category_theory.monad.kleisliMathlib.CategoryTheory.Monad.Kleisli

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
@@ -47,10 +47,10 @@ variable (T : Monad C)
 instance [Inhabited C] (T : Monad C) : Inhabited (Kleisli T) :=
   ⟨(default : C)⟩
 
-#print CategoryTheory.Kleisli.Kleisli.category /-
+#print CategoryTheory.Kleisli.category /-
 /-- The Kleisli category on a monad `T`.
     cf Definition 5.2.9 in [Riehl][riehl2017]. -/
-instance Kleisli.category : Category (Kleisli T)
+instance CategoryTheory.Kleisli.category : Category (Kleisli T)
     where
   Hom := fun X Y : C => X ⟶ (T : C ⥤ C).obj Y
   id X := T.η.app X
@@ -62,7 +62,7 @@ instance Kleisli.category : Category (Kleisli T)
     by
     simp only [functor.map_comp, category.assoc, monad.assoc]
     erw [T.μ.naturality_assoc]
-#align category_theory.kleisli.kleisli.category CategoryTheory.Kleisli.Kleisli.category
+#align category_theory.kleisli.kleisli.category CategoryTheory.Kleisli.category
 -/
 
 namespace Adjunction
@@ -136,9 +136,9 @@ variable (U : Comonad C)
 instance [Inhabited C] (U : Comonad C) : Inhabited (Cokleisli U) :=
   ⟨(default : C)⟩
 
-#print CategoryTheory.Cokleisli.Cokleisli.category /-
+#print CategoryTheory.Cokleisli.category /-
 /-- The co-Kleisli category on a comonad `U`.-/
-instance Cokleisli.category : Category (Cokleisli U)
+instance CategoryTheory.Cokleisli.category : Category (Cokleisli U)
     where
   Hom := fun X Y : C => (U : C ⥤ C).obj X ⟶ Y
   id X := U.ε.app X
@@ -148,7 +148,7 @@ instance Cokleisli.category : Category (Cokleisli U)
     unfold_projs
     simp only [functor.map_comp, ← category.assoc, U.δ.naturality_assoc, functor.comp_map,
       U.coassoc]
-#align category_theory.cokleisli.cokleisli.category CategoryTheory.Cokleisli.Cokleisli.category
+#align category_theory.cokleisli.cokleisli.category CategoryTheory.Cokleisli.category
 -/
 
 namespace Adjunction
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Wojciech Nawrocki, Bhavik Mehta
 -/
-import Mathbin.CategoryTheory.Adjunction.Basic
-import Mathbin.CategoryTheory.Monad.Basic
+import CategoryTheory.Adjunction.Basic
+import CategoryTheory.Monad.Basic
 
 #align_import category_theory.monad.kleisli from "leanprover-community/mathlib"@"94eaaaa6064d32e98cf838789144cf5318c37cf0"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Wojciech Nawrocki, Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.monad.kleisli
-! leanprover-community/mathlib commit 94eaaaa6064d32e98cf838789144cf5318c37cf0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Adjunction.Basic
 import Mathbin.CategoryTheory.Monad.Basic
 
+#align_import category_theory.monad.kleisli from "leanprover-community/mathlib"@"94eaaaa6064d32e98cf838789144cf5318c37cf0"
+
 /-! # Kleisli category on a (co)monad
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
Diff
@@ -76,9 +76,7 @@ namespace Adjunction
 def toKleisli : C ⥤ Kleisli T where
   obj X := (X : Kleisli T)
   map X Y f := (f ≫ T.η.app Y : _)
-  map_comp' X Y Z f g := by
-    unfold_projs
-    simp [← T.η.naturality g]
+  map_comp' X Y Z f g := by unfold_projs; simp [← T.η.naturality g]
 #align category_theory.kleisli.adjunction.to_kleisli CategoryTheory.Kleisli.Adjunction.toKleisli
 -/
 
@@ -116,10 +114,7 @@ def adj : toKleisli T ⊣ fromKleisli T :=
 #print CategoryTheory.Kleisli.Adjunction.toKleisliCompFromKleisliIsoSelf /-
 /-- The composition of the adjunction gives the original functor. -/
 def toKleisliCompFromKleisliIsoSelf : toKleisli T ⋙ fromKleisli T ≅ T :=
-  NatIso.ofComponents (fun X => Iso.refl _) fun X Y f =>
-    by
-    dsimp
-    simp
+  NatIso.ofComponents (fun X => Iso.refl _) fun X Y f => by dsimp; simp
 #align category_theory.kleisli.adjunction.to_kleisli_comp_from_kleisli_iso_self CategoryTheory.Kleisli.Adjunction.toKleisliCompFromKleisliIsoSelf
 -/
 
