measure_theory.group.pointwise
⟷
Mathlib.MeasureTheory.Group.Pointwise
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
@@ -3,7 +3,7 @@ Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Alex J. Best
-/
-import Mathbin.MeasureTheory.Group.Arithmetic
+import MeasureTheory.Group.Arithmetic
#align_import measure_theory.group.pointwise from "leanprover-community/mathlib"@"bd15ff41b70f5e2cc210f26f25a8d5c53b20d3de"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Alex J. Best
-
-! This file was ported from Lean 3 source module measure_theory.group.pointwise
-! leanprover-community/mathlib commit bd15ff41b70f5e2cc210f26f25a8d5c53b20d3de
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.MeasureTheory.Group.Arithmetic
+#align_import measure_theory.group.pointwise from "leanprover-community/mathlib"@"bd15ff41b70f5e2cc210f26f25a8d5c53b20d3de"
+
/-!
# Pointwise set operations on `measurable_set`s
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -26,6 +26,7 @@ open scoped Pointwise
open Set
+#print MeasurableSet.const_smul /-
@[to_additive]
theorem MeasurableSet.const_smul {G α : Type _} [Group G] [MulAction G α] [MeasurableSpace G]
[MeasurableSpace α] [MeasurableSMul G α] {s : Set α} (hs : MeasurableSet s) (a : G) :
@@ -34,7 +35,9 @@ theorem MeasurableSet.const_smul {G α : Type _} [Group G] [MulAction G α] [Mea
exact measurable_const_smul _ hs
#align measurable_set.const_smul MeasurableSet.const_smul
#align measurable_set.const_vadd MeasurableSet.const_vadd
+-/
+#print MeasurableSet.const_smul_of_ne_zero /-
theorem MeasurableSet.const_smul_of_ne_zero {G₀ α : Type _} [GroupWithZero G₀] [MulAction G₀ α]
[MeasurableSpace G₀] [MeasurableSpace α] [MeasurableSMul G₀ α] {s : Set α}
(hs : MeasurableSet s) {a : G₀} (ha : a ≠ 0) : MeasurableSet (a • s) :=
@@ -42,7 +45,9 @@ theorem MeasurableSet.const_smul_of_ne_zero {G₀ α : Type _} [GroupWithZero G
rw [← preimage_smul_inv₀ ha]
exact measurable_const_smul _ hs
#align measurable_set.const_smul_of_ne_zero MeasurableSet.const_smul_of_ne_zero
+-/
+#print MeasurableSet.const_smul₀ /-
theorem MeasurableSet.const_smul₀ {G₀ α : Type _} [GroupWithZero G₀] [Zero α]
[MulActionWithZero G₀ α] [MeasurableSpace G₀] [MeasurableSpace α] [MeasurableSMul G₀ α]
[MeasurableSingletonClass α] {s : Set α} (hs : MeasurableSet s) (a : G₀) :
@@ -50,4 +55,5 @@ theorem MeasurableSet.const_smul₀ {G₀ α : Type _} [GroupWithZero G₀] [Zer
rcases eq_or_ne a 0 with (rfl | ha)
exacts [(subsingleton_zero_smul_set s).MeasurableSet, hs.const_smul_of_ne_zero ha]
#align measurable_set.const_smul₀ MeasurableSet.const_smul₀
+-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb
@@ -48,6 +48,6 @@ theorem MeasurableSet.const_smul₀ {G₀ α : Type _} [GroupWithZero G₀] [Zer
[MeasurableSingletonClass α] {s : Set α} (hs : MeasurableSet s) (a : G₀) :
MeasurableSet (a • s) := by
rcases eq_or_ne a 0 with (rfl | ha)
- exacts[(subsingleton_zero_smul_set s).MeasurableSet, hs.const_smul_of_ne_zero ha]
+ exacts [(subsingleton_zero_smul_set s).MeasurableSet, hs.const_smul_of_ne_zero ha]
#align measurable_set.const_smul₀ MeasurableSet.const_smul₀
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -22,7 +22,7 @@ no `measurable_set.mul` etc.
