category_theory.limits.constructions.over.connected
⟷
Mathlib.CategoryTheory.Limits.Constructions.Over.Connected
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
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
import CategoryTheory.Limits.Creates
-import CategoryTheory.Over
+import CategoryTheory.Comma.Over
import CategoryTheory.IsConnected
#align_import category_theory.limits.constructions.over.connected from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,9 +3,9 @@ Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
-import Mathbin.CategoryTheory.Limits.Creates
-import Mathbin.CategoryTheory.Over
-import Mathbin.CategoryTheory.IsConnected
+import CategoryTheory.Limits.Creates
+import CategoryTheory.Over
+import CategoryTheory.IsConnected
#align_import category_theory.limits.constructions.over.connected from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,16 +2,13 @@
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.limits.constructions.over.connected
-! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.CategoryTheory.Limits.Creates
import Mathbin.CategoryTheory.Over
import Mathbin.CategoryTheory.IsConnected
+#align_import category_theory.limits.constructions.over.connected from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
+
/-!
# Connected limits in the over category
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -40,12 +40,14 @@ namespace CategoryTheory.Over
namespace CreatesConnected
+#print CategoryTheory.Over.CreatesConnected.natTransInOver /-
/-- (Impl) Given a diagram in the over category, produce a natural transformation from the
diagram legs to the specific object.
-/
def natTransInOver {B : C} (F : J ⥤ Over B) : F ⋙ forget B ⟶ (CategoryTheory.Functor.const J).obj B
where app j := (F.obj j).Hom
#align category_theory.over.creates_connected.nat_trans_in_over CategoryTheory.Over.CreatesConnected.natTransInOver
+-/
attribute [local tidy] tactic.case_bash
@@ -64,9 +66,11 @@ def raiseCone [IsConnected J] {B : C} {F : J ⥤ Over B} (c : Cone (F ⋙ forget
#align category_theory.over.creates_connected.raise_cone CategoryTheory.Over.CreatesConnected.raiseCone
-/
+#print CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original /-
theorem raised_cone_lowers_to_original [IsConnected J] {B : C} {F : J ⥤ Over B}
(c : Cone (F ⋙ forget B)) (t : IsLimit c) : (forget B).mapCone (raiseCone c) = c := by tidy
#align category_theory.over.creates_connected.raised_cone_lowers_to_original CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original
+-/
#print CategoryTheory.Over.CreatesConnected.raisedConeIsLimit /-
/-- (Impl) Show that the raised cone is a limit. -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -40,12 +40,6 @@ namespace CategoryTheory.Over
namespace CreatesConnected
-/- warning: category_theory.over.creates_connected.nat_trans_in_over -> CategoryTheory.Over.CreatesConnected.natTransInOver is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align category_theory.over.creates_connected.nat_trans_in_over CategoryTheory.Over.CreatesConnected.natTransInOverₓ'. -/
/-- (Impl) Given a diagram in the over category, produce a natural transformation from the
diagram legs to the specific object.
-/
@@ -70,12 +64,6 @@ def raiseCone [IsConnected J] {B : C} {F : J ⥤ Over B} (c : Cone (F ⋙ forget
#align category_theory.over.creates_connected.raise_cone CategoryTheory.Over.CreatesConnected.raiseCone
-/
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theorem raised_cone_lowers_to_original [IsConnected J] {B : C} {F : J ⥤ Over B}
(c : Cone (F ⋙ forget B)) (t : IsLimit c) : (forget B).mapCone (raiseCone c) = c := by tidy
#align category_theory.over.creates_connected.raised_cone_lowers_to_original CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -85,16 +85,8 @@ theorem raised_cone_lowers_to_original [IsConnected J] {B : C} {F : J ⥤ Over B
def raisedConeIsLimit [IsConnected J] {B : C} {F : J ⥤ Over B} {c : Cone (F ⋙ forget B)}
(t : IsLimit c) : IsLimit (raiseCone c)
where
- lift s :=
- Over.homMk (t.lift ((forget B).mapCone s))
- (by
- dsimp
- simp)
- uniq s m K := by
- ext1
- apply t.hom_ext
- intro j
- simp [← K j]
+ lift s := Over.homMk (t.lift ((forget B).mapCone s)) (by dsimp; simp)
+ uniq s m K := by ext1; apply t.hom_ext; intro j; simp [← K j]
#align category_theory.over.creates_connected.raised_cone_is_limit CategoryTheory.Over.CreatesConnected.raisedConeIsLimit
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
! This file was ported from Lean 3 source module category_theory.limits.constructions.over.connected
-! leanprover-community/mathlib commit d6814c584384ddf2825ff038e868451a7c956f31
+! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -15,6 +15,9 @@ import Mathbin.CategoryTheory.IsConnected
/-!