@@ -168,9 +163,7 @@ def toCokleisli : C ⥤ Cokleisli U
     where
   obj X := (X : Cokleisli U)
   map X Y f := (U.ε.app X ≫ f : _)
-  map_comp' X Y Z f g := by
-    unfold_projs
-    simp [← U.ε.naturality g]
+  map_comp' X Y Z f g := by unfold_projs; simp [← U.ε.naturality g]
 #align category_theory.cokleisli.adjunction.to_cokleisli CategoryTheory.Cokleisli.Adjunction.toCokleisli
 -/
 
@@ -205,10 +198,7 @@ def adj : fromCokleisli U ⊣ toCokleisli U :=
 #print CategoryTheory.Cokleisli.Adjunction.toCokleisliCompFromCokleisliIsoSelf /-
 /-- The composition of the adjunction gives the original functor. -/
 def toCokleisliCompFromCokleisliIsoSelf : toCokleisli U ⋙ fromCokleisli U ≅ U :=
-  NatIso.ofComponents (fun X => Iso.refl _) fun X Y f =>
-    by
-    dsimp
-    simp
+  NatIso.ofComponents (fun X => Iso.refl _) fun X Y f => by dsimp; simp
 #align category_theory.cokleisli.adjunction.to_cokleisli_comp_from_cokleisli_iso_self CategoryTheory.Cokleisli.Adjunction.toCokleisliCompFromCokleisliIsoSelf
 -/
 
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Wojciech Nawrocki, Bhavik Mehta
 
 ! This file was ported from Lean 3 source module category_theory.monad.kleisli
-! leanprover-community/mathlib commit 545f0fb9837ce297da8eae0fec799d70191e97d4
+! leanprover-community/mathlib commit 94eaaaa6064d32e98cf838789144cf5318c37cf0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.CategoryTheory.Monad.Basic
 
 /-! # Kleisli category on a (co)monad
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines the Kleisli category on a monad `(T, η_ T, μ_ T)` as well as the co-Kleisli
 category on a comonad `(U, ε_ U, δ_ U)`. It also defines the Kleisli adjunction which gives rise to
 the monad `(T, η_ T, μ_ T)` as well as the co-Kleisli adjunction which gives rise to the comonad
Diff
@@ -30,6 +30,7 @@ universe v u
 -- morphism levels before object levels. See note [category_theory universes].
 variable {C : Type u} [Category.{v} C]
 
+#print CategoryTheory.Kleisli /-
 /-- The objects for the Kleisli category of the monad `T : monad C`, which are the same
 thing as objects of the base category `C`.
 -/
@@ -37,6 +38,7 @@ thing as objects of the base category `C`.
 def Kleisli (T : Monad C) :=
   C
 #align category_theory.kleisli CategoryTheory.Kleisli
+-/
 
 namespace Kleisli
 
@@ -45,6 +47,7 @@ variable (T : Monad C)
 instance [Inhabited C] (T : Monad C) : Inhabited (Kleisli T) :=
   ⟨(default : C)⟩
 
+#print CategoryTheory.Kleisli.Kleisli.category /-
 /-- The Kleisli category on a monad `T`.
     cf Definition 5.2.9 in [Riehl][riehl2017]. -/
 instance Kleisli.category : Category (Kleisli T)
@@ -60,9 +63,11 @@ instance Kleisli.category : Category (Kleisli T)
     simp only [functor.map_comp, category.assoc, monad.assoc]
     erw [T.μ.naturality_assoc]
 #align category_theory.kleisli.kleisli.category CategoryTheory.Kleisli.Kleisli.category
+-/
 
 namespace Adjunction
 
+#print CategoryTheory.Kleisli.Adjunction.toKleisli /-
 /-- The left adjoint of the adjunction which induces the monad `(T, η_ T, μ_ T)`. -/
 @[simps]
 def toKleisli : C ⥤ Kleisli T where
@@ -72,7 +77,9 @@ def toKleisli : C ⥤ Kleisli T where
     unfold_projs
     simp [← T.η.naturality g]
 #align category_theory.kleisli.adjunction.to_kleisli CategoryTheory.Kleisli.Adjunction.toKleisli
+-/
 