-/
-open Pointwise
+open scoped Pointwise
open Set
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -26,12 +26,6 @@ open Pointwise
open Set
-/- warning: measurable_set.const_smul -> MeasurableSet.const_smul is a dubious translation:
-lean 3 declaration is
- forall {G : Type.{u1}} {α : Type.{u2}} [_inst_1 : Group.{u1} G] [_inst_2 : MulAction.{u1, u2} G α (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1))] [_inst_3 : MeasurableSpace.{u1} G] [_inst_4 : MeasurableSpace.{u2} α] [_inst_5 : MeasurableSMul.{u1, u2} G α (MulAction.toHasSmul.{u1, u2} G α (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1)) _inst_2) _inst_3 _inst_4] {s : Set.{u2} α}, (MeasurableSet.{u2} α _inst_4 s) -> (forall (a : G), MeasurableSet.{u2} α _inst_4 (SMul.smul.{u1, u2} G (Set.{u2} α) (Set.smulSet.{u1, u2} G α (MulAction.toHasSmul.{u1, u2} G α (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1)) _inst_2)) a s))
-but is expected to have type
- forall {G : Type.{u2}} {α : Type.{u1}} [_inst_1 : Group.{u2} G] [_inst_2 : MulAction.{u2, u1} G α (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_1))] [_inst_3 : MeasurableSpace.{u2} G] [_inst_4 : MeasurableSpace.{u1} α] [_inst_5 : MeasurableSMul.{u2, u1} G α (MulAction.toSMul.{u2, u1} G α (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_1)) _inst_2) _inst_3 _inst_4] {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_4 s) -> (forall (a : G), MeasurableSet.{u1} α _inst_4 (HSMul.hSMul.{u2, u1, u1} G (Set.{u1} α) (Set.{u1} α) (instHSMul.{u2, u1} G (Set.{u1} α) (Set.smulSet.{u2, u1} G α (MulAction.toSMul.{u2, u1} G α (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_1)) _inst_2))) a s))
-Case conversion may be inaccurate. Consider using '#align measurable_set.const_smul MeasurableSet.const_smulₓ'. -/
@[to_additive]
theorem MeasurableSet.const_smul {G α : Type _} [Group G] [MulAction G α] [MeasurableSpace G]
[MeasurableSpace α] [MeasurableSMul G α] {s : Set α} (hs : MeasurableSet s) (a : G) :
@@ -41,12 +35,6 @@ theorem MeasurableSet.const_smul {G α : Type _} [Group G] [MulAction G α] [Mea
#align measurable_set.const_smul MeasurableSet.const_smul
#align measurable_set.const_vadd MeasurableSet.const_vadd
-/- warning: measurable_set.const_smul_of_ne_zero -> MeasurableSet.const_smul_of_ne_zero is a dubious translation:
-lean 3 declaration is
- forall {G₀ : Type.{u1}} {α : Type.{u2}} [_inst_1 : GroupWithZero.{u1} G₀] [_inst_2 : MulAction.{u1, u2} G₀ α (MonoidWithZero.toMonoid.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1))] [_inst_3 : MeasurableSpace.{u1} G₀] [_inst_4 : MeasurableSpace.{u2} α] [_inst_5 : MeasurableSMul.{u1, u2} G₀ α (MulAction.toHasSmul.{u1, u2} G₀ α (MonoidWithZero.toMonoid.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1)) _inst_2) _inst_3 _inst_4] {s : Set.{u2} α}, (MeasurableSet.{u2} α _inst_4 s) -> (forall {a : G₀}, (Ne.{succ u1} G₀ a (OfNat.ofNat.{u1} G₀ 0 (OfNat.mk.{u1} G₀ 0 (Zero.zero.{u1} G₀ (MulZeroClass.toHasZero.{u1} G₀ (MulZeroOneClass.toMulZeroClass.{u1} G₀ (MonoidWithZero.toMulZeroOneClass.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1)))))))) -> (MeasurableSet.{u2} α _inst_4 (SMul.smul.{u1, u2} G₀ (Set.{u2} α) (Set.smulSet.{u1, u2} G₀ α (MulAction.toHasSmul.{u1, u2} G₀ α (MonoidWithZero.toMonoid.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1)) _inst_2)) a s)))
