category_theory.monad.typesMathlib.CategoryTheory.Monad.Types

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.

Changes in mathlib3

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -5,7 +5,7 @@ Authors: Johannes Hölzl, Bhavik Mehta
 -/
 import CategoryTheory.Monad.Basic
 import CategoryTheory.Monad.Kleisli
-import CategoryTheory.Category.Kleisli
+import CategoryTheory.Category.KleisliCat
 import CategoryTheory.Types
 
 #align_import category_theory.monad.types from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"
Diff
@@ -3,10 +3,10 @@ Copyright (c) 2019 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Bhavik Mehta
 -/
-import Mathbin.CategoryTheory.Monad.Basic
-import Mathbin.CategoryTheory.Monad.Kleisli
-import Mathbin.CategoryTheory.Category.Kleisli
-import Mathbin.CategoryTheory.Types
+import CategoryTheory.Monad.Basic
+import CategoryTheory.Monad.Kleisli
+import CategoryTheory.Category.Kleisli
+import CategoryTheory.Types
 
 #align_import category_theory.monad.types from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"
 
Diff
@@ -2,17 +2,14 @@
 Copyright (c) 2019 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.monad.types
-! leanprover-community/mathlib commit 8eb9c42d4d34c77f6ee84ea766ae4070233a973c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Monad.Basic
 import Mathbin.CategoryTheory.Monad.Kleisli
 import Mathbin.CategoryTheory.Category.Kleisli
 import Mathbin.CategoryTheory.Types
 
+#align_import category_theory.monad.types from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"
+
 /-!
 
 # Convert from `monad` (i.e. Lean's `Type`-based monads) to `category_theory.monad`
Diff
@@ -48,6 +48,7 @@ def ofTypeMonad : Monad (Type u)
 #align category_theory.of_type_monad CategoryTheory.ofTypeMonad
 -/
 
+#print CategoryTheory.eq /-
 /-- The `Kleisli` category of a `control.monad` is equivalent to the `kleisli` category of its
 category-theoretic version, provided the monad is lawful.
 -/
@@ -78,6 +79,7 @@ def eq : KleisliCat m ≌ Kleisli (of_type_monad m)
     simp [functor_norm]
   counitIso := NatIso.ofComponents (fun X => Iso.refl X) fun X Y f => by tidy
 #align category_theory.eq CategoryTheory.eq
+-/
 
 end
 
Diff
@@ -48,12 +48,6 @@ def ofTypeMonad : Monad (Type u)
 #align category_theory.of_type_monad CategoryTheory.ofTypeMonad
 -/
 
-/- warning: category_theory.eq -> CategoryTheory.eq is a dubious translation:
-lean 3 declaration is
-  forall (m : Type.{u1} -> Type.{u1}) [_inst_1 : Monad.{u1, u1} m] [_inst_2 : LawfulMonad.{u1, u1} m _inst_1], CategoryTheory.Equivalence.{u1, u1, succ u1, succ u1} (CategoryTheory.KleisliCat.{u1, u1} m) (CategoryTheory.KleisliCat.category.{u1, u1} m _inst_1 _inst_2) (CategoryTheory.Kleisli.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ofTypeMonad.{u1} m _inst_1 _inst_2)) (CategoryTheory.Kleisli.Kleisli.category.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ofTypeMonad.{u1} m _inst_1 _inst_2))
-but is expected to have type
-  forall (m : Type.{u1} -> Type.{u1}) [_inst_1 : Monad.{u1, u1} m] [_inst_2 : LawfulMonad.{u1, u1} m _inst_1], CategoryTheory.Equivalence.{u1, u1, succ u1, succ u1} (CategoryTheory.KleisliCat.{u1, u1} m) (CategoryTheory.Kleisli.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ofTypeMonad.{u1} m _inst_1 _inst_2)) (CategoryTheory.KleisliCat.category.{u1, u1} m _inst_1 _inst_2) (CategoryTheory.Kleisli.Kleisli.category.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ofTypeMonad.{u1} m _inst_1 _inst_2))
-Case conversion may be inaccurate. Consider using '#align category_theory.eq CategoryTheory.eqₓ'. -/
 /-- The `Kleisli` category of a `control.monad` is equivalent to the `kleisli` category of its
 category-theoretic version, provided the monad is lawful.
 -/
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Bhavik Mehta
 
 ! This file was ported from Lean 3 source module category_theory.monad.types
-! leanprover-community/mathlib commit 7c77279eec0b350e1e15ebda7cc4f74ee3fd58fb
+! leanprover-community/mathlib commit 8eb9c42d4d34c77f6ee84ea766ae4070233a973c
 ! 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.Types
 
 # Convert from `monad` (i.e. Lean's `Type`-based monads) to `category_theory.monad`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This allows us to use these monads in category theory.
 
