category_theory.limits.essentially_small
⟷
Mathlib.CategoryTheory.Limits.EssentiallySmall
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
@@ -3,8 +3,8 @@ Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
-import Mathbin.CategoryTheory.Limits.Shapes.Products
-import Mathbin.CategoryTheory.EssentiallySmall
+import CategoryTheory.Limits.Shapes.Products
+import CategoryTheory.EssentiallySmall
#align_import category_theory.limits.essentially_small from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-
-! This file was ported from Lean 3 source module category_theory.limits.essentially_small
-! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.CategoryTheory.Limits.Shapes.Products
import Mathbin.CategoryTheory.EssentiallySmall
+#align_import category_theory.limits.essentially_small from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
+
/-!
# Limits over essentially small indexing categories
mathlib commit https://github.com/leanprover-community/mathlib/commit/2196ab363eb097c008d4497125e0dde23fb36db2
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
! This file was ported from Lean 3 source module category_theory.limits.essentially_small
-! leanprover-community/mathlib commit 952e7ee9eaf835f322f2d01ca6cf06ed0ab6d2c5
+! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.EssentiallySmall
/-!
# Limits over essentially small indexing categories
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
If `C` has limits of size `w` and `J` is `w`-essentially small, then `C` has limits of shape `J`.
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212
@@ -32,7 +32,7 @@ variable (J : Type u₂) [Category.{v₂} J] (C : Type u₁) [Category.{v₁} C]
#print CategoryTheory.Limits.hasLimitsOfShape_of_essentiallySmall /-
theorem hasLimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
[HasLimitsOfSize.{w₁, w₁} C] : HasLimitsOfShape J C :=
- hasLimitsOfShapeOfEquivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
+ hasLimitsOfShape_of_equivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
#align category_theory.limits.has_limits_of_shape_of_essentially_small CategoryTheory.Limits.hasLimitsOfShape_of_essentiallySmall
-/
@@ -46,7 +46,7 @@ theorem hasColimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
#print CategoryTheory.Limits.hasProductsOfShape_of_small /-
theorem hasProductsOfShape_of_small (β : Type w₂) [Small.{w₁} β] [HasProducts.{w₁} C] :
HasProductsOfShape β C :=
- hasLimitsOfShapeOfEquivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
+ hasLimitsOfShape_of_equivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
#align category_theory.limits.has_products_of_shape_of_small CategoryTheory.Limits.hasProductsOfShape_of_small
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/ddec54a71a0dd025c05445d467f1a2b7d586a3ba
@@ -29,25 +29,33 @@ namespace CategoryTheory.Limits
variable (J : Type u₂) [Category.{v₂} J] (C : Type u₁) [Category.{v₁} C]
+#print CategoryTheory.Limits.hasLimitsOfShape_of_essentiallySmall /-
theorem hasLimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
[HasLimitsOfSize.{w₁, w₁} C] : HasLimitsOfShape J C :=
hasLimitsOfShapeOfEquivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
#align category_theory.limits.has_limits_of_shape_of_essentially_small CategoryTheory.Limits.hasLimitsOfShape_of_essentiallySmall
+-/
+#print CategoryTheory.Limits.hasColimitsOfShape_of_essentiallySmall /-
theorem hasColimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
[HasColimitsOfSize.{w₁, w₁} C] : HasColimitsOfShape J C :=
hasColimitsOfShape_of_equivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
#align category_theory.limits.has_colimits_of_shape_of_essentially_small CategoryTheory.Limits.hasColimitsOfShape_of_essentiallySmall
+-/
+#print CategoryTheory.Limits.hasProductsOfShape_of_small /-
theorem hasProductsOfShape_of_small (β : Type w₂) [Small.{w₁} β] [HasProducts.{w₁} C] :
HasProductsOfShape β C :=
hasLimitsOfShapeOfEquivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
#align category_theory.limits.has_products_of_shape_of_small CategoryTheory.Limits.hasProductsOfShape_of_small
+-/
+#print CategoryTheory.Limits.hasCoproductsOfShape_of_small /-
theorem hasCoproductsOfShape_of_small (β : Type w₂) [Small.{w₁} β] [HasCoproducts.{w₁} C] :
HasCoproductsOfShape β C :=
hasColimitsOfShape_of_equivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
#align category_theory.limits.has_coproducts_of_shape_of_small CategoryTheory.Limits.hasCoproductsOfShape_of_small
+-/
end CategoryTheory.Limits
mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211
@@ -31,7 +31,7 @@ variable (J : Type u₂) [Category.{v₂} J] (C : Type u₁) [Category.{v₁} C]
theorem hasLimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
[HasLimitsOfSize.{w₁, w₁} C] : HasLimitsOfShape J C :=
- hasLimitsOfShape_of_equivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
+ hasLimitsOfShapeOfEquivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
#align category_theory.limits.has_limits_of_shape_of_essentially_small CategoryTheory.Limits.hasLimitsOfShape_of_essentiallySmall
theorem hasColimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