-but is expected to have type
- forall {G₀ : Type.{u2}} {α : Type.{u1}} [_inst_1 : GroupWithZero.{u2} G₀] [_inst_2 : MulAction.{u2, u1} G₀ α (MonoidWithZero.toMonoid.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1))] [_inst_3 : MeasurableSpace.{u2} G₀] [_inst_4 : MeasurableSpace.{u1} α] [_inst_5 : MeasurableSMul.{u2, u1} G₀ α (MulAction.toSMul.{u2, u1} G₀ α (MonoidWithZero.toMonoid.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1)) _inst_2) _inst_3 _inst_4] {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_4 s) -> (forall {a : G₀}, (Ne.{succ u2} G₀ a (OfNat.ofNat.{u2} G₀ 0 (Zero.toOfNat0.{u2} G₀ (MonoidWithZero.toZero.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1))))) -> (MeasurableSet.{u1} α _inst_4 (HSMul.hSMul.{u2, u1, u1} G₀ (Set.{u1} α) (Set.{u1} α) (instHSMul.{u2, u1} G₀ (Set.{u1} α) (Set.smulSet.{u2, u1} G₀ α (MulAction.toSMul.{u2, u1} G₀ α (MonoidWithZero.toMonoid.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1)) _inst_2))) a s)))
-Case conversion may be inaccurate. Consider using '#align measurable_set.const_smul_of_ne_zero MeasurableSet.const_smul_of_ne_zeroₓ'. -/
theorem MeasurableSet.const_smul_of_ne_zero {G₀ α : Type _} [GroupWithZero G₀] [MulAction G₀ α]
[MeasurableSpace G₀] [MeasurableSpace α] [MeasurableSMul G₀ α] {s : Set α}
(hs : MeasurableSet s) {a : G₀} (ha : a ≠ 0) : MeasurableSet (a • s) :=
@@ -55,12 +43,6 @@ theorem MeasurableSet.const_smul_of_ne_zero {G₀ α : Type _} [GroupWithZero G
exact measurable_const_smul _ hs
#align measurable_set.const_smul_of_ne_zero MeasurableSet.const_smul_of_ne_zero
-/- warning: measurable_set.const_smul₀ -> MeasurableSet.const_smul₀ is a dubious translation:
-lean 3 declaration is
- forall {G₀ : Type.{u1}} {α : Type.{u2}} [_inst_1 : GroupWithZero.{u1} G₀] [_inst_2 : Zero.{u2} α] [_inst_3 : MulActionWithZero.{u1, u2} G₀ α (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1) _inst_2] [_inst_4 : MeasurableSpace.{u1} G₀] [_inst_5 : MeasurableSpace.{u2} α] [_inst_6 : MeasurableSMul.{u1, u2} G₀ α (SMulZeroClass.toHasSmul.{u1, u2} G₀ α _inst_2 (SMulWithZero.toSmulZeroClass.{u1, u2} G₀ α (MulZeroClass.toHasZero.{u1} G₀ (MulZeroOneClass.toMulZeroClass.{u1} G₀ (MonoidWithZero.toMulZeroOneClass.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} G₀ α (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1) _inst_2 _inst_3))) _inst_4 _inst_5] [_inst_7 : MeasurableSingletonClass.{u2} α _inst_5] {s : Set.{u2} α}, (MeasurableSet.{u2} α _inst_5 s) -> (forall (a : G₀), MeasurableSet.{u2} α _inst_5 (SMul.smul.{u1, u2} G₀ (Set.{u2} α) (Set.smulSet.{u1, u2} G₀ α (SMulZeroClass.toHasSmul.{u1, u2} G₀ α _inst_2 (SMulWithZero.toSmulZeroClass.{u1, u2} G₀ α (MulZeroClass.toHasZero.{u1} G₀ (MulZeroOneClass.toMulZeroClass.{u1} G₀ (MonoidWithZero.toMulZeroOneClass.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} G₀ α (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1) _inst_2 _inst_3)))) a s))