 -/
Diff
@@ -30,6 +30,7 @@ universe u
 
 variable (m : Type u → Type u) [Monad m] [LawfulMonad m]
 
+#print CategoryTheory.ofTypeMonad /-
 /-- A lawful `control.monad` gives a category theory `monad` on the category of types.
 -/
 @[simps]
@@ -42,7 +43,14 @@ def ofTypeMonad : Monad (Type u)
   left_unit' α := funext fun a => joinM_pure a
   right_unit' α := funext fun a => joinM_map_pure a
 #align category_theory.of_type_monad CategoryTheory.ofTypeMonad
+-/
 
+/- warning: category_theory.eq -> CategoryTheory.eq is a dubious translation:
+lean 3 declaration is
+  forall (m : Type.{u1} -> Type.{u1}) [_inst_1 : Monad.{u1, u1} m] [_inst_2 : LawfulMonad.{u1, u1} m _inst_1], CategoryTheory.Equivalence.{u1, u1, succ u1, succ u1} (CategoryTheory.KleisliCat.{u1, u1} m) (CategoryTheory.KleisliCat.category.{u1, u1} m _inst_1 _inst_2) (CategoryTheory.Kleisli.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ofTypeMonad.{u1} m _inst_1 _inst_2)) (CategoryTheory.Kleisli.Kleisli.category.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ofTypeMonad.{u1} m _inst_1 _inst_2))
+but is expected to have type
+  forall (m : Type.{u1} -> Type.{u1}) [_inst_1 : Monad.{u1, u1} m] [_inst_2 : LawfulMonad.{u1, u1} m _inst_1], CategoryTheory.Equivalence.{u1, u1, succ u1, succ u1} (CategoryTheory.KleisliCat.{u1, u1} m) (CategoryTheory.Kleisli.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ofTypeMonad.{u1} m _inst_1 _inst_2)) (CategoryTheory.KleisliCat.category.{u1, u1} m _inst_1 _inst_2) (CategoryTheory.Kleisli.Kleisli.category.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ofTypeMonad.{u1} m _inst_1 _inst_2))
+Case conversion may be inaccurate. Consider using '#align category_theory.eq CategoryTheory.eqₓ'. -/
 /-- The `Kleisli` category of a `control.monad` is equivalent to the `kleisli` category of its
 category-theoretic version, provided the monad is lawful.
 -/

Changes in mathlib4

mathlib3
mathlib4
style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

  • converts "--porting note" into "-- Porting note";
  • converts "porting note" into "Porting note".
Diff
@@ -65,7 +65,7 @@ def eq : KleisliCat m ≌ Kleisli (ofTypeMonad m) where
       map_id := fun X => rfl
       map_comp := fun f g => by
         --unfold_projs
-        --Porting note: Need these instances for some lemmas below.
+        -- Porting note: Need these instances for some lemmas below.
         --Should they be added as actual instances elsewhere?
         letI : _root_.Monad (ofTypeMonad m).obj :=
           show _root_.Monad m from inferInstance
chore(Function): rename some lemmas (#9738)
  • Merge Function.left_id and Function.comp.left_id into Function.id_comp.
  • Merge Function.right_id and Function.comp.right_id into Function.comp_id.
  • Merge Function.comp_const_right and Function.comp_const into Function.comp_const, use explicit arguments.
  • Move Function.const_comp to Mathlib.Init.Function, use explicit arguments.
Diff
@@ -57,7 +57,7 @@ def eq : KleisliCat m ≌ Kleisli (ofTypeMonad m) where
         funext t
         -- Porting note: missing tactic `unfold_projs`, using `change` instead.
         change _ = joinM (g <$> (f t))
-        simp only [joinM, seq_bind_eq, Function.comp.left_id]
+        simp only [joinM, seq_bind_eq, Function.id_comp]
         rfl }
   inverse :=
     { obj := fun X => X
@@ -75,7 +75,7 @@ def eq : KleisliCat m ≌ Kleisli (ofTypeMonad m) where
         dsimp
         -- Porting note: missing tactic `unfold_projs`, using `change` instead.
         change joinM (g <$> (f t)) = _
-        simp only [joinM, seq_bind_eq, Function.comp.left_id]
+        simp only [joinM, seq_bind_eq, Function.id_comp]
         rfl }
   unitIso := by
     refine' NatIso.ofComponents (fun X => Iso.refl X) fun f => _
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) 2019 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.monad.types
-! leanprover-community/mathlib commit 7c77279eec0b350e1e15ebda7cc4f74ee3fd58fb
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Monad.Basic
 import Mathlib.CategoryTheory.Monad.Kleisli
@@ -14,6 +9,8 @@ import Mathlib.CategoryTheory.Category.KleisliCat
 import Mathlib.CategoryTheory.Types
 import Mathlib.Control.Basic -- Porting note: Needed for `joinM_map_map`, etc.
 
+#align_import category_theory.monad.types from "leanprover-community/mathlib"@"7c77279eec0b350e1e15ebda7cc4f74ee3fd58fb"
+
 /-!
 
 # Convert from `Monad` (i.e. Lean's `Type`-based monads) to `CategoryTheory.Monad`
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
@@ -84,7 +84,7 @@ def eq : KleisliCat m ≌ Kleisli (ofTypeMonad m) where
     refine' NatIso.ofComponents (fun X => Iso.refl X) fun f => _
     change f >=> pure = pure >=> f
     simp [functor_norm]
-  counitIso := NatIso.ofComponents (fun X => Iso.refl X) fun f => by aesop_cat
+  counitIso := NatIso.ofComponents fun X => Iso.refl X
 #align category_theory.eq CategoryTheory.eq
 
 end
feat: Port CategoryTheory.Monad.Types (#3504)

Fairly straightforward port.

Dependencies 67

68 files ported (100.0%)
22145 lines ported (100.0%)

All dependencies are ported!