category_theory.adjunction.adjoint_functor_theoremsMathlib.CategoryTheory.Adjunction.AdjointFunctorTheorems

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
@@ -3,11 +3,11 @@ Copyright (c) 2021 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
 -/
-import Mathbin.CategoryTheory.Generator
-import Mathbin.CategoryTheory.Limits.ConeCategory
-import Mathbin.CategoryTheory.Limits.Constructions.WeaklyInitial
-import Mathbin.CategoryTheory.Limits.FunctorCategory
-import Mathbin.CategoryTheory.Subobject.Comma
+import CategoryTheory.Generator
+import CategoryTheory.Limits.ConeCategory
+import CategoryTheory.Limits.Constructions.WeaklyInitial
+import CategoryTheory.Limits.FunctorCategory
+import CategoryTheory.Subobject.Comma
 
 #align_import category_theory.adjunction.adjoint_functor_theorems from "leanprover-community/mathlib"@"9d2f0748e6c50d7a2657c564b1ff2c695b39148d"
 
Diff
@@ -2,11 +2,6 @@
 Copyright (c) 2021 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.adjunction.adjoint_functor_theorems
-! leanprover-community/mathlib commit 9d2f0748e6c50d7a2657c564b1ff2c695b39148d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Generator
 import Mathbin.CategoryTheory.Limits.ConeCategory
@@ -14,6 +9,8 @@ import Mathbin.CategoryTheory.Limits.Constructions.WeaklyInitial
 import Mathbin.CategoryTheory.Limits.FunctorCategory
 import Mathbin.CategoryTheory.Subobject.Comma
 
+#align_import category_theory.adjunction.adjoint_functor_theorems from "leanprover-community/mathlib"@"9d2f0748e6c50d7a2657c564b1ff2c695b39148d"
+
 /-!
 # Adjoint functor theorem
 
Diff
@@ -64,8 +64,8 @@ adjoint functor theorem to go through.
 -/
 def SolutionSetCondition {D : Type u} [Category.{v} D] (G : D ⥤ C) : Prop :=
   ∀ A : C,
-    ∃ (ι : Type v)(B : ι → D)(f : ∀ i : ι, A ⟶ G.obj (B i)),
-      ∀ (X) (h : A ⟶ G.obj X), ∃ (i : ι)(g : B i ⟶ X), f i ≫ G.map g = h
+    ∃ (ι : Type v) (B : ι → D) (f : ∀ i : ι, A ⟶ G.obj (B i)),
+      ∀ (X) (h : A ⟶ G.obj X), ∃ (i : ι) (g : B i ⟶ X), f i ≫ G.map g = h
 #align category_theory.solution_set_condition CategoryTheory.SolutionSetCondition
 -/
 
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
 
 ! This file was ported from Lean 3 source module category_theory.adjunction.adjoint_functor_theorems
-! leanprover-community/mathlib commit 361aa777b4d262212c31d7c4a245ccb23645c156
+! leanprover-community/mathlib commit 9d2f0748e6c50d7a2657c564b1ff2c695b39148d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -17,6 +17,9 @@ import Mathbin.CategoryTheory.Subobject.Comma
 /-!
 # Adjoint functor theorem
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file proves the (general) adjoint functor theorem, in the form:
 * If `G : D ⥤ C` preserves limits and `D` has limits, and satisfies the solution set condition,
   then it has a left adjoint: `is_right_adjoint_of_preserves_limits_of_solution_set_condition`.
Diff
@@ -50,6 +50,7 @@ variable {J : Type v}
 
 variable {C : Type u} [Category.{v} C]
 
+#print CategoryTheory.SolutionSetCondition /-
 /-- The functor `G : D ⥤ C` satisfies the *solution set condition* if for every `A : C`, there is a
 family of morphisms `{f_i : A ⟶ G (B_i) // i ∈ ι}` such that given any morphism `h : A ⟶ G X`,
 there is some `i ∈ ι` such that `h` factors through `f_i`.
@@ -63,6 +64,7 @@ def SolutionSetCondition {D : Type u} [Category.{v} D] (G : D ⥤ C) : Prop :=
     ∃ (ι : Type v)(B : ι → D)(f : ∀ i : ι, A ⟶ G.obj (B i)),
       ∀ (X) (h : A ⟶ G.obj X), ∃ (i : ι)(g : B i ⟶ X), f i ≫ G.map g = h
 #align category_theory.solution_set_condition CategoryTheory.SolutionSetCondition
+-/
 
 section GeneralAdjointFunctorTheorem
 
@@ -70,6 +72,7 @@ variable {D : Type u} [Category.{v} D]
 
 variable (G : D ⥤ C)
 