-but is expected to have type
- forall {G₀ : Type.{u2}} {α : Type.{u1}} [_inst_1 : GroupWithZero.{u2} G₀] [_inst_2 : Zero.{u1} α] [_inst_3 : MulActionWithZero.{u2, u1} G₀ α (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1) _inst_2] [_inst_4 : MeasurableSpace.{u2} G₀] [_inst_5 : MeasurableSpace.{u1} α] [_inst_6 : MeasurableSMul.{u2, u1} G₀ α (SMulZeroClass.toSMul.{u2, u1} G₀ α _inst_2 (SMulWithZero.toSMulZeroClass.{u2, u1} G₀ α (MonoidWithZero.toZero.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1)) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} G₀ α (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1) _inst_2 _inst_3))) _inst_4 _inst_5] [_inst_7 : MeasurableSingletonClass.{u1} α _inst_5] {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_5 s) -> (forall (a : G₀), MeasurableSet.{u1} α _inst_5 (HSMul.hSMul.{u2, u1, u1} G₀ (Set.{u1} α) (Set.{u1} α) (instHSMul.{u2, u1} G₀ (Set.{u1} α) (Set.smulSet.{u2, u1} G₀ α (SMulZeroClass.toSMul.{u2, u1} G₀ α _inst_2 (SMulWithZero.toSMulZeroClass.{u2, u1} G₀ α (MonoidWithZero.toZero.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1)) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} G₀ α (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1) _inst_2 _inst_3))))) a s))
-Case conversion may be inaccurate. Consider using '#align measurable_set.const_smul₀ MeasurableSet.const_smul₀ₓ'. -/
theorem MeasurableSet.const_smul₀ {G₀ α : Type _} [GroupWithZero G₀] [Zero α]
[MulActionWithZero G₀ α] [MeasurableSpace G₀] [MeasurableSpace α] [MeasurableSMul G₀ α]
[MeasurableSingletonClass α] {s : Set α} (hs : MeasurableSet s) (a : G₀) :
mathlib commit https://github.com/leanprover-community/mathlib/commit/403190b5419b3f03f1a2893ad9352ca7f7d8bff6
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Alex J. Best
! This file was ported from Lean 3 source module measure_theory.group.pointwise
-! leanprover-community/mathlib commit 66f7114a1d5cba41c47d417a034bbb2e96cf564a
+! leanprover-community/mathlib commit bd15ff41b70f5e2cc210f26f25a8d5c53b20d3de
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -13,6 +13,9 @@ import Mathbin.MeasureTheory.Group.Arithmetic
/-!
# Pointwise set operations on `measurable_set`s
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
In this file we prove several versions of the following fact: if `s` is a measurable set, then so is
`a • s`. Note that the pointwise product of two measurable sets need not be measurable, so there is
no `measurable_set.mul` etc.
