order.category.LinOrdMathlib.Order.Category.LinOrd

This file has been ported!

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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
@@ -3,7 +3,7 @@ Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 -/
-import Mathbin.Order.Category.Lat
+import Order.Category.Lat
 
 #align_import order.category.LinOrd from "leanprover-community/mathlib"@"75be6b616681ab6ca66d798ead117e75cd64f125"
 
@@ -21,88 +21,88 @@ open CategoryTheory
 
 universe u
 
-#print LinOrdCat /-
+#print LinOrd /-
 /-- The category of linear orders. -/
-def LinOrdCat :=
+def LinOrd :=
   Bundled LinearOrder
-#align LinOrd LinOrdCat
+#align LinOrd LinOrd
 -/
 
-namespace LinOrdCat
+namespace LinOrd
 
 instance : BundledHom.ParentProjection @LinearOrder.toPartialOrder :=
   ⟨⟩
 
-deriving instance LargeCategory, ConcreteCategory for LinOrdCat
+deriving instance LargeCategory, ConcreteCategory for LinOrd
 
-instance : CoeSort LinOrdCat (Type _) :=
+instance : CoeSort LinOrd (Type _) :=
   Bundled.hasCoeToSort
 
-#print LinOrdCat.of /-
+#print LinOrd.of /-
 /-- Construct a bundled `LinOrd` from the underlying type and typeclass. -/
-def of (α : Type _) [LinearOrder α] : LinOrdCat :=
+def of (α : Type _) [LinearOrder α] : LinOrd :=
   Bundled.of α
-#align LinOrd.of LinOrdCat.of
+#align LinOrd.of LinOrd.of
 -/
 
-#print LinOrdCat.coe_of /-
+#print LinOrd.coe_of /-
 @[simp]
 theorem coe_of (α : Type _) [LinearOrder α] : ↥(of α) = α :=
   rfl
-#align LinOrd.coe_of LinOrdCat.coe_of
+#align LinOrd.coe_of LinOrd.coe_of
 -/
 
-instance : Inhabited LinOrdCat :=
+instance : Inhabited LinOrd :=
   ⟨of PUnit⟩
 
-instance (α : LinOrdCat) : LinearOrder α :=
+instance (α : LinOrd) : LinearOrder α :=
   α.str
 
-#print LinOrdCat.hasForgetToLatCat /-
-instance hasForgetToLatCat : HasForget₂ LinOrdCat LatCat
+#print LinOrd.hasForgetToLat /-
+instance hasForgetToLat : HasForget₂ LinOrd Lat
     where forget₂ :=
-    { obj := fun X => LatCat.of X
+    { obj := fun X => Lat.of X
       map := fun X Y f => (OrderHomClass.toLatticeHom X Y f : LatticeHom X Y) }
-#align LinOrd.has_forget_to_Lat LinOrdCat.hasForgetToLatCat
+#align LinOrd.has_forget_to_Lat LinOrd.hasForgetToLat
 -/
 
-#print LinOrdCat.Iso.mk /-
+#print LinOrd.Iso.mk /-
 /-- Constructs an equivalence between linear orders from an order isomorphism between them. -/
 @[simps]
-def Iso.mk {α β : LinOrdCat.{u}} (e : α ≃o β) : α ≅ β
+def Iso.mk {α β : LinOrd.{u}} (e : α ≃o β) : α ≅ β
     where
   Hom := e
   inv := e.symm
   hom_inv_id' := by ext; exact e.symm_apply_apply x
   inv_hom_id' := by ext; exact e.apply_symm_apply x
-#align LinOrd.iso.mk LinOrdCat.Iso.mk
+#align LinOrd.iso.mk LinOrd.Iso.mk
 -/
 
-#print LinOrdCat.dual /-
+#print LinOrd.dual /-
 /-- `order_dual` as a functor. -/
 @[simps]
-def dual : LinOrdCat ⥤ LinOrdCat where
+def dual : LinOrd ⥤ LinOrd where
   obj X := of Xᵒᵈ
   map X Y := OrderHom.dual
-#align LinOrd.dual LinOrdCat.dual
+#align LinOrd.dual LinOrd.dual
 -/
 
-#print LinOrdCat.dualEquiv /-
+#print LinOrd.dualEquiv /-
 /-- The equivalence between `LinOrd` and itself induced by `order_dual` both ways. -/
 @[simps Functor inverse]
-def dualEquiv : LinOrdCat ≌ LinOrdCat :=
+def dualEquiv : LinOrd ≌ LinOrd :=
   Equivalence.mk dual dual
     (NatIso.ofComponents (fun X => Iso.mk <| OrderIso.dualDual X) fun X Y f => rfl)
     (NatIso.ofComponents (fun X => Iso.mk <| OrderIso.dualDual X) fun X Y f => rfl)
-#align LinOrd.dual_equiv LinOrdCat.dualEquiv
+#align LinOrd.dual_equiv LinOrd.dualEquiv
 -/
 