+#print CategoryTheory.Kleisli.Adjunction.fromKleisli /-
 /-- The right adjoint of the adjunction which induces the monad `(T, η_ T, μ_ T)`. -/
 @[simps]
 def fromKleisli : Kleisli T ⥤ C where
@@ -85,7 +92,9 @@ def fromKleisli : Kleisli T ⥤ C where
     erw [← T.μ.naturality_assoc g, T.assoc]
     rfl
 #align category_theory.kleisli.adjunction.from_kleisli CategoryTheory.Kleisli.Adjunction.fromKleisli
+-/
 
+#print CategoryTheory.Kleisli.Adjunction.adj /-
 /-- The Kleisli adjunction which gives rise to the monad `(T, η_ T, μ_ T)`.
     cf Lemma 5.2.11 of [Riehl][riehl2017]. -/
 def adj : toKleisli T ⊣ fromKleisli T :=
@@ -99,7 +108,9 @@ def adj : toKleisli T ⊣ fromKleisli T :=
         dsimp
         simp [monad.left_unit] }
 #align category_theory.kleisli.adjunction.adj CategoryTheory.Kleisli.Adjunction.adj
+-/
 
+#print CategoryTheory.Kleisli.Adjunction.toKleisliCompFromKleisliIsoSelf /-
 /-- The composition of the adjunction gives the original functor. -/
 def toKleisliCompFromKleisliIsoSelf : toKleisli T ⋙ fromKleisli T ≅ T :=
   NatIso.ofComponents (fun X => Iso.refl _) fun X Y f =>
@@ -107,11 +118,13 @@ def toKleisliCompFromKleisliIsoSelf : toKleisli T ⋙ fromKleisli T ≅ T :=
     dsimp
     simp
 #align category_theory.kleisli.adjunction.to_kleisli_comp_from_kleisli_iso_self CategoryTheory.Kleisli.Adjunction.toKleisliCompFromKleisliIsoSelf
+-/
 
 end Adjunction
 
 end Kleisli
 
+#print CategoryTheory.Cokleisli /-
 /-- The objects for the co-Kleisli category of the comonad `U : monad C`, which are the same
 thing as objects of the base category `C`.
 -/
@@ -119,6 +132,7 @@ thing as objects of the base category `C`.
 def Cokleisli (U : Comonad C) :=
   C
 #align category_theory.cokleisli CategoryTheory.Cokleisli
+-/
 
 namespace Cokleisli
 
@@ -127,6 +141,7 @@ variable (U : Comonad C)
 instance [Inhabited C] (U : Comonad C) : Inhabited (Cokleisli U) :=
   ⟨(default : C)⟩
 
+#print CategoryTheory.Cokleisli.Cokleisli.category /-
 /-- The co-Kleisli category on a comonad `U`.-/
 instance Cokleisli.category : Category (Cokleisli U)
     where
@@ -139,9 +154,11 @@ instance Cokleisli.category : Category (Cokleisli U)
     simp only [functor.map_comp, ← category.assoc, U.δ.naturality_assoc, functor.comp_map,
       U.coassoc]
 #align category_theory.cokleisli.cokleisli.category CategoryTheory.Cokleisli.Cokleisli.category
+-/
 
 namespace Adjunction
 
+#print CategoryTheory.Cokleisli.Adjunction.toCokleisli /-
 /-- The right adjoint of the adjunction which induces the comonad `(U, ε_ U, δ_ U)`. -/
 @[simps]
 def toCokleisli : C ⥤ Cokleisli U
@@ -152,7 +169,9 @@ def toCokleisli : C ⥤ Cokleisli U
     unfold_projs
     simp [← U.ε.naturality g]
 #align category_theory.cokleisli.adjunction.to_cokleisli CategoryTheory.Cokleisli.Adjunction.toCokleisli
+-/
 
+#print CategoryTheory.Cokleisli.Adjunction.fromCokleisli /-
 /-- The left adjoint of the adjunction which induces the comonad `(U, ε_ U, δ_ U)`. -/
 @[simps]
 def fromCokleisli : Cokleisli U ⥤ C where
@@ -166,7 +185,9 @@ def fromCokleisli : Cokleisli U ⥤ C where
     rw [comonad.coassoc]
     simp only [category.assoc, nat_trans.naturality, functor.comp_map]
 #align category_theory.cokleisli.adjunction.from_cokleisli CategoryTheory.Cokleisli.Adjunction.fromCokleisli
+-/
 