# Connected limits in the over category
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
Shows that the forgetful functor `over B ⥤ C` creates connected limits, in particular `over B` has
any connected limit which `C` has.
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/2af0836443b4cfb5feda0df0051acdb398304931
@@ -37,6 +37,12 @@ namespace CategoryTheory.Over
namespace CreatesConnected
+/- warning: category_theory.over.creates_connected.nat_trans_in_over -> CategoryTheory.Over.CreatesConnected.natTransInOver is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.over.creates_connected.nat_trans_in_over CategoryTheory.Over.CreatesConnected.natTransInOverₓ'. -/
/-- (Impl) Given a diagram in the over category, produce a natural transformation from the
diagram legs to the specific object.
-/
@@ -46,6 +52,7 @@ def natTransInOver {B : C} (F : J ⥤ Over B) : F ⋙ forget B ⟶ (CategoryTheo
attribute [local tidy] tactic.case_bash
+#print CategoryTheory.Over.CreatesConnected.raiseCone /-
/-- (Impl) Given a cone in the base category, raise it to a cone in the over category. Note this is
where the connected assumption is used.
-/
@@ -58,11 +65,19 @@ def raiseCone [IsConnected J] {B : C} {F : J ⥤ Over B} (c : Cone (F ⋙ forget
app := fun j =>
Over.homMk (c.π.app j) (nat_trans_from_is_connected (c.π ≫ natTransInOver F) j _) }
#align category_theory.over.creates_connected.raise_cone CategoryTheory.Over.CreatesConnected.raiseCone
+-/
+/- warning: category_theory.over.creates_connected.raised_cone_lowers_to_original -> CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original is a dubious translation:
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+ forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] {C : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} C] [_inst_3 : CategoryTheory.IsConnected.{u1, u1} J _inst_1] {B : C} {F : CategoryTheory.Functor.{u1, u1, u1, max u2 u1} J _inst_1 (CategoryTheory.Over.{u1, u2} C _inst_2 B) (CategoryTheory.Over.category.{u2, u1} C _inst_2 B)} (c : CategoryTheory.Limits.Cone.{u1, u1, u1, u2} J _inst_1 C _inst_2 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Over.{u1, u2} C _inst_2 B) (CategoryTheory.Over.category.{u2, u1} C _inst_2 B) C _inst_2 F (CategoryTheory.Over.forget.{u1, u2} C _inst_2 B))), (CategoryTheory.Limits.IsLimit.{u1, u1, u1, u2} J _inst_1 C _inst_2 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Over.{u1, u2} C _inst_2 B) (CategoryTheory.Over.category.{u2, u1} C _inst_2 B) C _inst_2 F (CategoryTheory.Over.forget.{u1, u2} C _inst_2 B)) c) -> (Eq.{max (succ u2) (succ u1)} (CategoryTheory.Limits.Cone.{u1, u1, u1, u2} J _inst_1 C _inst_2 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Over.{u1, u2} C _inst_2 B) (CategoryTheory.commaCategory.{u1, u1, u1, u2, u1, u2} C _inst_2 (CategoryTheory.Discrete.{u1} PUnit.{succ u1}) (CategoryTheory.discreteCategory.{u1} PUnit.{succ u1}) C _inst_2 (CategoryTheory.Functor.id.{u1, u2} C _inst_2) (CategoryTheory.Functor.fromPUnit.{u1, u2} C _inst_2 B)) C _inst_2 F (CategoryTheory.Over.forget.{u1, u2} C _inst_2 B))) (CategoryTheory.Functor.mapCone.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Over.{u1, u2} C _inst_2 B) (CategoryTheory.commaCategory.{u1, u1, u1, u2, u1, u2} C _inst_2 (CategoryTheory.Discrete.{u1} PUnit.{succ u1}) (CategoryTheory.discreteCategory.{u1} PUnit.{succ u1}) C _inst_2 (CategoryTheory.Functor.id.{u1, u2} C _inst_2) (CategoryTheory.Functor.fromPUnit.{u1, u2} C _inst_2 B)) C _inst_2 F (CategoryTheory.Over.forget.{u1, u2} C _inst_2 B) (CategoryTheory.Over.CreatesConnected.raiseCone.{u1, u2} J _inst_1 C _inst_2 _inst_3 B F c)) c)