+#print CategoryTheory.solutionSetCondition_of_isRightAdjoint /-
 /-- If `G : D ⥤ C` is a right adjoint it satisfies the solution set condition.  -/
 theorem solutionSetCondition_of_isRightAdjoint [IsRightAdjoint G] : SolutionSetCondition G :=
   by
@@ -80,7 +83,9 @@ theorem solutionSetCondition_of_isRightAdjoint [IsRightAdjoint G] : SolutionSetC
   refine' ⟨PUnit.unit, ((adjunction.of_right_adjoint G).homEquiv _ _).symm h, _⟩
   rw [← adjunction.hom_equiv_unit, Equiv.apply_symm_apply]
 #align category_theory.solution_set_condition_of_is_right_adjoint CategoryTheory.solutionSetCondition_of_isRightAdjoint
+-/
 
+#print CategoryTheory.isRightAdjointOfPreservesLimitsOfSolutionSetCondition /-
 /-- The general adjoint functor theorem says that if `G : D ⥤ C` preserves limits and `D` has them,
 if `G` satisfies the solution set condition then `G` is a right adjoint.
 -/
@@ -100,6 +105,7 @@ noncomputable def isRightAdjointOfPreservesLimitsOfSolutionSetCondition [HasLimi
   obtain ⟨T, hT⟩ := has_weakly_initial_of_weakly_initial_set_and_has_products hB'
   apply has_initial_of_weakly_initial_and_has_wide_equalizers hT
 #align category_theory.is_right_adjoint_of_preserves_limits_of_solution_set_condition CategoryTheory.isRightAdjointOfPreservesLimitsOfSolutionSetCondition
+-/
 
 end GeneralAdjointFunctorTheorem
 
@@ -107,6 +113,7 @@ section SpecialAdjointFunctorTheorem
 
 variable {D : Type u'} [Category.{v} D]
 
+#print CategoryTheory.isRightAdjointOfPreservesLimitsOfIsCoseparating /-
 /-- The special adjoint functor theorem: if `G : D ⥤ C` preserves limits and `D` is complete,
 well-powered and has a small coseparating set, then `G` has a left adjoint.
 -/
@@ -117,7 +124,9 @@ noncomputable def isRightAdjointOfPreservesLimitsOfIsCoseparating [HasLimits D]
     hasInitial_of_isCoseparating (StructuredArrow.isCoseparating_proj_preimage A G h𝒢)
   is_right_adjoint_of_structured_arrow_initials _
 #align category_theory.is_right_adjoint_of_preserves_limits_of_is_coseparating CategoryTheory.isRightAdjointOfPreservesLimitsOfIsCoseparating
+-/
 
+#print CategoryTheory.isLeftAdjointOfPreservesColimitsOfIsSeparatig /-
 /-- The special adjoint functor theorem: if `F : C ⥤ D` preserves colimits and `C` is cocomplete,
 well-copowered and has a small separating set, then `F` has a right adjoint.
 -/
@@ -128,11 +137,13 @@ noncomputable def isLeftAdjointOfPreservesColimitsOfIsSeparatig [HasColimits C]
     hasTerminal_of_isSeparating (CostructuredArrow.isSeparating_proj_preimage F A h𝒢)
   is_left_adjoint_of_costructured_arrow_terminals _
 #align category_theory.is_left_adjoint_of_preserves_colimits_of_is_separatig CategoryTheory.isLeftAdjointOfPreservesColimitsOfIsSeparatig
+-/
 
 end SpecialAdjointFunctorTheorem
 
 namespace Limits
 
+#print CategoryTheory.Limits.hasColimits_of_hasLimits_of_isCoseparating /-
 /-- A consequence of the special adjoint functor theorem: if `C` is complete, well-powered and
     has a small coseparating set, then it is cocomplete. -/
 theorem hasColimits_of_hasLimits_of_isCoseparating [HasLimits C] [WellPowered C] {𝒢 : Set C}
@@ -142,7 +153,9 @@ theorem hasColimits_of_hasLimits_of_isCoseparating [HasLimits C] [WellPowered C]
       has_colimits_of_shape_iff_is_right_adjoint_const.2
         ⟨is_right_adjoint_of_preserves_limits_of_is_coseparating h𝒢 _⟩ }
 #align category_theory.limits.has_colimits_of_has_limits_of_is_coseparating CategoryTheory.Limits.hasColimits_of_hasLimits_of_isCoseparating
+-/
 