mathlib commit https://github.com/leanprover-community/mathlib/commit/28b2a92f2996d28e580450863c130955de0ed398
@@ -23,6 +23,12 @@ open Pointwise
open Set
+/- warning: measurable_set.const_smul -> MeasurableSet.const_smul is a dubious translation:
+lean 3 declaration is
+ forall {G : Type.{u1}} {α : Type.{u2}} [_inst_1 : Group.{u1} G] [_inst_2 : MulAction.{u1, u2} G α (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1))] [_inst_3 : MeasurableSpace.{u1} G] [_inst_4 : MeasurableSpace.{u2} α] [_inst_5 : MeasurableSMul.{u1, u2} G α (MulAction.toHasSmul.{u1, u2} G α (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1)) _inst_2) _inst_3 _inst_4] {s : Set.{u2} α}, (MeasurableSet.{u2} α _inst_4 s) -> (forall (a : G), MeasurableSet.{u2} α _inst_4 (SMul.smul.{u1, u2} G (Set.{u2} α) (Set.smulSet.{u1, u2} G α (MulAction.toHasSmul.{u1, u2} G α (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1)) _inst_2)) a s))
+but is expected to have type
+ forall {G : Type.{u2}} {α : Type.{u1}} [_inst_1 : Group.{u2} G] [_inst_2 : MulAction.{u2, u1} G α (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_1))] [_inst_3 : MeasurableSpace.{u2} G] [_inst_4 : MeasurableSpace.{u1} α] [_inst_5 : MeasurableSMul.{u2, u1} G α (MulAction.toSMul.{u2, u1} G α (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_1)) _inst_2) _inst_3 _inst_4] {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_4 s) -> (forall (a : G), MeasurableSet.{u1} α _inst_4 (HSMul.hSMul.{u2, u1, u1} G (Set.{u1} α) (Set.{u1} α) (instHSMul.{u2, u1} G (Set.{u1} α) (Set.smulSet.{u2, u1} G α (MulAction.toSMul.{u2, u1} G α (DivInvMonoid.toMonoid.{u2} G (Group.toDivInvMonoid.{u2} G _inst_1)) _inst_2))) a s))
+Case conversion may be inaccurate. Consider using '#align measurable_set.const_smul MeasurableSet.const_smulₓ'. -/
@[to_additive]
theorem MeasurableSet.const_smul {G α : Type _} [Group G] [MulAction G α] [MeasurableSpace G]
[MeasurableSpace α] [MeasurableSMul G α] {s : Set α} (hs : MeasurableSet s) (a : G) :
@@ -32,6 +38,12 @@ theorem MeasurableSet.const_smul {G α : Type _} [Group G] [MulAction G α] [Mea
#align measurable_set.const_smul MeasurableSet.const_smul
#align measurable_set.const_vadd MeasurableSet.const_vadd
+/- warning: measurable_set.const_smul_of_ne_zero -> MeasurableSet.const_smul_of_ne_zero is a dubious translation:
+lean 3 declaration is
+ forall {G₀ : Type.{u1}} {α : Type.{u2}} [_inst_1 : GroupWithZero.{u1} G₀] [_inst_2 : MulAction.{u1, u2} G₀ α (MonoidWithZero.toMonoid.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1))] [_inst_3 : MeasurableSpace.{u1} G₀] [_inst_4 : MeasurableSpace.{u2} α] [_inst_5 : MeasurableSMul.{u1, u2} G₀ α (MulAction.toHasSmul.{u1, u2} G₀ α (MonoidWithZero.toMonoid.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1)) _inst_2) _inst_3 _inst_4] {s : Set.{u2} α}, (MeasurableSet.{u2} α _inst_4 s) -> (forall {a : G₀}, (Ne.{succ u1} G₀ a (OfNat.ofNat.{u1} G₀ 0 (OfNat.mk.{u1} G₀ 0 (Zero.zero.{u1} G₀ (MulZeroClass.toHasZero.{u1} G₀ (MulZeroOneClass.toMulZeroClass.{u1} G₀ (MonoidWithZero.toMulZeroOneClass.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1)))))))) -> (MeasurableSet.{u2} α _inst_4 (SMul.smul.{u1, u2} G₀ (Set.{u2} α) (Set.smulSet.{u1, u2} G₀ α (MulAction.toHasSmul.{u1, u2} G₀ α (MonoidWithZero.toMonoid.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1)) _inst_2)) a s)))