+but is expected to have type
+ forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] {C : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} C] [_inst_3 : CategoryTheory.IsConnected.{u1, u1} J _inst_1] {B : C} {F : CategoryTheory.Functor.{u1, u1, u1, max u2 u1} J _inst_1 (CategoryTheory.Over.{u1, u2} C _inst_2 B) (CategoryTheory.instCategoryOver.{u1, u2} C _inst_2 B)} (c : CategoryTheory.Limits.Cone.{u1, u1, u1, u2} J _inst_1 C _inst_2 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Over.{u1, u2} C _inst_2 B) (CategoryTheory.instCategoryOver.{u1, u2} C _inst_2 B) C _inst_2 F (CategoryTheory.Over.forget.{u1, u2} C _inst_2 B))), Eq.{max (succ u2) (succ u1)} (CategoryTheory.Limits.Cone.{u1, u1, u1, u2} J _inst_1 C _inst_2 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Over.{u1, u2} C _inst_2 B) (CategoryTheory.instCategoryOver.{u1, u2} C _inst_2 B) C _inst_2 F (CategoryTheory.Over.forget.{u1, u2} C _inst_2 B))) (CategoryTheory.Functor.mapCone.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Over.{u1, u2} C _inst_2 B) (CategoryTheory.instCategoryOver.{u1, u2} C _inst_2 B) C _inst_2 (CategoryTheory.Over.forget.{u1, u2} C _inst_2 B) F (CategoryTheory.Over.CreatesConnected.raiseCone.{u1, u2} J _inst_1 C _inst_2 _inst_3 B F c)) c
+Case conversion may be inaccurate. Consider using '#align category_theory.over.creates_connected.raised_cone_lowers_to_original CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_originalₓ'. -/
theorem raised_cone_lowers_to_original [IsConnected J] {B : C} {F : J ⥤ Over B}
(c : Cone (F ⋙ forget B)) (t : IsLimit c) : (forget B).mapCone (raiseCone c) = c := by tidy
#align category_theory.over.creates_connected.raised_cone_lowers_to_original CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original
+#print CategoryTheory.Over.CreatesConnected.raisedConeIsLimit /-
/-- (Impl) Show that the raised cone is a limit. -/
def raisedConeIsLimit [IsConnected J] {B : C} {F : J ⥤ Over B} {c : Cone (F ⋙ forget B)}
(t : IsLimit c) : IsLimit (raiseCone c)
@@ -78,9 +93,11 @@ def raisedConeIsLimit [IsConnected J] {B : C} {F : J ⥤ Over B} {c : Cone (F
intro j
simp [← K j]
#align category_theory.over.creates_connected.raised_cone_is_limit CategoryTheory.Over.CreatesConnected.raisedConeIsLimit
+-/
end CreatesConnected
+#print CategoryTheory.Over.forgetCreatesConnectedLimits /-
/-- The forgetful functor from the over category creates any connected limit. -/
instance forgetCreatesConnectedLimits [IsConnected J] {B : C} : CreatesLimitsOfShape J (forget B)
where CreatesLimit K :=
@@ -89,11 +106,14 @@ instance forgetCreatesConnectedLimits [IsConnected J] {B : C} : CreatesLimitsOfS
validLift := eqToIso (CreatesConnected.raised_cone_lowers_to_original c t)
makesLimit := CreatesConnected.raisedConeIsLimit t }
#align category_theory.over.forget_creates_connected_limits CategoryTheory.Over.forgetCreatesConnectedLimits
+-/
+#print CategoryTheory.Over.has_connected_limits /-
/-- The over category has any connected limit which the original category has. -/
instance has_connected_limits {B : C} [IsConnected J] [HasLimitsOfShape J C] :
HasLimitsOfShape J (Over B) where HasLimit F := hasLimit_of_created F (forget B)
#align category_theory.over.has_connected_limits CategoryTheory.Over.has_connected_limits
+-/
end CategoryTheory.Over
mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211
@@ -52,7 +52,7 @@ where the connected assumption is used.
