algebra.module.prod
⟷
Mathlib.Algebra.Module.Prod
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/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -50,7 +50,7 @@ instance {r : Semiring R} [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Modu
instance {r : Semiring R} [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Module R N]
[NoZeroSMulDivisors R M] [NoZeroSMulDivisors R N] : NoZeroSMulDivisors R (M × N) :=
⟨fun c ⟨x, y⟩ h =>
- or_iff_not_imp_left.mpr fun hc =>
+ Classical.or_iff_not_imp_left.mpr fun hc =>
mk.inj_iff.mpr
⟨(smul_eq_zero.mp (congr_arg fst h)).resolve_left hc,
(smul_eq_zero.mp (congr_arg snd h)).resolve_left hc⟩⟩
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Eric Wieser
-/
-import Mathbin.Algebra.Module.Basic
-import Mathbin.GroupTheory.GroupAction.Prod
+import Algebra.Module.Basic
+import GroupTheory.GroupAction.Prod
#align_import algebra.module.prod from "leanprover-community/mathlib"@"c3291da49cfa65f0d43b094750541c0731edc932"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Eric Wieser
-
-! This file was ported from Lean 3 source module algebra.module.prod
-! leanprover-community/mathlib commit c3291da49cfa65f0d43b094750541c0731edc932
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Algebra.Module.Basic
import Mathbin.GroupTheory.GroupAction.Prod
+#align_import algebra.module.prod from "leanprover-community/mathlib"@"c3291da49cfa65f0d43b094750541c0731edc932"
+
/-!
# Prod instances for module and multiplicative actions
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Similar to #12486, which did this for Algebra.Algebra.Basic
.
Splits Algebra.Module.Defs
off Algebra.Module.Basic
. Most imports only need the Defs file, which has significantly smaller imports. The remaining Algebra.Module.Basic
is now a grab-bag of unrelated results, and should probably be split further or rehomed.
This is mostly motivated by the wasted effort during minimization upon encountering Algebra.Module.Basic.
Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>
@@ -3,7 +3,7 @@ Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Eric Wieser
-/
-import Mathlib.Algebra.Module.Basic
+import Mathlib.Algebra.Module.Defs
import Mathlib.GroupTheory.GroupAction.Prod
#align_import algebra.module.prod from "leanprover-community/mathlib"@"a437a2499163d85d670479f69f625f461cc5fef9"
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -15,7 +15,7 @@ This file defines instances for binary product of modules
-/
-variable {R : Type _} {S : Type _} {M : Type _} {N : Type _}
+variable {R : Type*} {S : Type*} {M : Type*} {N : Type*}
namespace Prod
Per https://github.com/leanprover/lean4/issues/2343, we are going to need to change the automatic generation of instance names, as they become too long.
This PR ensures that everywhere in Mathlib that refers to an instance by name, that name is given explicitly, rather than being automatically generated.
There are four exceptions, which are now commented, with links to https://github.com/leanprover/lean4/issues/2343.
This was implemented by running Mathlib against a modified Lean that appended _ᾰ
to all automatically generated names, and fixing everything.
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
@@ -33,12 +33,12 @@ instance mulActionWithZero [MonoidWithZero R] [Zero M] [Zero N] [MulActionWithZe
zero_smul := fun _ => Prod.ext (zero_smul _ _) (zero_smul _ _) }
#align prod.mul_action_with_zero Prod.mulActionWithZero
-instance module [Semiring R] [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Module R N] :
+instance instModule [Semiring R] [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Module R N] :
Module R (M × N) :=
{ Prod.distribMulAction with
add_smul := fun _ _ _ => mk.inj_iff.mpr ⟨add_smul _ _ _, add_smul _ _ _⟩
zero_smul := fun _ => mk.inj_iff.mpr ⟨zero_smul _ _, zero_smul _ _⟩ }
-#align prod.module Prod.module
+#align prod.module Prod.instModule
instance noZeroSMulDivisors {r : Semiring R} [AddCommMonoid M] [AddCommMonoid N]
[Module R M] [Module R N] [NoZeroSMulDivisors R M] [NoZeroSMulDivisors R N] :
@@ -2,15 +2,12 @@
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Eric Wieser
-
-! This file was ported from Lean 3 source module algebra.module.prod
-! leanprover-community/mathlib commit a437a2499163d85d670479f69f625f461cc5fef9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Algebra.Module.Basic
import Mathlib.GroupTheory.GroupAction.Prod
+#align_import algebra.module.prod from "leanprover-community/mathlib"@"a437a2499163d85d670479f69f625f461cc5fef9"
+
/-!