+but is expected to have type
+ forall {G₀ : Type.{u2}} {α : Type.{u1}} [_inst_1 : GroupWithZero.{u2} G₀] [_inst_2 : MulAction.{u2, u1} G₀ α (MonoidWithZero.toMonoid.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1))] [_inst_3 : MeasurableSpace.{u2} G₀] [_inst_4 : MeasurableSpace.{u1} α] [_inst_5 : MeasurableSMul.{u2, u1} G₀ α (MulAction.toSMul.{u2, u1} G₀ α (MonoidWithZero.toMonoid.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1)) _inst_2) _inst_3 _inst_4] {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_4 s) -> (forall {a : G₀}, (Ne.{succ u2} G₀ a (OfNat.ofNat.{u2} G₀ 0 (Zero.toOfNat0.{u2} G₀ (MonoidWithZero.toZero.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1))))) -> (MeasurableSet.{u1} α _inst_4 (HSMul.hSMul.{u2, u1, u1} G₀ (Set.{u1} α) (Set.{u1} α) (instHSMul.{u2, u1} G₀ (Set.{u1} α) (Set.smulSet.{u2, u1} G₀ α (MulAction.toSMul.{u2, u1} G₀ α (MonoidWithZero.toMonoid.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1)) _inst_2))) a s)))
+Case conversion may be inaccurate. Consider using '#align measurable_set.const_smul_of_ne_zero MeasurableSet.const_smul_of_ne_zeroₓ'. -/
theorem MeasurableSet.const_smul_of_ne_zero {G₀ α : Type _} [GroupWithZero G₀] [MulAction G₀ α]
[MeasurableSpace G₀] [MeasurableSpace α] [MeasurableSMul G₀ α] {s : Set α}
(hs : MeasurableSet s) {a : G₀} (ha : a ≠ 0) : MeasurableSet (a • s) :=
@@ -40,6 +52,12 @@ theorem MeasurableSet.const_smul_of_ne_zero {G₀ α : Type _} [GroupWithZero G
exact measurable_const_smul _ hs
#align measurable_set.const_smul_of_ne_zero MeasurableSet.const_smul_of_ne_zero
+/- warning: measurable_set.const_smul₀ -> MeasurableSet.const_smul₀ is a dubious translation:
+lean 3 declaration is
+ forall {G₀ : Type.{u1}} {α : Type.{u2}} [_inst_1 : GroupWithZero.{u1} G₀] [_inst_2 : Zero.{u2} α] [_inst_3 : MulActionWithZero.{u1, u2} G₀ α (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1) _inst_2] [_inst_4 : MeasurableSpace.{u1} G₀] [_inst_5 : MeasurableSpace.{u2} α] [_inst_6 : MeasurableSMul.{u1, u2} G₀ α (SMulZeroClass.toHasSmul.{u1, u2} G₀ α _inst_2 (SMulWithZero.toSmulZeroClass.{u1, u2} G₀ α (MulZeroClass.toHasZero.{u1} G₀ (MulZeroOneClass.toMulZeroClass.{u1} G₀ (MonoidWithZero.toMulZeroOneClass.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} G₀ α (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1) _inst_2 _inst_3))) _inst_4 _inst_5] [_inst_7 : MeasurableSingletonClass.{u2} α _inst_5] {s : Set.{u2} α}, (MeasurableSet.{u2} α _inst_5 s) -> (forall (a : G₀), MeasurableSet.{u2} α _inst_5 (SMul.smul.{u1, u2} G₀ (Set.{u2} α) (Set.smulSet.{u1, u2} G₀ α (SMulZeroClass.toHasSmul.{u1, u2} G₀ α _inst_2 (SMulWithZero.toSmulZeroClass.{u1, u2} G₀ α (MulZeroClass.toHasZero.{u1} G₀ (MulZeroOneClass.toMulZeroClass.{u1} G₀ (MonoidWithZero.toMulZeroOneClass.{u1} G₀ (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} G₀ α (GroupWithZero.toMonoidWithZero.{u1} G₀ _inst_1) _inst_2 _inst_3)))) a s))
+but is expected to have type