+#print CategoryTheory.Cokleisli.Adjunction.adj /-
 /-- The co-Kleisli adjunction which gives rise to the monad `(U, ε_ U, δ_ U)`. -/
 def adj : fromCokleisli U ⊣ toCokleisli U :=
   Adjunction.mkOfHomEquiv
@@ -176,7 +197,9 @@ def adj : fromCokleisli U ⊣ toCokleisli U :=
         unfold_projs; dsimp; erw [← category.assoc (U.map f), U.ε.naturality]; dsimp
         simp only [← category.assoc, comonad.left_counit, category.id_comp] }
 #align category_theory.cokleisli.adjunction.adj CategoryTheory.Cokleisli.Adjunction.adj
+-/
 
+#print CategoryTheory.Cokleisli.Adjunction.toCokleisliCompFromCokleisliIsoSelf /-
 /-- The composition of the adjunction gives the original functor. -/
 def toCokleisliCompFromCokleisliIsoSelf : toCokleisli U ⋙ fromCokleisli U ≅ U :=
   NatIso.ofComponents (fun X => Iso.refl _) fun X Y f =>
@@ -184,6 +207,7 @@ def toCokleisliCompFromCokleisliIsoSelf : toCokleisli U ⋙ fromCokleisli U ≅
     dsimp
     simp
 #align category_theory.cokleisli.adjunction.to_cokleisli_comp_from_cokleisli_iso_self CategoryTheory.Cokleisli.Adjunction.toCokleisliCompFromCokleisliIsoSelf
+-/
 
 end Adjunction
 

Changes in mathlib4

mathlib3
mathlib4
style: replace '.-/' by '. -/' (#11938)

Purely automatic replacement. If this is in any way controversial; I'm happy to just close this PR.

Diff
@@ -121,7 +121,7 @@ variable (U : Comonad C)
 instance [Inhabited C] (U : Comonad C) : Inhabited (Cokleisli U) :=
   ⟨(default : C)⟩
 
-/-- The co-Kleisli category on a comonad `U`.-/
+/-- The co-Kleisli category on a comonad `U`. -/
 instance category : Category (Cokleisli U) where
   Hom := fun X Y : C => (U : C ⥤ C).obj X ⟶ Y
   id X := U.ε.app X
chore: remove duplicated namespaces from instances (#10899)
Diff
@@ -44,7 +44,7 @@ instance [Inhabited C] (T : Monad C) : Inhabited (Kleisli T) :=
 
 /-- The Kleisli category on a monad `T`.
     cf Definition 5.2.9 in [Riehl][riehl2017]. -/
-instance Kleisli.category : Category (Kleisli T) where
+instance category : Category (Kleisli T) where
   Hom := fun X Y : C => X ⟶ (T : C ⥤ C).obj Y
   id X := T.η.app X
   comp {X} {Y} {Z} f g := f ≫ (T : C ⥤ C).map g ≫ T.μ.app Z
@@ -55,7 +55,7 @@ instance Kleisli.category : Category (Kleisli T) where
   assoc f g h := by
     simp only [Functor.map_comp, Category.assoc, Monad.assoc]
     erw [T.μ.naturality_assoc]
-#align category_theory.kleisli.kleisli.category CategoryTheory.Kleisli.Kleisli.category
+#align category_theory.kleisli.kleisli.category CategoryTheory.Kleisli.category
 
 namespace Adjunction
 
@@ -122,7 +122,7 @@ instance [Inhabited C] (U : Comonad C) : Inhabited (Cokleisli U) :=
   ⟨(default : C)⟩
 
