category_theory.limits.essentially_smallMathlib.CategoryTheory.Limits.EssentiallySmall

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.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -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"
 
Diff
@@ -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
 
Diff
@@ -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`.
 
 -/
Diff
@@ -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
 -/
 
Diff
@@ -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
 
Diff
@@ -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] :
Diff
@@ -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

Changes in mathlib4

mathlib3
mathlib4
feat: finally small categories (#6264)
Diff
@@ -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.
+
 -/
 
 
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
@@ -2,15 +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
 
feat: port CategoryTheory.Limits.Opposites (#2805)

Co-authored-by: Johan Commelin <johan@commelin.net>

Diff
@@ -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
-
feat: port CategoryTheory.Limits.EssentiallySmall (#2778)

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

Dependencies 103

104 files ported (100.0%)
39353 lines ported (100.0%)

All dependencies are ported!