+ forall {G₀ : Type.{u2}} {α : Type.{u1}} [_inst_1 : GroupWithZero.{u2} G₀] [_inst_2 : Zero.{u1} α] [_inst_3 : MulActionWithZero.{u2, u1} G₀ α (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1) _inst_2] [_inst_4 : MeasurableSpace.{u2} G₀] [_inst_5 : MeasurableSpace.{u1} α] [_inst_6 : MeasurableSMul.{u2, u1} G₀ α (SMulZeroClass.toSMul.{u2, u1} G₀ α _inst_2 (SMulWithZero.toSMulZeroClass.{u2, u1} G₀ α (MonoidWithZero.toZero.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1)) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} G₀ α (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1) _inst_2 _inst_3))) _inst_4 _inst_5] [_inst_7 : MeasurableSingletonClass.{u1} α _inst_5] {s : Set.{u1} α}, (MeasurableSet.{u1} α _inst_5 s) -> (forall (a : G₀), MeasurableSet.{u1} α _inst_5 (HSMul.hSMul.{u2, u1, u1} G₀ (Set.{u1} α) (Set.{u1} α) (instHSMul.{u2, u1} G₀ (Set.{u1} α) (Set.smulSet.{u2, u1} G₀ α (SMulZeroClass.toSMul.{u2, u1} G₀ α _inst_2 (SMulWithZero.toSMulZeroClass.{u2, u1} G₀ α (MonoidWithZero.toZero.{u2} G₀ (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1)) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} G₀ α (GroupWithZero.toMonoidWithZero.{u2} G₀ _inst_1) _inst_2 _inst_3))))) a s))
+Case conversion may be inaccurate. Consider using '#align measurable_set.const_smul₀ MeasurableSet.const_smul₀ₓ'. -/
theorem MeasurableSet.const_smul₀ {G₀ α : Type _} [GroupWithZero G₀] [Zero α]
[MulActionWithZero G₀ α] [MeasurableSpace G₀] [MeasurableSpace α] [MeasurableSMul G₀ α]
[MeasurableSingletonClass α] {s : Set α} (hs : MeasurableSet s) (a : G₀) :
mathlib commit https://github.com/leanprover-community/mathlib/commit/cc5dd6244981976cc9da7afc4eee5682b037a013
@@ -25,7 +25,7 @@ open Set
@[to_additive]
theorem MeasurableSet.const_smul {G α : Type _} [Group G] [MulAction G α] [MeasurableSpace G]
- [MeasurableSpace α] [HasMeasurableSmul G α] {s : Set α} (hs : MeasurableSet s) (a : G) :
+ [MeasurableSpace α] [MeasurableSMul G α] {s : Set α} (hs : MeasurableSet s) (a : G) :
MeasurableSet (a • s) := by
rw [← preimage_smul_inv]
exact measurable_const_smul _ hs
@@ -33,7 +33,7 @@ theorem MeasurableSet.const_smul {G α : Type _} [Group G] [MulAction G α] [Mea
#align measurable_set.const_vadd MeasurableSet.const_vadd
theorem MeasurableSet.const_smul_of_ne_zero {G₀ α : Type _} [GroupWithZero G₀] [MulAction G₀ α]
- [MeasurableSpace G₀] [MeasurableSpace α] [HasMeasurableSmul G₀ α] {s : Set α}
+ [MeasurableSpace G₀] [MeasurableSpace α] [MeasurableSMul G₀ α] {s : Set α}
(hs : MeasurableSet s) {a : G₀} (ha : a ≠ 0) : MeasurableSet (a • s) :=
by
rw [← preimage_smul_inv₀ ha]
@@ -41,7 +41,7 @@ theorem MeasurableSet.const_smul_of_ne_zero {G₀ α : Type _} [GroupWithZero G
#align measurable_set.const_smul_of_ne_zero MeasurableSet.const_smul_of_ne_zero
theorem MeasurableSet.const_smul₀ {G₀ α : Type _} [GroupWithZero G₀] [Zero α]
- [MulActionWithZero G₀ α] [MeasurableSpace G₀] [MeasurableSpace α] [HasMeasurableSmul G₀ α]
+ [MulActionWithZero G₀ α] [MeasurableSpace G₀] [MeasurableSpace α] [MeasurableSMul G₀ α]
[MeasurableSingletonClass α] {s : Set α} (hs : MeasurableSet s) (a : G₀) :
MeasurableSet (a • s) := by
rcases eq_or_ne a 0 with (rfl | ha)
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.