@[simps]
def raiseCone [IsConnected J] {B : C} {F : J ⥤ Over B} (c : Cone (F ⋙ forget B)) : Cone F
where
- x := Over.mk (c.π.app (Classical.arbitrary J) ≫ (F.obj (Classical.arbitrary J)).Hom)
+ pt := Over.mk (c.π.app (Classical.arbitrary J) ≫ (F.obj (Classical.arbitrary J)).Hom)
π :=
{
app := fun j =>
mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee
@@ -72,7 +72,7 @@ def raisedConeIsLimit [IsConnected J] {B : C} {F : J ⥤ Over B} {c : Cone (F
(by
dsimp
simp)
- uniq' s m K := by
+ uniq s m K := by
ext1
apply t.hom_ext
intro j
@@ -91,9 +91,9 @@ instance forgetCreatesConnectedLimits [IsConnected J] {B : C} : CreatesLimitsOfS
#align category_theory.over.forget_creates_connected_limits CategoryTheory.Over.forgetCreatesConnectedLimits
/-- The over category has any connected limit which the original category has. -/
-instance hasConnectedLimits {B : C} [IsConnected J] [HasLimitsOfShape J C] :
- HasLimitsOfShape J (Over B) where HasLimit F := hasLimitOfCreated F (forget B)
-#align category_theory.over.has_connected_limits CategoryTheory.Over.hasConnectedLimits
+instance has_connected_limits {B : C} [IsConnected J] [HasLimitsOfShape J C] :
+ HasLimitsOfShape J (Over B) where HasLimit F := hasLimit_of_created F (forget B)
+#align category_theory.over.has_connected_limits CategoryTheory.Over.has_connected_limits
end CategoryTheory.Over
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Empty lines were removed by executing the following Python script twice
import os
import re
# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
for filename in files:
if filename.endswith('.lean'):
file_path = os.path.join(dir_path, filename)
# Open the file and read its contents
with open(file_path, 'r') as file:
content = file.read()
# Use a regular expression to replace sequences of "variable" lines separated by empty lines
# with sequences without empty lines
modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)
# Write the modified content back to the file
with open(file_path, 'w') as file:
file.write(modified_content)
@@ -25,9 +25,7 @@ noncomputable section
open CategoryTheory CategoryTheory.Limits
variable {J : Type v} [SmallCategory J]
-
variable {C : Type u} [Category.{v} C]
-
variable {X : C}
namespace CategoryTheory.Over
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
import Mathlib.CategoryTheory.Limits.Creates
-import Mathlib.CategoryTheory.Over
+import Mathlib.CategoryTheory.Comma.Over
import Mathlib.CategoryTheory.IsConnected
#align_import category_theory.limits.constructions.over.connected from "leanprover-community/mathlib"@"d6814c584384ddf2825ff038e868451a7c956f31"
@@ -2,16 +2,13 @@
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.limits.constructions.over.connected
-! leanprover-community/mathlib commit d6814c584384ddf2825ff038e868451a7c956f31
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.CategoryTheory.Limits.Creates
import Mathlib.CategoryTheory.Over
import Mathlib.CategoryTheory.IsConnected
+#align_import category_theory.limits.constructions.over.connected from "leanprover-community/mathlib"@"d6814c584384ddf2825ff038e868451a7c956f31"
+
/-!
# Connected limits in the over category
@@ -64,7 +64,7 @@ def raiseCone [IsConnected J] {B : C} {F : J ⥤ Over B} (c : Cone (F ⋙ forget
theorem raised_cone_lowers_to_original [IsConnected J] {B : C} {F : J ⥤ Over B}
(c : Cone (F ⋙ forget B)) :
- (forget B).mapCone (raiseCone c) = c := by aesop_cat
+ (forget B).mapCone (raiseCone c) = c := by aesop_cat
#align category_theory.over.creates_connected.raised_cone_lowers_to_original CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original
/-- (Impl) Show that the raised cone is a limit. -/
@@ -72,9 +72,6 @@ def raisedConeIsLimit [IsConnected J] {B : C} {F : J ⥤ Over B} {c : Cone (F
(t : IsLimit c) : IsLimit (raiseCone c) where
lift s :=
Over.homMk (t.lift ((forget B).mapCone s))
- (by
- dsimp
- simp)
uniq s m K := by
ext1
apply t.hom_ext
@@ -96,7 +93,8 @@ instance forgetCreatesConnectedLimits [IsConnected J] {B : C} :
/-- The over category has any connected limit which the original category has. -/
instance has_connected_limits {B : C} [IsConnected J] [HasLimitsOfShape J C] :
- HasLimitsOfShape J (Over B) where has_limit F := hasLimit_of_created F (forget B)
+ HasLimitsOfShape J (Over B) where
+ has_limit F := hasLimit_of_created F (forget B)
#align category_theory.over.has_connected_limits CategoryTheory.Over.has_connected_limits
end CategoryTheory.Over
The unported dependencies are