algebra.category.Module.projective
⟷
Mathlib.Algebra.Category.ModuleCat.Projective
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
@@ -3,7 +3,7 @@ Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
-import Algebra.Category.Module.EpiMono
+import Algebra.Category.ModuleCat.EpiMono
import Algebra.Module.Projective
import CategoryTheory.Preadditive.Projective
import LinearAlgebra.FinsuppVectorSpace
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,10 +3,10 @@ Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
-import Mathbin.Algebra.Category.Module.EpiMono
-import Mathbin.Algebra.Module.Projective
-import Mathbin.CategoryTheory.Preadditive.Projective
-import Mathbin.LinearAlgebra.FinsuppVectorSpace
+import Algebra.Category.Module.EpiMono
+import Algebra.Module.Projective
+import CategoryTheory.Preadditive.Projective
+import LinearAlgebra.FinsuppVectorSpace
#align_import algebra.category.Module.projective from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,17 +2,14 @@
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.category.Module.projective
-! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Algebra.Category.Module.EpiMono
import Mathbin.Algebra.Module.Projective
import Mathbin.CategoryTheory.Preadditive.Projective
import Mathbin.LinearAlgebra.FinsuppVectorSpace
+#align_import algebra.category.Module.projective from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"
+
/-!
# The category of `R`-modules has enough projectives.
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -29,7 +29,7 @@ open CategoryTheory.Limits
open LinearMap
-open ModuleCat
+open scoped ModuleCat
#print IsProjective.iff_projective /-
/-- The categorical notion of projective object agrees with the explicit module-theoretic notion. -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/1b0a28e1c93409dbf6d69526863cd9984ef652ce
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
! This file was ported from Lean 3 source module algebra.category.Module.projective
-! leanprover-community/mathlib commit 201a3f4a0e59b5f836fe8a6c1a462ee674327211
+! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -15,6 +15,9 @@ import Mathbin.LinearAlgebra.FinsuppVectorSpace
/-!
# The category of `R`-modules has enough projectives.
+
+> 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/f51de8769c34652d82d1c8e5f8f18f8374782bed
@@ -28,6 +28,7 @@ open LinearMap
open ModuleCat
+#print IsProjective.iff_projective /-
/-- The categorical notion of projective object agrees with the explicit module-theoretic notion. -/
theorem IsProjective.iff_projective {R : Type u} [Ring R] {P : Type max u v} [AddCommGroup P]
[Module R P] : Module.Projective R P ↔ Projective (ModuleCat.of R P) :=
@@ -43,18 +44,22 @@ theorem IsProjective.iff_projective {R : Type u} [Ring R] {P : Type max u v} [Ad
letI : projective (ModuleCat.of R P) := h
exact ⟨projective.factor_thru (↟g) (↟f), projective.factor_thru_comp (↟g) (↟f)⟩
#align is_projective.iff_projective IsProjective.iff_projective
+-/
namespace ModuleCat
variable {R : Type u} [Ring R] {M : ModuleCat.{max u v} R}
+#print ModuleCat.projective_of_free /-
-- We transport the corresponding result from `module.projective`.
/-- Modules that have a basis are projective. -/
theorem projective_of_free {ι : Type _} (b : Basis ι R M) : Projective M :=
Projective.of_iso (ModuleCat.ofSelfIso _)
(IsProjective.iff_projective.mp (Module.Projective.of_basis b))
#align Module.projective_of_free ModuleCat.projective_of_free
+-/
+#print ModuleCat.moduleCat_enoughProjectives /-
/-- The category of modules has enough projectives, since every module is a quotient of a free
module. -/
instance moduleCat_enoughProjectives : EnoughProjectives (ModuleCat.{max u v} R)
@@ -66,6 +71,7 @@ instance moduleCat_enoughProjectives : EnoughProjectives (ModuleCat.{max u v} R)
(epi_iff_range_eq_top _).mpr
(range_eq_top.2 fun m => ⟨Finsupp.single m (1 : R), by simp [Basis.constr]⟩) }⟩
#align Module.Module_enough_projectives ModuleCat.moduleCat_enoughProjectives
+-/
end ModuleCat
mathlib commit https://github.com/leanprover-community/mathlib/commit/e05ead7993520a432bec94ac504842d90707ad63
@@ -37,7 +37,7 @@ theorem IsProjective.iff_projective {R : Type u} [Ring R] {P : Type max u v} [Ad
exact
⟨fun E X f e epi =>
Module.projective_lifting_property _ _ ((ModuleCat.epi_iff_surjective _).mp epi)⟩
- · refine' Module.projectiveOfLiftingProperty _
+ · refine' Module.Projective.of_lifting_property _
intro E X mE mX sE sX f g s
haveI : epi (↟f) := (ModuleCat.epi_iff_surjective (↟f)).mpr s
letI : projective (ModuleCat.of R P) := h
@@ -52,7 +52,7 @@ variable {R : Type u} [Ring R] {M : ModuleCat.{max u v} R}
/-- Modules that have a basis are projective. -/
theorem projective_of_free {ι : Type _} (b : Basis ι R M) : Projective M :=
Projective.of_iso (ModuleCat.ofSelfIso _)
- (IsProjective.iff_projective.mp (Module.projectiveOfBasis b))
+ (IsProjective.iff_projective.mp (Module.Projective.of_basis b))
#align Module.projective_of_free ModuleCat.projective_of_free
/-- The category of modules has enough projectives, since every module is a quotient of a free
mathlib commit https://github.com/leanprover-community/mathlib/commit/3cacc945118c8c637d89950af01da78307f59325
@@ -59,7 +59,7 @@ theorem projective_of_free {ι : Type _} (b : Basis ι R M) : Projective M :=
module. -/
instance moduleCat_enoughProjectives : EnoughProjectives (ModuleCat.{max u v} R)
where presentation M :=
- ⟨{ P := ModuleCat.of R (M →₀ R)
+ ⟨{ p := ModuleCat.of R (M →₀ R)
Projective := projective_of_free Finsupp.basisSingleOne
f := Finsupp.basisSingleOne.constr ℕ id
Epi :=
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
... or reduce its scope (the full removal is not as obvious).