 /-- The co-Kleisli category on a comonad `U`.-/
-instance Cokleisli.category : Category (Cokleisli U) where
+instance category : Category (Cokleisli U) where
   Hom := fun X Y : C => (U : C ⥤ C).obj X ⟶ Y
   id X := U.ε.app X
   comp {X} {Y} {Z} f g := U.δ.app X ≫ (U : C ⥤ C).map f ≫ g
@@ -134,7 +134,7 @@ instance Cokleisli.category : Category (Cokleisli U) where
     -- Porting note: something was broken here and was easier just to redo from scratch
     simp only [Functor.map_comp, ← Category.assoc, eq_whisker]
     simp only [Category.assoc, U.δ.naturality, Functor.comp_map, U.coassoc_assoc]
-#align category_theory.cokleisli.cokleisli.category CategoryTheory.Cokleisli.Cokleisli.category
+#align category_theory.cokleisli.cokleisli.category CategoryTheory.Cokleisli.category
 
 namespace Adjunction
 
chore: fix grammar mistakes (#6121)
Diff
@@ -128,7 +128,7 @@ instance Cokleisli.category : Category (Cokleisli U) where
   comp {X} {Y} {Z} f g := U.δ.app X ≫ (U : C ⥤ C).map f ≫ g
   id_comp f := by dsimp; rw [U.right_counit_assoc]
   assoc {X} {Y} {Z} {W} f g h := by
-    -- Porting note: working around lack of of unfold_projs
+    -- Porting note: working around lack of unfold_projs
     change U.δ.app X ≫ U.map (U.δ.app X ≫ U.map f ≫ g) ≫ h =
       U.δ.app X ≫ U.map f ≫ (U.δ.app Y ≫ U.map g ≫ h)
     -- Porting note: something was broken here and was easier just to redo from scratch
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) 2020 Wojciech Nawrocki. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Wojciech Nawrocki, Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.monad.kleisli
-! leanprover-community/mathlib commit 545f0fb9837ce297da8eae0fec799d70191e97d4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Adjunction.Basic
 import Mathlib.CategoryTheory.Monad.Basic
 
+#align_import category_theory.monad.kleisli from "leanprover-community/mathlib"@"545f0fb9837ce297da8eae0fec799d70191e97d4"
+
 /-! # Kleisli category on a (co)monad
 
 This file defines the Kleisli category on a monad `(T, η_ T, μ_ T)` as well as the co-Kleisli
chore: cleanup whitespace (#5988)

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -66,7 +66,7 @@ namespace Adjunction
 @[simps]
 def toKleisli : C ⥤ Kleisli T where
   obj X := (X : Kleisli T)
-  map {X} {Y} f := (f ≫ T.η.app Y : X ⟶  T.obj Y)
+  map {X} {Y} f := (f ≫ T.η.app Y : X ⟶ T.obj Y)
   map_comp {X} {Y} {Z} f g := by
     -- Porting note: hack for missing unfold_projs tactic
     change _ = (f ≫ (Monad.η T).app Y) ≫ T.map (g ≫ (Monad.η T).app Z) ≫ T.μ.app Z
chore: review of automation in category theory (#4793)

Clean up of automation in the category theory library. Leaving out unnecessary proof steps, or fields done by aesop_cat, and making more use of available autoparameters.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

Diff
@@ -102,9 +102,7 @@ def adj : toKleisli T ⊣ fromKleisli T :=
 
 /-- The composition of the adjunction gives the original functor. -/
 def toKleisliCompFromKleisliIsoSelf : toKleisli T ⋙ fromKleisli T ≅ T :=
-  NatIso.ofComponents (fun X => Iso.refl _) fun f => by
-    dsimp
-    simp
+  NatIso.ofComponents fun X => Iso.refl _
 #align category_theory.kleisli.adjunction.to_kleisli_comp_from_kleisli_iso_self CategoryTheory.Kleisli.Adjunction.toKleisliCompFromKleisliIsoSelf
 
 end Adjunction
@@ -182,9 +180,7 @@ def adj : fromCokleisli U ⊣ toCokleisli U :=
 
 /-- The composition of the adjunction gives the original functor. -/
 def toCokleisliCompFromCokleisliIsoSelf : toCokleisli U ⋙ fromCokleisli U ≅ U :=
-  NatIso.ofComponents (fun X => Iso.refl _) fun f => by
-    dsimp
-    simp
+  NatIso.ofComponents fun X => Iso.refl _
 #align category_theory.cokleisli.adjunction.to_cokleisli_comp_from_cokleisli_iso_self CategoryTheory.Cokleisli.Adjunction.toCokleisliCompFromCokleisliIsoSelf
 
 end Adjunction
@@ -192,4 +188,3 @@ end Adjunction
 end Cokleisli
 
 end CategoryTheory
-
feat: port CategoryTheory.Monad.Kleisli (#3209)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

Dependencies 60

61 files ported (100.0%)
19579 lines ported (100.0%)

All dependencies are ported!