-end LinOrdCat
+end LinOrd
 
-#print linOrdCat_dual_comp_forget_to_latCat /-
-theorem linOrdCat_dual_comp_forget_to_latCat :
-    LinOrdCat.dual ⋙ forget₂ LinOrdCat LatCat = forget₂ LinOrdCat LatCat ⋙ LatCat.dual :=
+#print linOrd_dual_comp_forget_to_Lat /-
+theorem linOrd_dual_comp_forget_to_Lat :
+    LinOrd.dual ⋙ forget₂ LinOrd Lat = forget₂ LinOrd Lat ⋙ Lat.dual :=
   rfl
-#align LinOrd_dual_comp_forget_to_Lat linOrdCat_dual_comp_forget_to_latCat
+#align LinOrd_dual_comp_forget_to_Lat linOrd_dual_comp_forget_to_Lat
 -/
 
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module order.category.LinOrd
-! leanprover-community/mathlib commit 75be6b616681ab6ca66d798ead117e75cd64f125
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Order.Category.Lat
 
+#align_import order.category.LinOrd from "leanprover-community/mathlib"@"75be6b616681ab6ca66d798ead117e75cd64f125"
+
 /-!
 # Category of linear orders
 
Diff
@@ -61,11 +61,13 @@ instance : Inhabited LinOrdCat :=
 instance (α : LinOrdCat) : LinearOrder α :=
   α.str
 
+#print LinOrdCat.hasForgetToLatCat /-
 instance hasForgetToLatCat : HasForget₂ LinOrdCat LatCat
     where forget₂ :=
     { obj := fun X => LatCat.of X
       map := fun X Y f => (OrderHomClass.toLatticeHom X Y f : LatticeHom X Y) }
 #align LinOrd.has_forget_to_Lat LinOrdCat.hasForgetToLatCat
+-/
 
 #print LinOrdCat.Iso.mk /-
 /-- Constructs an equivalence between linear orders from an order isomorphism between them. -/
@@ -88,6 +90,7 @@ def dual : LinOrdCat ⥤ LinOrdCat where
 #align LinOrd.dual LinOrdCat.dual
 -/
 
+#print LinOrdCat.dualEquiv /-
 /-- The equivalence between `LinOrd` and itself induced by `order_dual` both ways. -/
 @[simps Functor inverse]
 def dualEquiv : LinOrdCat ≌ LinOrdCat :=
@@ -95,11 +98,14 @@ def dualEquiv : LinOrdCat ≌ LinOrdCat :=
     (NatIso.ofComponents (fun X => Iso.mk <| OrderIso.dualDual X) fun X Y f => rfl)
     (NatIso.ofComponents (fun X => Iso.mk <| OrderIso.dualDual X) fun X Y f => rfl)
 #align LinOrd.dual_equiv LinOrdCat.dualEquiv
+-/
 
 end LinOrdCat
 
+#print linOrdCat_dual_comp_forget_to_latCat /-
 theorem linOrdCat_dual_comp_forget_to_latCat :
     LinOrdCat.dual ⋙ forget₂ LinOrdCat LatCat = forget₂ LinOrdCat LatCat ⋙ LatCat.dual :=
   rfl
 #align LinOrd_dual_comp_forget_to_Lat linOrdCat_dual_comp_forget_to_latCat
+-/
 
Diff
@@ -67,6 +67,7 @@ instance hasForgetToLatCat : HasForget₂ LinOrdCat LatCat
       map := fun X Y f => (OrderHomClass.toLatticeHom X Y f : LatticeHom X Y) }
 #align LinOrd.has_forget_to_Lat LinOrdCat.hasForgetToLatCat
 
+#print LinOrdCat.Iso.mk /-
 /-- Constructs an equivalence between linear orders from an order isomorphism between them. -/
 @[simps]
 def Iso.mk {α β : LinOrdCat.{u}} (e : α ≃o β) : α ≅ β
@@ -76,6 +77,7 @@ def Iso.mk {α β : LinOrdCat.{u}} (e : α ≃o β) : α ≅ β
   hom_inv_id' := by ext; exact e.symm_apply_apply x
   inv_hom_id' := by ext; exact e.apply_symm_apply x
 #align LinOrd.iso.mk LinOrdCat.Iso.mk
+-/
 