@@ -41,7 +41,7 @@ theorem hasColimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
theorem hasProductsOfShape_of_small (β : Type w₂) [Small.{w₁} β] [HasProducts.{w₁} C] :
HasProductsOfShape β C :=
- hasLimitsOfShape_of_equivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
+ hasLimitsOfShapeOfEquivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
#align category_theory.limits.has_products_of_shape_of_small CategoryTheory.Limits.hasProductsOfShape_of_small
theorem hasCoproductsOfShape_of_small (β : Type w₂) [Small.{w₁} β] [HasCoproducts.{w₁} C] :
mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee
@@ -29,24 +29,24 @@ namespace CategoryTheory.Limits
variable (J : Type u₂) [Category.{v₂} J] (C : Type u₁) [Category.{v₁} C]
-theorem hasLimitsOfShapeOfEssentiallySmall [EssentiallySmall.{w₁} J] [HasLimitsOfSize.{w₁, w₁} C] :
- HasLimitsOfShape J C :=
- hasLimitsOfShapeOfEquivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
-#align category_theory.limits.has_limits_of_shape_of_essentially_small CategoryTheory.Limits.hasLimitsOfShapeOfEssentiallySmall
+theorem hasLimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
+ [HasLimitsOfSize.{w₁, w₁} C] : HasLimitsOfShape J C :=
+ hasLimitsOfShape_of_equivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
+#align category_theory.limits.has_limits_of_shape_of_essentially_small CategoryTheory.Limits.hasLimitsOfShape_of_essentiallySmall
-theorem hasColimitsOfShapeOfEssentiallySmall [EssentiallySmall.{w₁} J]
+theorem hasColimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
[HasColimitsOfSize.{w₁, w₁} C] : HasColimitsOfShape J C :=
- hasColimitsOfShapeOfEquivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
-#align category_theory.limits.has_colimits_of_shape_of_essentially_small CategoryTheory.Limits.hasColimitsOfShapeOfEssentiallySmall
+ hasColimitsOfShape_of_equivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
+#align category_theory.limits.has_colimits_of_shape_of_essentially_small CategoryTheory.Limits.hasColimitsOfShape_of_essentiallySmall
theorem hasProductsOfShape_of_small (β : Type w₂) [Small.{w₁} β] [HasProducts.{w₁} C] :
HasProductsOfShape β C :=
- hasLimitsOfShapeOfEquivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
+ hasLimitsOfShape_of_equivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
#align category_theory.limits.has_products_of_shape_of_small CategoryTheory.Limits.hasProductsOfShape_of_small
theorem hasCoproductsOfShape_of_small (β : Type w₂) [Small.{w₁} β] [HasCoproducts.{w₁} C] :
HasCoproductsOfShape β C :=
- hasColimitsOfShapeOfEquivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
+ hasColimitsOfShape_of_equivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
#align category_theory.limits.has_coproducts_of_shape_of_small CategoryTheory.Limits.hasCoproductsOfShape_of_small
end CategoryTheory.Limits
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -13,6 +13,8 @@ import Mathlib.CategoryTheory.EssentiallySmall
If `C` has limits of size `w` and `J` is `w`-essentially small, then `C` has limits of shape `J`.
+See also the file `FinallySmall.lean` for more general results.
+
-/
@@ -2,15 +2,12 @@
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-
-! This file was ported from Lean 3 source module category_theory.limits.essentially_small
-! leanprover-community/mathlib commit 952e7ee9eaf835f322f2d01ca6cf06ed0ab6d2c5
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.CategoryTheory.Limits.Shapes.Products
import Mathlib.CategoryTheory.EssentiallySmall
+#align_import category_theory.limits.essentially_small from "leanprover-community/mathlib"@"952e7ee9eaf835f322f2d01ca6cf06ed0ab6d2c5"
+
/-!
# Limits over essentially small indexing categories
@@ -31,7 +31,7 @@ variable (J : Type u₂) [Category.{v₂} J] (C : Type u₁) [Category.{v₁} C]
theorem hasLimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
[HasLimitsOfSize.{w₁, w₁} C] : HasLimitsOfShape J C :=
- hasLimitsOfShapeOfEquivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
+ hasLimitsOfShape_of_equivalence <| Equivalence.symm <| equivSmallModel.{w₁} J
#align category_theory.limits.has_limits_of_shape_of_essentially_small CategoryTheory.Limits.hasLimitsOfShape_of_essentiallySmall
theorem hasColimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
@@ -41,7 +41,7 @@ theorem hasColimitsOfShape_of_essentiallySmall [EssentiallySmall.{w₁} J]
theorem hasProductsOfShape_of_small (β : Type w₂) [Small.{w₁} β] [HasProducts.{w₁} C] :
HasProductsOfShape β C :=
- hasLimitsOfShapeOfEquivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
+ hasLimitsOfShape_of_equivalence <| Discrete.equivalence <| Equiv.symm <| equivShrink β
#align category_theory.limits.has_products_of_shape_of_small CategoryTheory.Limits.hasProductsOfShape_of_small
theorem hasCoproductsOfShape_of_small (β : Type w₂) [Small.{w₁} β] [HasCoproducts.{w₁} C] :
@@ -50,4 +50,3 @@ theorem hasCoproductsOfShape_of_small (β : Type w₂) [Small.{w₁} β] [HasCop
#align category_theory.limits.has_coproducts_of_shape_of_small CategoryTheory.Limits.hasCoproductsOfShape_of_small
end CategoryTheory.Limits
-
All dependencies are ported!