# Prod instances for module and multiplicative actions
@@ -36,7 +36,7 @@ instance mulActionWithZero [MonoidWithZero R] [Zero M] [Zero N] [MulActionWithZe
zero_smul := fun _ => Prod.ext (zero_smul _ _) (zero_smul _ _) }
#align prod.mul_action_with_zero Prod.mulActionWithZero
-instance module {_ : Semiring R} [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Module R N] :
+instance module [Semiring R] [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Module R N] :
Module R (M × N) :=
{ Prod.distribMulAction with
add_smul := fun _ _ _ => mk.inj_iff.mpr ⟨add_smul _ _ _, add_smul _ _ _⟩
@@ -36,14 +36,16 @@ instance mulActionWithZero [MonoidWithZero R] [Zero M] [Zero N] [MulActionWithZe
zero_smul := fun _ => Prod.ext (zero_smul _ _) (zero_smul _ _) }
#align prod.mul_action_with_zero Prod.mulActionWithZero
-instance {_ : Semiring R} [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Module R N] :
+instance module {_ : Semiring R} [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Module R N] :
Module R (M × N) :=
{ Prod.distribMulAction with
add_smul := fun _ _ _ => mk.inj_iff.mpr ⟨add_smul _ _ _, add_smul _ _ _⟩
zero_smul := fun _ => mk.inj_iff.mpr ⟨zero_smul _ _, zero_smul _ _⟩ }
+#align prod.module Prod.module
-instance {r : Semiring R} [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Module R N]
- [NoZeroSMulDivisors R M] [NoZeroSMulDivisors R N] : NoZeroSMulDivisors R (M × N) :=
+instance noZeroSMulDivisors {r : Semiring R} [AddCommMonoid M] [AddCommMonoid N]
+ [Module R M] [Module R N] [NoZeroSMulDivisors R M] [NoZeroSMulDivisors R N] :
+ NoZeroSMulDivisors R (M × N) :=
{ eq_zero_or_eq_zero_of_smul_eq_zero := by -- Porting note: in mathlib3 there is no need for `by`/
-- `intro`/`exact`, i.e. the following works:
-- ⟨fun c ⟨x, y⟩ h =>
@@ -53,5 +55,6 @@ instance {r : Semiring R} [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Modu
mk.inj_iff.mpr
⟨(smul_eq_zero.mp (congr_arg fst h)).resolve_left hc,
(smul_eq_zero.mp (congr_arg snd h)).resolve_left hc⟩ }
+#align prod.no_zero_smul_divisors Prod.noZeroSMulDivisors
end Prod
@@ -43,7 +43,7 @@ instance {_ : Semiring R} [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Modu
zero_smul := fun _ => mk.inj_iff.mpr ⟨zero_smul _ _, zero_smul _ _⟩ }
instance {r : Semiring R} [AddCommMonoid M] [AddCommMonoid N] [Module R M] [Module R N]
- [NoZeroSmulDivisors R M] [NoZeroSmulDivisors R N] : NoZeroSmulDivisors R (M × N) :=
+ [NoZeroSMulDivisors R M] [NoZeroSMulDivisors R N] : NoZeroSMulDivisors R (M × N) :=
{ eq_zero_or_eq_zero_of_smul_eq_zero := by -- Porting note: in mathlib3 there is no need for `by`/
-- `intro`/`exact`, i.e. the following works:
-- ⟨fun c ⟨x, y⟩ h =>
The unported dependencies are