 #print LinOrdCat.dual /-
 /-- `order_dual` as a functor. -/
Diff
@@ -61,24 +61,12 @@ instance : Inhabited LinOrdCat :=
 instance (α : LinOrdCat) : LinearOrder α :=
   α.str
 
-/- warning: LinOrd.has_forget_to_Lat -> LinOrdCat.hasForgetToLatCat is a dubious translation:
-lean 3 declaration is
-  CategoryTheory.HasForget₂.{succ u1, succ u1, u1, u1, u1} LinOrdCat.{u1} LatCat.{u1} LinOrdCat.largeCategory.{u1} LinOrdCat.concreteCategory.{u1} LatCat.CategoryTheory.largeCategory.{u1} LatCat.CategoryTheory.concreteCategory.{u1}
-but is expected to have type
-  CategoryTheory.HasForget₂.{succ u1, succ u1, u1, u1, u1} LinOrdCat.{u1} LatCat.{u1} instLinOrdCatLargeCategory.{u1} LinOrdCat.instConcreteCategoryLinOrdCatInstLinOrdCatLargeCategory.{u1} LatCat.instLargeCategoryLatCat.{u1} LatCat.instConcreteCategoryLatCatInstLargeCategoryLatCat.{u1}
-Case conversion may be inaccurate. Consider using '#align LinOrd.has_forget_to_Lat LinOrdCat.hasForgetToLatCatₓ'. -/
 instance hasForgetToLatCat : HasForget₂ LinOrdCat LatCat
     where forget₂ :=
     { obj := fun X => LatCat.of X
       map := fun X Y f => (OrderHomClass.toLatticeHom X Y f : LatticeHom X Y) }
 #align LinOrd.has_forget_to_Lat LinOrdCat.hasForgetToLatCat
 
-/- warning: LinOrd.iso.mk -> LinOrdCat.Iso.mk is a dubious translation:
-lean 3 declaration is
-  forall {α : LinOrdCat.{u1}} {β : LinOrdCat.{u1}}, (OrderIso.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (Preorder.toHasLe.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (PartialOrder.toPreorder.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (SemilatticeInf.toPartialOrder.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (Lattice.toSemilatticeInf.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (LinearOrder.toLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (LinOrdCat.linearOrder.{u1} α)))))) (Preorder.toHasLe.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (PartialOrder.toPreorder.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (SemilatticeInf.toPartialOrder.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (Lattice.toSemilatticeInf.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (LinearOrder.toLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (LinOrdCat.linearOrder.{u1} β))))))) -> (CategoryTheory.Iso.{u1, succ u1} LinOrdCat.{u1} LinOrdCat.largeCategory.{u1} α β)
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align LinOrd.iso.mk LinOrdCat.Iso.mkₓ'. -/
 /-- Constructs an equivalence between linear orders from an order isomorphism between them. -/
 @[simps]
 def Iso.mk {α β : LinOrdCat.{u}} (e : α ≃o β) : α ≅ β
@@ -98,12 +86,6 @@ def dual : LinOrdCat ⥤ LinOrdCat where
 #align LinOrd.dual LinOrdCat.dual
 -/
 
-/- warning: LinOrd.dual_equiv -> LinOrdCat.dualEquiv is a dubious translation:
-lean 3 declaration is
-  CategoryTheory.Equivalence.{u1, u1, succ u1, succ u1} LinOrdCat.{u1} LinOrdCat.largeCategory.{u1} LinOrdCat.{u1} LinOrdCat.largeCategory.{u1}
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align LinOrd.dual_equiv LinOrdCat.dualEquivₓ'. -/
 /-- The equivalence between `LinOrd` and itself induced by `order_dual` both ways. -/
 @[simps Functor inverse]
 def dualEquiv : LinOrdCat ≌ LinOrdCat :=
@@ -114,12 +96,6 @@ def dualEquiv : LinOrdCat ≌ LinOrdCat :=
 
 end LinOrdCat
 
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-Case conversion may be inaccurate. Consider using '#align LinOrd_dual_comp_forget_to_Lat linOrdCat_dual_comp_forget_to_latCatₓ'. -/
 theorem linOrdCat_dual_comp_forget_to_latCat :
     LinOrdCat.dual ⋙ forget₂ LinOrdCat LatCat = forget₂ LinOrdCat LatCat ⋙ LatCat.dual :=
   rfl
Diff
@@ -85,12 +85,8 @@ def Iso.mk {α β : LinOrdCat.{u}} (e : α ≃o β) : α ≅ β
     where
   Hom := e
   inv := e.symm
-  hom_inv_id' := by
-    ext
-    exact e.symm_apply_apply x
-  inv_hom_id' := by
-    ext
-    exact e.apply_symm_apply x
+  hom_inv_id' := by ext; exact e.symm_apply_apply x
+  inv_hom_id' := by ext; exact e.apply_symm_apply x
 #align LinOrd.iso.mk LinOrdCat.Iso.mk
 
