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4))) (SMulWithZero.toSmulZeroClass.{u3, u2} R Y (MulZeroClass.toHasZero.{u3} R (MulZeroOneClass.toMulZeroClass.{u3} R (MonoidWithZero.toMulZeroOneClass.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_3)))) (AddZeroClass.toHasZero.{u2} Y (AddMonoid.toAddZeroClass.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4))) (MulActionWithZero.toSMulWithZero.{u3, u2} R Y (Semiring.toMonoidWithZero.{u3} R _inst_3) (AddZeroClass.toHasZero.{u2} Y (AddMonoid.toAddZeroClass.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4))) (Module.toMulActionWithZero.{u3, u2} R Y _inst_3 _inst_4 _inst_5))))], LinearMap.{u3, u3, max u1 u2, max u1 u2} R R _inst_3 _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_3)) (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) (LocallyConstant.addCommMonoid.{u1, u2} X Y _inst_1 _inst_4) (ContinuousMap.addCommMonoid.{u1, u2} X Y _inst_1 _inst_2 _inst_4 _inst_6) (LocallyConstant.module.{u1, u2, u3} X Y _inst_1 R _inst_3 _inst_4 _inst_5) (ContinuousMap.module.{u1, u3, u2} X _inst_1 R Y _inst_2 _inst_3 _inst_4 _inst_6 _inst_5 _inst_7)
-but is expected to have type
- forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] (R : Type.{u3}) [_inst_3 : Semiring.{u3} R] [_inst_4 : AddCommMonoid.{u2} Y] [_inst_5 : Module.{u3, u2} R Y _inst_3 _inst_4] [_inst_6 : ContinuousAdd.{u2} Y _inst_2 (AddZeroClass.toAdd.{u2} Y (AddMonoid.toAddZeroClass.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4)))] [_inst_7 : ContinuousConstSMul.{u3, u2} R Y _inst_2 (SMulZeroClass.toSMul.{u3, u2} R Y (AddMonoid.toZero.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u2} R Y (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_3)) (AddMonoid.toZero.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u2} R Y (Semiring.toMonoidWithZero.{u3} R _inst_3) (AddMonoid.toZero.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4)) (Module.toMulActionWithZero.{u3, u2} R Y _inst_3 _inst_4 _inst_5))))], LinearMap.{u3, u3, max u2 u1, max u2 u1} R R _inst_3 _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_3)) (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) (LocallyConstant.instAddCommMonoidLocallyConstant.{u1, u2} X Y _inst_1 _inst_4) (ContinuousMap.instAddCommMonoidContinuousMap.{u1, u2} X Y _inst_1 _inst_2 _inst_4 _inst_6) (LocallyConstant.instModuleLocallyConstantInstAddCommMonoidLocallyConstant.{u1, u2, u3} X Y _inst_1 R _inst_3 _inst_4 _inst_5) (ContinuousMap.module.{u1, u3, u2} X _inst_1 R Y _inst_2 _inst_3 _inst_4 _inst_6 _inst_5 _inst_7)
-Case conversion may be inaccurate. Consider using '#align locally_constant.to_continuous_map_linear_map LocallyConstant.toContinuousMapLinearMapₓ'. -/
/-- The inclusion of locally-constant functions into continuous functions as a linear map. -/
@[simps]
def toContinuousMapLinearMap (R : Type _) [Semiring R] [AddCommMonoid Y] [Module R Y]
@@ -60,12 +48,6 @@ def toContinuousMapLinearMap (R : Type _) [Semiring R] [AddCommMonoid Y] [Module
map_smul' x y := by ext; simp
#align locally_constant.to_continuous_map_linear_map LocallyConstant.toContinuousMapLinearMap
-/- warning: locally_constant.to_continuous_map_alg_hom -> LocallyConstant.toContinuousMapAlgHom is a dubious translation:
-lean 3 declaration is
- forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] (R : Type.{u3}) [_inst_3 : CommSemiring.{u3} R] [_inst_4 : Semiring.{u2} Y] [_inst_5 : Algebra.{u3, u2} R Y _inst_3 _inst_4] [_inst_6 : TopologicalSemiring.{u2} Y _inst_2 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} Y (Semiring.toNonAssocSemiring.{u2} Y _inst_4))], AlgHom.{u3, max u1 u2, max u1 u2} R (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) _inst_3 (LocallyConstant.semiring.{u1, u2} X Y _inst_1 _inst_4) (ContinuousMap.semiring.{u1, u2} X Y _inst_1 _inst_2 _inst_4 _inst_6) (LocallyConstant.algebra.{u1, u2, u3} X Y _inst_1 R _inst_3 _inst_4 _inst_5) (ContinuousMap.algebra.{u1, u3, u2} X _inst_1 R _inst_3 Y _inst_2 _inst_4 _inst_5 _inst_6)