@@ -15,9 +15,7 @@ import Mathlib.Data.Finsupp.Basic
# The category of `R`-modules has enough projectives.
-/
-set_option autoImplicit true
-
-universe v u
+universe v u u'
open CategoryTheory
@@ -69,7 +69,9 @@ instance moduleCat_enoughProjectives : EnoughProjectives (ModuleCat.{max u v} R)
-- Porting note: simp [Finsupp.total_single] fails but rw succeeds
dsimp [Basis.constr]
simp only [Finsupp.lmapDomain_id, comp_id]
- rw [Finsupp.total_single, one_smul]
+ -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+ erw [Finsupp.total_single]
+ rw [one_smul]
rfl ⟩) }⟩
set_option linter.uppercaseLean3 false in
#align Module.Module_enough_projectives ModuleCat.moduleCat_enoughProjectives
@@ -69,9 +69,7 @@ instance moduleCat_enoughProjectives : EnoughProjectives (ModuleCat.{max u v} R)
-- Porting note: simp [Finsupp.total_single] fails but rw succeeds
dsimp [Basis.constr]
simp only [Finsupp.lmapDomain_id, comp_id]
- -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
- erw [Finsupp.total_single]
- rw [one_smul]
+ rw [Finsupp.total_single, one_smul]
rfl ⟩) }⟩
set_option linter.uppercaseLean3 false in
#align Module.Module_enough_projectives ModuleCat.moduleCat_enoughProjectives
@@ -69,7 +69,9 @@ instance moduleCat_enoughProjectives : EnoughProjectives (ModuleCat.{max u v} R)
-- Porting note: simp [Finsupp.total_single] fails but rw succeeds
dsimp [Basis.constr]
simp only [Finsupp.lmapDomain_id, comp_id]
- rw [Finsupp.total_single, one_smul]
+ -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+ erw [Finsupp.total_single]
+ rw [one_smul]
rfl ⟩) }⟩
set_option linter.uppercaseLean3 false in
#align Module.Module_enough_projectives ModuleCat.moduleCat_enoughProjectives
Autoimplicits are highly controversial and also defeat the performance-improving work in #6474.
The intent of this PR is to make autoImplicit
opt-in on a per-file basis, by disabling it in the lakefile and enabling it again with set_option autoImplicit true
in the few files that rely on it.
That also keeps this PR small, as opposed to attempting to "fix" files to not need it any more.
I claim that many of the uses of autoImplicit
in these files are accidental; situations such as:
variables
are in scope, but pasting the lemma in the wrong sectionHaving set_option autoImplicit false
as the default prevents these types of mistake being made in the 90% of files where autoImplicit
s are not used at all, and causes them to be caught by CI during review.
I think there were various points during the port where we encouraged porters to delete the universes u v
lines; I think having autoparams for universe variables only would cover a lot of the cases we actually use them, while avoiding any real shortcomings.
A Zulip poll (after combining overlapping votes accordingly) was in favor of this change with 5:5:18
as the no:dontcare:yes
vote ratio.
While this PR was being reviewed, a handful of files gained some more likely-accidental autoImplicits. In these places, set_option autoImplicit true
has been placed locally within a section, rather than at the top of the file.
@@ -15,6 +15,8 @@ import Mathlib.Data.Finsupp.Basic
# The category of `R`-modules has enough projectives.
-/
+set_option autoImplicit true
+
universe v u
open CategoryTheory
@@ -2,11 +2,6 @@
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.category.Module.projective
-! leanprover-community/mathlib commit 201a3f4a0e59b5f836fe8a6c1a462ee674327211
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Algebra.Category.ModuleCat.EpiMono
import Mathlib.Algebra.Module.Projective
@@ -14,6 +9,8 @@ import Mathlib.CategoryTheory.Preadditive.Projective
import Mathlib.LinearAlgebra.FinsuppVectorSpace
import Mathlib.Data.Finsupp.Basic
+#align_import algebra.category.Module.projective from "leanprover-community/mathlib"@"201a3f4a0e59b5f836fe8a6c1a462ee674327211"
+
/-!
# The category of `R`-modules has enough projectives.
-/
The unported dependencies are