 #print LinOrdCat.dual /-
Diff
@@ -73,7 +73,12 @@ instance hasForgetToLatCat : HasForget₂ LinOrdCat LatCat
       map := fun X Y f => (OrderHomClass.toLatticeHom X Y f : LatticeHom X Y) }
 #align LinOrd.has_forget_to_Lat LinOrdCat.hasForgetToLatCat
 
-#print LinOrdCat.Iso.mk /-
+/- warning: LinOrd.iso.mk -> LinOrdCat.Iso.mk is a dubious translation:
+lean 3 declaration is
+  forall {α : LinOrdCat.{u1}} {β : LinOrdCat.{u1}}, (OrderIso.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (Preorder.toHasLe.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (PartialOrder.toPreorder.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (SemilatticeInf.toPartialOrder.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (Lattice.toSemilatticeInf.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (LinearOrder.toLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} α) (LinOrdCat.linearOrder.{u1} α)))))) (Preorder.toHasLe.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (PartialOrder.toPreorder.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (SemilatticeInf.toPartialOrder.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (Lattice.toSemilatticeInf.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (LinearOrder.toLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} LinOrdCat.{u1} Type.{u1} LinOrdCat.hasCoeToSort.{u1} β) (LinOrdCat.linearOrder.{u1} β))))))) -> (CategoryTheory.Iso.{u1, succ u1} LinOrdCat.{u1} LinOrdCat.largeCategory.{u1} α β)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align LinOrd.iso.mk LinOrdCat.Iso.mkₓ'. -/
 /-- Constructs an equivalence between linear orders from an order isomorphism between them. -/
 @[simps]
 def Iso.mk {α β : LinOrdCat.{u}} (e : α ≃o β) : α ≅ β
@@ -87,7 +92,6 @@ def Iso.mk {α β : LinOrdCat.{u}} (e : α ≃o β) : α ≅ β
     ext
     exact e.apply_symm_apply x
 #align LinOrd.iso.mk LinOrdCat.Iso.mk
--/
 
 #print LinOrdCat.dual /-
 /-- `order_dual` as a functor. -/
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 
 ! This file was ported from Lean 3 source module order.category.LinOrd
-! leanprover-community/mathlib commit e8ac6315bcfcbaf2d19a046719c3b553206dac75
+! leanprover-community/mathlib commit 75be6b616681ab6ca66d798ead117e75cd64f125
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Order.Category.Lat
 /-!
 # Category of linear orders
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This defines `LinOrd`, the category of linear orders with monotone maps.
 -/
 
Diff
@@ -21,46 +21,59 @@ open CategoryTheory
 
 universe u
 
+#print LinOrdCat /-
 /-- The category of linear orders. -/
-def LinOrd :=
+def LinOrdCat :=
   Bundled LinearOrder
-#align LinOrd LinOrd
+#align LinOrd LinOrdCat
+-/
 
-namespace LinOrd
+namespace LinOrdCat
 
 instance : BundledHom.ParentProjection @LinearOrder.toPartialOrder :=
   ⟨⟩
 
-deriving instance LargeCategory, ConcreteCategory for LinOrd
+deriving instance LargeCategory, ConcreteCategory for LinOrdCat
 
-instance : CoeSort LinOrd (Type _) :=
+instance : CoeSort LinOrdCat (Type _) :=
   Bundled.hasCoeToSort
 
+#print LinOrdCat.of /-
 /-- Construct a bundled `LinOrd` from the underlying type and typeclass. -/
-def of (α : Type _) [LinearOrder α] : LinOrd :=
+def of (α : Type _) [LinearOrder α] : LinOrdCat :=
   Bundled.of α
-#align LinOrd.of LinOrd.of
+#align LinOrd.of LinOrdCat.of
+-/
 
+#print LinOrdCat.coe_of /-
 @[simp]
 theorem coe_of (α : Type _) [LinearOrder α] : ↥(of α) = α :=
   rfl
-#align LinOrd.coe_of LinOrd.coe_of
+#align LinOrd.coe_of LinOrdCat.coe_of
+-/
 
-instance : Inhabited LinOrd :=
+instance : Inhabited LinOrdCat :=
   ⟨of PUnit⟩
 
-instance (α : LinOrd) : LinearOrder α :=
+instance (α : LinOrdCat) : LinearOrder α :=
   α.str
 