-but is expected to have type
- forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] (R : Type.{u3}) [_inst_3 : CommSemiring.{u3} R] [_inst_4 : Semiring.{u2} Y] [_inst_5 : Algebra.{u3, u2} R Y _inst_3 _inst_4] [_inst_6 : TopologicalSemiring.{u2} Y _inst_2 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} Y (Semiring.toNonAssocSemiring.{u2} Y _inst_4))], AlgHom.{u3, max u2 u1, max u2 u1} R (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) _inst_3 (LocallyConstant.instSemiringLocallyConstant.{u1, u2} X Y _inst_1 _inst_4) (ContinuousMap.instSemiringContinuousMap.{u1, u2} X Y _inst_1 _inst_2 _inst_4 _inst_6) (LocallyConstant.instAlgebraLocallyConstantInstSemiringLocallyConstant.{u1, u2, u3} X Y _inst_1 R _inst_3 _inst_4 _inst_5) (ContinuousMap.algebra.{u1, u3, u2} X _inst_1 R _inst_3 Y _inst_2 _inst_4 _inst_5 _inst_6)
-Case conversion may be inaccurate. Consider using '#align locally_constant.to_continuous_map_alg_hom LocallyConstant.toContinuousMapAlgHomₓ'. -/
/-- The inclusion of locally-constant functions into continuous functions as an algebra map. -/
@[simps]
def toContinuousMapAlgHom (R : Type _) [CommSemiring R] [Semiring Y] [Algebra R Y]
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -39,12 +39,8 @@ monoid hom. -/
def toContinuousMapMonoidHom [Monoid Y] [ContinuousMul Y] : LocallyConstant X Y →* C(X, Y)
where
toFun := coe
- map_one' := by
- ext
- simp
- map_mul' x y := by
- ext
- simp
+ map_one' := by ext; simp
+ map_mul' x y := by ext; simp
#align locally_constant.to_continuous_map_monoid_hom LocallyConstant.toContinuousMapMonoidHom
#align locally_constant.to_continuous_map_add_monoid_hom LocallyConstant.toContinuousMapAddMonoidHom
@@ -60,12 +56,8 @@ def toContinuousMapLinearMap (R : Type _) [Semiring R] [AddCommMonoid Y] [Module
[ContinuousAdd Y] [ContinuousConstSMul R Y] : LocallyConstant X Y →ₗ[R] C(X, Y)
where
toFun := coe
- map_add' x y := by
- ext
- simp
- map_smul' x y := by
- ext
- simp
+ map_add' x y := by ext; simp
+ map_smul' x y := by ext; simp
#align locally_constant.to_continuous_map_linear_map LocallyConstant.toContinuousMapLinearMap
/- warning: locally_constant.to_continuous_map_alg_hom -> LocallyConstant.toContinuousMapAlgHom is a dubious translation:
@@ -80,21 +72,11 @@ def toContinuousMapAlgHom (R : Type _) [CommSemiring R] [Semiring Y] [Algebra R
[TopologicalSemiring Y] : LocallyConstant X Y →ₐ[R] C(X, Y)
where
toFun := coe
- map_one' := by
- ext
- simp
- map_mul' x y := by
- ext
- simp
- map_zero' := by
- ext
- simp
- map_add' x y := by
- ext
- simp
- commutes' r := by
- ext x
- simp [Algebra.smul_def]
+ map_one' := by ext; simp
+ map_mul' x y := by ext; simp
+ map_zero' := by ext; simp
+ map_add' x y := by ext; simp
+ commutes' r := by ext x; simp [Algebra.smul_def]
#align locally_constant.to_continuous_map_alg_hom LocallyConstant.toContinuousMapAlgHom
end LocallyConstant
mathlib commit https://github.com/leanprover-community/mathlib/commit/2f8347015b12b0864dfaf366ec4909eb70c78740
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
! This file was ported from Lean 3 source module topology.continuous_function.locally_constant
-! leanprover-community/mathlib commit f0339374016bccf700da0b2e0129d107c4346521
+! leanprover-community/mathlib commit 781cb2eed038c4caf53bdbd8d20a95e5822d77df
! 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.ContinuousFunction.Algebra
/-!
