measure_theory.group.pointwiseMathlib.MeasureTheory.Group.Pointwise

This file has been ported!

Changes since the initial port

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.

Changes in mathlib3

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -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"
 
Diff
@@ -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
 
Diff
@@ -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
+-/
 
Diff
@@ -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
 
Diff
@@ -22,7 +22,7 @@ no `measurable_set.mul` etc.
 -/
 
 
-open Pointwise
+open scoped Pointwise
 
 open Set
 
Diff
@@ -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) :
Diff
@@ -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.
Diff
@@ -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) :
Diff
@@ -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)

Changes in mathlib4

mathlib3
mathlib4
chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

Diff
@@ -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
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -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
 
chore: add space after exacts (#4945)

Too often tempted to change these during other PRs, so doing a mass edit here.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

Diff
@@ -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
feat: port MeasureTheory.Group.Pointwise (#3914)

Co-authored-by: Moritz Firsching <firsching@google.com>

Dependencies 10 + 611

612 files ported (98.4%)
272953 lines ported (98.1%)
Show graph

The unported dependencies are

The following 1 dependencies have changed in mathlib3 since they were ported, which may complicate porting this file