+#print CategoryTheory.Limits.hasLimits_of_hasColimits_of_isSeparating /-
 /-- A consequence of the special adjoint functor theorem: if `C` is cocomplete, well-copowered and
     has a small separating set, then it is complete. -/
 theorem hasLimits_of_hasColimits_of_isSeparating [HasColimits C] [WellPowered Cᵒᵖ] {𝒢 : Set C}
@@ -152,6 +165,7 @@ theorem hasLimits_of_hasColimits_of_isSeparating [HasColimits C] [WellPowered C
       has_limits_of_shape_iff_is_left_adjoint_const.2
         ⟨is_left_adjoint_of_preserves_colimits_of_is_separatig h𝒢 _⟩ }
 #align category_theory.limits.has_limits_of_has_colimits_of_is_separating CategoryTheory.Limits.hasLimits_of_hasColimits_of_isSeparating
+-/
 
 end Limits
 

Changes in mathlib4

mathlib3
mathlib4
chore: replace refine' that already have a ?_ (#12261)

Co-authored-by: Moritz Firsching <firsching@google.com>

Diff
@@ -80,7 +80,7 @@ if `G` satisfies the solution set condition then `G` is a right adjoint.
 -/
 noncomputable def isRightAdjointOfPreservesLimitsOfSolutionSetCondition [HasLimits D]
     [PreservesLimits G] (hG : SolutionSetCondition G) : IsRightAdjoint G := by
-  refine' @isRightAdjointOfStructuredArrowInitials _ _ _ _ G ?_
+  refine @isRightAdjointOfStructuredArrowInitials _ _ _ _ G ?_
   intro A
   specialize hG A
   choose ι B f g using hG
chore(*): remove empty lines between variable statements (#11418)

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)
Diff
@@ -44,7 +44,6 @@ namespace CategoryTheory
 open Limits
 
 variable {J : Type v}
-
 variable {C : Type u} [Category.{v} C]
 
 /-- The functor `G : D ⥤ C` satisfies the *solution set condition* if for every `A : C`, there is a
@@ -64,7 +63,6 @@ def SolutionSetCondition {D : Type u} [Category.{v} D] (G : D ⥤ C) : Prop :=
 section GeneralAdjointFunctorTheorem
 
 variable {D : Type u} [Category.{v} D]
-
 variable (G : D ⥤ C)
 
 /-- If `G : D ⥤ C` is a right adjoint it satisfies the solution set condition.  -/
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
@@ -2,11 +2,6 @@
 Copyright (c) 2021 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.adjunction.adjoint_functor_theorems
-! leanprover-community/mathlib commit 361aa777b4d262212c31d7c4a245ccb23645c156
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Generator
 import Mathlib.CategoryTheory.Limits.ConeCategory
@@ -14,6 +9,8 @@ import Mathlib.CategoryTheory.Limits.Constructions.WeaklyInitial
 import Mathlib.CategoryTheory.Limits.FunctorCategory
 import Mathlib.CategoryTheory.Subobject.Comma
 
+#align_import category_theory.adjunction.adjoint_functor_theorems from "leanprover-community/mathlib"@"361aa777b4d262212c31d7c4a245ccb23645c156"
+
 /-!
 # Adjoint functor theorem
 
chore: formatting issues (#4947)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

Diff
@@ -60,8 +60,8 @@ adjoint functor theorem to go through.
 -/
 def SolutionSetCondition {D : Type u} [Category.{v} D] (G : D ⥤ C) : Prop :=
   ∀ A : C,
-    ∃ (ι : Type v)(B : ι → D)(f : ∀ i : ι, A ⟶ G.obj (B i)),
-      ∀ (X) (h : A ⟶ G.obj X), ∃ (i : ι)(g : B i ⟶ X), f i ≫ G.map g = h
+    ∃ (ι : Type v) (B : ι → D) (f : ∀ i : ι, A ⟶ G.obj (B i)),
+      ∀ (X) (h : A ⟶ G.obj X), ∃ (i : ι) (g : B i ⟶ X), f i ≫ G.map g = h
 #align category_theory.solution_set_condition CategoryTheory.SolutionSetCondition
 
 section GeneralAdjointFunctorTheorem
feat: port CategoryTheory.Adjunction.AdjointFunctorTheorems (#3628)

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: qawbecrdtey <qawbecrdtey@naver.com>

Dependencies 3 + 316

317 files ported (99.1%)
124668 lines ported (99.2%)
Show graph

The unported dependencies are