# The algebra morphism from locally constant functions to continuous functions.
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/28b2a92f2996d28e580450863c130955de0ed398
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
! This file was ported from Lean 3 source module topology.continuous_function.locally_constant
-! leanprover-community/mathlib commit 781cb2eed038c4caf53bdbd8d20a95e5822d77df
+! leanprover-community/mathlib commit f0339374016bccf700da0b2e0129d107c4346521
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -15,9 +15,6 @@ import Mathbin.Topology.ContinuousFunction.Algebra
/-!
# The algebra morphism from locally constant functions to continuous functions.
-> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
-> Any changes to this file require a corresponding PR to mathlib4.
-
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/2f8347015b12b0864dfaf366ec4909eb70c78740
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
! This file was ported from Lean 3 source module topology.continuous_function.locally_constant
-! leanprover-community/mathlib commit f0339374016bccf700da0b2e0129d107c4346521
+! leanprover-community/mathlib commit 781cb2eed038c4caf53bdbd8d20a95e5822d77df
! 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.ContinuousFunction.Algebra
/-!
# The algebra morphism from locally constant functions to continuous functions.
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/cc5dd6244981976cc9da7afc4eee5682b037a013
@@ -22,6 +22,12 @@ namespace LocallyConstant
variable {X Y : Type _} [TopologicalSpace X] [TopologicalSpace Y] (f : LocallyConstant X Y)
+/- warning: locally_constant.to_continuous_map_monoid_hom -> LocallyConstant.toContinuousMapMonoidHom is a dubious translation:
+lean 3 declaration is
+ forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] [_inst_3 : Monoid.{u2} Y] [_inst_4 : ContinuousMul.{u2} Y _inst_2 (MulOneClass.toHasMul.{u2} Y (Monoid.toMulOneClass.{u2} Y _inst_3))], MonoidHom.{max u1 u2, max u1 u2} (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) (LocallyConstant.mulOneClass.{u1, u2} X Y _inst_1 (Monoid.toMulOneClass.{u2} Y _inst_3)) (ContinuousMap.mulOneClass.{u1, u2} X Y _inst_1 _inst_2 (Monoid.toMulOneClass.{u2} Y _inst_3) _inst_4)
+but is expected to have type
+ forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] [_inst_3 : Monoid.{u2} Y] [_inst_4 : ContinuousMul.{u2} Y _inst_2 (MulOneClass.toMul.{u2} Y (Monoid.toMulOneClass.{u2} Y _inst_3))], MonoidHom.{max u2 u1, max u2 u1} (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) (LocallyConstant.instMulOneClassLocallyConstant.{u1, u2} X Y _inst_1 (Monoid.toMulOneClass.{u2} Y _inst_3)) (ContinuousMap.instMulOneClassContinuousMap.{u1, u2} X Y _inst_1 _inst_2 (Monoid.toMulOneClass.{u2} Y _inst_3) _inst_4)
+Case conversion may be inaccurate. Consider using '#align locally_constant.to_continuous_map_monoid_hom LocallyConstant.toContinuousMapMonoidHomₓ'. -/
/-- The inclusion of locally-constant functions into continuous functions as a multiplicative
monoid hom. -/
@[to_additive
@@ -39,6 +45,12 @@ def toContinuousMapMonoidHom [Monoid Y] [ContinuousMul Y] : LocallyConstant X Y
#align locally_constant.to_continuous_map_monoid_hom LocallyConstant.toContinuousMapMonoidHom
#align locally_constant.to_continuous_map_add_monoid_hom LocallyConstant.toContinuousMapAddMonoidHom
+/- warning: locally_constant.to_continuous_map_linear_map -> LocallyConstant.toContinuousMapLinearMap is a dubious translation:
+lean 3 declaration is
+ forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] (R : Type.{u3}) [_inst_3 : Semiring.{u3} R] [_inst_4 : AddCommMonoid.{u2} Y] [_inst_5 : Module.{u3, u2} R Y _inst_3 _inst_4] [_inst_6 : ContinuousAdd.{u2} Y _inst_2 (AddZeroClass.toHasAdd.{u2} Y (AddMonoid.toAddZeroClass.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4)))] [_inst_7 : ContinuousConstSMul.{u3, u2} R Y _inst_2 (SMulZeroClass.toHasSmul.{u3, u2} R Y (AddZeroClass.toHasZero.{u2} Y (AddMonoid.toAddZeroClass.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4))) (SMulWithZero.toSmulZeroClass.{u3, u2} R Y (MulZeroClass.toHasZero.{u3} R (MulZeroOneClass.toMulZeroClass.{u3} R (MonoidWithZero.toMulZeroOneClass.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_3)))) (AddZeroClass.toHasZero.{u2} Y (AddMonoid.toAddZeroClass.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4))) (MulActionWithZero.toSMulWithZero.{u3, u2} R Y (Semiring.toMonoidWithZero.{u3} R _inst_3) (AddZeroClass.toHasZero.{u2} Y (AddMonoid.toAddZeroClass.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4))) (Module.toMulActionWithZero.{u3, u2} R Y _inst_3 _inst_4 _inst_5))))], LinearMap.{u3, u3, max u1 u2, max u1 u2} R R _inst_3 _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_3)) (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) (LocallyConstant.addCommMonoid.{u1, u2} X Y _inst_1 _inst_4) (ContinuousMap.addCommMonoid.{u1, u2} X Y _inst_1 _inst_2 _inst_4 _inst_6) (LocallyConstant.module.{u1, u2, u3} X Y _inst_1 R _inst_3 _inst_4 _inst_5) (ContinuousMap.module.{u1, u3, u2} X _inst_1 R Y _inst_2 _inst_3 _inst_4 _inst_6 _inst_5 _inst_7)
+but is expected to have type
+ forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] (R : Type.{u3}) [_inst_3 : Semiring.{u3} R] [_inst_4 : AddCommMonoid.{u2} Y] [_inst_5 : Module.{u3, u2} R Y _inst_3 _inst_4] [_inst_6 : ContinuousAdd.{u2} Y _inst_2 (AddZeroClass.toAdd.{u2} Y (AddMonoid.toAddZeroClass.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4)))] [_inst_7 : ContinuousConstSMul.{u3, u2} R Y _inst_2 (SMulZeroClass.toSMul.{u3, u2} R Y (AddMonoid.toZero.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u2} R Y (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_3)) (AddMonoid.toZero.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u2} R Y (Semiring.toMonoidWithZero.{u3} R _inst_3) (AddMonoid.toZero.{u2} Y (AddCommMonoid.toAddMonoid.{u2} Y _inst_4)) (Module.toMulActionWithZero.{u3, u2} R Y _inst_3 _inst_4 _inst_5))))], LinearMap.{u3, u3, max u2 u1, max u2 u1} R R _inst_3 _inst_3 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_3)) (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) (LocallyConstant.instAddCommMonoidLocallyConstant.{u1, u2} X Y _inst_1 _inst_4) (ContinuousMap.instAddCommMonoidContinuousMap.{u1, u2} X Y _inst_1 _inst_2 _inst_4 _inst_6) (LocallyConstant.instModuleLocallyConstantInstAddCommMonoidLocallyConstant.{u1, u2, u3} X Y _inst_1 R _inst_3 _inst_4 _inst_5) (ContinuousMap.module.{u1, u3, u2} X _inst_1 R Y _inst_2 _inst_3 _inst_4 _inst_6 _inst_5 _inst_7)
+Case conversion may be inaccurate. Consider using '#align locally_constant.to_continuous_map_linear_map LocallyConstant.toContinuousMapLinearMapₓ'. -/
/-- The inclusion of locally-constant functions into continuous functions as a linear map. -/
@[simps]
def toContinuousMapLinearMap (R : Type _) [Semiring R] [AddCommMonoid Y] [Module R Y]
@@ -53,6 +65,12 @@ def toContinuousMapLinearMap (R : Type _) [Semiring R] [AddCommMonoid Y] [Module
simp
#align locally_constant.to_continuous_map_linear_map LocallyConstant.toContinuousMapLinearMap
+/- warning: locally_constant.to_continuous_map_alg_hom -> LocallyConstant.toContinuousMapAlgHom is a dubious translation:
+lean 3 declaration is
+ forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] (R : Type.{u3}) [_inst_3 : CommSemiring.{u3} R] [_inst_4 : Semiring.{u2} Y] [_inst_5 : Algebra.{u3, u2} R Y _inst_3 _inst_4] [_inst_6 : TopologicalSemiring.{u2} Y _inst_2 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} Y (Semiring.toNonAssocSemiring.{u2} Y _inst_4))], AlgHom.{u3, max u1 u2, max u1 u2} R (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) _inst_3 (LocallyConstant.semiring.{u1, u2} X Y _inst_1 _inst_4) (ContinuousMap.semiring.{u1, u2} X Y _inst_1 _inst_2 _inst_4 _inst_6) (LocallyConstant.algebra.{u1, u2, u3} X Y _inst_1 R _inst_3 _inst_4 _inst_5) (ContinuousMap.algebra.{u1, u3, u2} X _inst_1 R _inst_3 Y _inst_2 _inst_4 _inst_5 _inst_6)
+but is expected to have type
+ forall {X : Type.{u1}} {Y : Type.{u2}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : TopologicalSpace.{u2} Y] (R : Type.{u3}) [_inst_3 : CommSemiring.{u3} R] [_inst_4 : Semiring.{u2} Y] [_inst_5 : Algebra.{u3, u2} R Y _inst_3 _inst_4] [_inst_6 : TopologicalSemiring.{u2} Y _inst_2 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} Y (Semiring.toNonAssocSemiring.{u2} Y _inst_4))], AlgHom.{u3, max u2 u1, max u2 u1} R (LocallyConstant.{u1, u2} X Y _inst_1) (ContinuousMap.{u1, u2} X Y _inst_1 _inst_2) _inst_3 (LocallyConstant.instSemiringLocallyConstant.{u1, u2} X Y _inst_1 _inst_4) (ContinuousMap.instSemiringContinuousMap.{u1, u2} X Y _inst_1 _inst_2 _inst_4 _inst_6) (LocallyConstant.instAlgebraLocallyConstantInstSemiringLocallyConstant.{u1, u2, u3} X Y _inst_1 R _inst_3 _inst_4 _inst_5) (ContinuousMap.algebra.{u1, u3, u2} X _inst_1 R _inst_3 Y _inst_2 _inst_4 _inst_5 _inst_6)
+Case conversion may be inaccurate. Consider using '#align locally_constant.to_continuous_map_alg_hom LocallyConstant.toContinuousMapAlgHomₓ'. -/
/-- The inclusion of locally-constant functions into continuous functions as an algebra map. -/
@[simps]
def toContinuousMapAlgHom (R : Type _) [CommSemiring R] [Semiring Y] [Algebra R Y]
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.
@@ -17,7 +17,7 @@ import Mathlib.Topology.ContinuousFunction.Algebra
namespace LocallyConstant
-variable {X Y : Type _} [TopologicalSpace X] [TopologicalSpace Y] (f : LocallyConstant X Y)
+variable {X Y : Type*} [TopologicalSpace X] [TopologicalSpace Y] (f : LocallyConstant X Y)
/-- The inclusion of locally-constant functions into continuous functions as a multiplicative
monoid hom. -/
@@ -36,7 +36,7 @@ def toContinuousMapMonoidHom [Monoid Y] [ContinuousMul Y] : LocallyConstant X Y
/-- The inclusion of locally-constant functions into continuous functions as a linear map. -/
@[simps]
-def toContinuousMapLinearMap (R : Type _) [Semiring R] [AddCommMonoid Y] [Module R Y]
+def toContinuousMapLinearMap (R : Type*) [Semiring R] [AddCommMonoid Y] [Module R Y]
[ContinuousAdd Y] [ContinuousConstSMul R Y] : LocallyConstant X Y →ₗ[R] C(X, Y) where
toFun := (↑)
map_add' x y := by
@@ -49,7 +49,7 @@ def toContinuousMapLinearMap (R : Type _) [Semiring R] [AddCommMonoid Y] [Module
/-- The inclusion of locally-constant functions into continuous functions as an algebra map. -/
@[simps]
-def toContinuousMapAlgHom (R : Type _) [CommSemiring R] [Semiring Y] [Algebra R Y]
+def toContinuousMapAlgHom (R : Type*) [CommSemiring R] [Semiring Y] [Algebra R Y]
[TopologicalSemiring Y] : LocallyConstant X Y →ₐ[R] C(X, Y) where
toFun := (↑)
map_one' := by
@@ -2,16 +2,13 @@
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module topology.continuous_function.locally_constant
-! leanprover-community/mathlib commit f0339374016bccf700da0b2e0129d107c4346521
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Topology.LocallyConstant.Algebra
import Mathlib.Topology.ContinuousFunction.Basic
import Mathlib.Topology.ContinuousFunction.Algebra
+#align_import topology.continuous_function.locally_constant from "leanprover-community/mathlib"@"f0339374016bccf700da0b2e0129d107c4346521"
+
/-!
# The algebra morphism from locally constant functions to continuous functions.
The unported dependencies are