@@ -21,7 +21,7 @@ open Pointwise
open Set
@[to_additive]
-theorem MeasurableSet.const_smul {G α : Type _} [Group G] [MulAction G α] [MeasurableSpace G]
+theorem MeasurableSet.const_smul {G α : Type*} [Group G] [MulAction G α] [MeasurableSpace G]
[MeasurableSpace α] [MeasurableSMul G α] {s : Set α} (hs : MeasurableSet s) (a : G) :
MeasurableSet (a • s) := by
rw [← preimage_smul_inv]
@@ -29,14 +29,14 @@ theorem MeasurableSet.const_smul {G α : Type _} [Group G] [MulAction G α] [Mea
#align measurable_set.const_smul MeasurableSet.const_smul
#align measurable_set.const_vadd MeasurableSet.const_vadd
-theorem MeasurableSet.const_smul_of_ne_zero {G₀ α : Type _} [GroupWithZero G₀] [MulAction G₀ α]
+theorem MeasurableSet.const_smul_of_ne_zero {G₀ α : Type*} [GroupWithZero G₀] [MulAction G₀ α]
[MeasurableSpace G₀] [MeasurableSpace α] [MeasurableSMul G₀ α] {s : Set α}
(hs : MeasurableSet s) {a : G₀} (ha : a ≠ 0) : MeasurableSet (a • s) := by
rw [← preimage_smul_inv₀ ha]
exact measurable_const_smul _ hs
#align measurable_set.const_smul_of_ne_zero MeasurableSet.const_smul_of_ne_zero
-theorem MeasurableSet.const_smul₀ {G₀ α : Type _} [GroupWithZero G₀] [Zero α]
+theorem MeasurableSet.const_smul₀ {G₀ α : Type*} [GroupWithZero G₀] [Zero α]
[MulActionWithZero G₀ α] [MeasurableSpace G₀] [MeasurableSpace α] [MeasurableSMul G₀ α]
[MeasurableSingletonClass α] {s : Set α} (hs : MeasurableSet s) (a : G₀) :
MeasurableSet (a • s) := by
@@ -2,14 +2,11 @@
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Alex J. Best
-
-! This file was ported from Lean 3 source module measure_theory.group.pointwise
-! leanprover-community/mathlib commit 66f7114a1d5cba41c47d417a034bbb2e96cf564a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.MeasureTheory.Group.Arithmetic
+#align_import measure_theory.group.pointwise from "leanprover-community/mathlib"@"66f7114a1d5cba41c47d417a034bbb2e96cf564a"
+
/-!
# Pointwise set operations on `MeasurableSet`s
@@ -44,5 +44,5 @@ theorem MeasurableSet.const_smul₀ {G₀ α : Type _} [GroupWithZero G₀] [Zer
[MeasurableSingletonClass α] {s : Set α} (hs : MeasurableSet s) (a : G₀) :
MeasurableSet (a • s) := by
rcases eq_or_ne a 0 with (rfl | ha)
- exacts[(subsingleton_zero_smul_set s).measurableSet, hs.const_smul_of_ne_zero ha]
+ exacts [(subsingleton_zero_smul_set s).measurableSet, hs.const_smul_of_ne_zero ha]
#align measurable_set.const_smul₀ MeasurableSet.const_smul₀
The unported dependencies are
algebra.order.module
init.core
algebra.order.monoid.cancel.defs
algebra.abs
algebra.group_power.lemmas
init.data.list.basic
init.data.list.default
algebra.order.monoid.cancel.basic
topology.subset_properties
init.logic
The following 1 dependencies have changed in mathlib3 since they were ported, which may complicate porting this file