-instance hasForgetToLat : HasForget₂ LinOrd Lat
+/- warning: LinOrd.has_forget_to_Lat -> LinOrdCat.hasForgetToLatCat is a dubious translation:
+lean 3 declaration is
+  CategoryTheory.HasForget₂.{succ u1, succ u1, u1, u1, u1} LinOrdCat.{u1} LatCat.{u1} LinOrdCat.largeCategory.{u1} LinOrdCat.concreteCategory.{u1} LatCat.CategoryTheory.largeCategory.{u1} LatCat.CategoryTheory.concreteCategory.{u1}
+but is expected to have type
+  CategoryTheory.HasForget₂.{succ u1, succ u1, u1, u1, u1} LinOrdCat.{u1} LatCat.{u1} instLinOrdCatLargeCategory.{u1} LinOrdCat.instConcreteCategoryLinOrdCatInstLinOrdCatLargeCategory.{u1} LatCat.instLargeCategoryLatCat.{u1} LatCat.instConcreteCategoryLatCatInstLargeCategoryLatCat.{u1}
+Case conversion may be inaccurate. Consider using '#align LinOrd.has_forget_to_Lat LinOrdCat.hasForgetToLatCatₓ'. -/
+instance hasForgetToLatCat : HasForget₂ LinOrdCat LatCat
     where forget₂ :=
-    { obj := fun X => Lat.of X
+    { obj := fun X => LatCat.of X
       map := fun X Y f => (OrderHomClass.toLatticeHom X Y f : LatticeHom X Y) }
-#align LinOrd.has_forget_to_Lat LinOrd.hasForgetToLat
+#align LinOrd.has_forget_to_Lat LinOrdCat.hasForgetToLatCat
 
+#print LinOrdCat.Iso.mk /-
 /-- Constructs an equivalence between linear orders from an order isomorphism between them. -/
 @[simps]
-def Iso.mk {α β : LinOrd.{u}} (e : α ≃o β) : α ≅ β
+def Iso.mk {α β : LinOrdCat.{u}} (e : α ≃o β) : α ≅ β
     where
   Hom := e
   inv := e.symm
@@ -70,27 +83,42 @@ def Iso.mk {α β : LinOrd.{u}} (e : α ≃o β) : α ≅ β
   inv_hom_id' := by
     ext
     exact e.apply_symm_apply x
-#align LinOrd.iso.mk LinOrd.Iso.mk
+#align LinOrd.iso.mk LinOrdCat.Iso.mk
+-/
 
+#print LinOrdCat.dual /-
 /-- `order_dual` as a functor. -/
 @[simps]
-def dual : LinOrd ⥤ LinOrd where
+def dual : LinOrdCat ⥤ LinOrdCat where
   obj X := of Xᵒᵈ
   map X Y := OrderHom.dual
-#align LinOrd.dual LinOrd.dual
+#align LinOrd.dual LinOrdCat.dual
+-/
 
+/- warning: LinOrd.dual_equiv -> LinOrdCat.dualEquiv is a dubious translation:
+lean 3 declaration is
+  CategoryTheory.Equivalence.{u1, u1, succ u1, succ u1} LinOrdCat.{u1} LinOrdCat.largeCategory.{u1} LinOrdCat.{u1} LinOrdCat.largeCategory.{u1}
+but is expected to have type
+  CategoryTheory.Equivalence.{u1, u1, succ u1, succ u1} LinOrdCat.{u1} LinOrdCat.{u1} instLinOrdCatLargeCategory.{u1} instLinOrdCatLargeCategory.{u1}
+Case conversion may be inaccurate. Consider using '#align LinOrd.dual_equiv LinOrdCat.dualEquivₓ'. -/
 /-- The equivalence between `LinOrd` and itself induced by `order_dual` both ways. -/
 @[simps Functor inverse]
-def dualEquiv : LinOrd ≌ LinOrd :=
+def dualEquiv : LinOrdCat ≌ LinOrdCat :=
   Equivalence.mk dual dual
     (NatIso.ofComponents (fun X => Iso.mk <| OrderIso.dualDual X) fun X Y f => rfl)
     (NatIso.ofComponents (fun X => Iso.mk <| OrderIso.dualDual X) fun X Y f => rfl)
-#align LinOrd.dual_equiv LinOrd.dualEquiv
-
-end LinOrd
-
-theorem linOrd_dual_comp_forget_to_lat :
-    LinOrd.dual ⋙ forget₂ LinOrd Lat = forget₂ LinOrd Lat ⋙ Lat.dual :=
+#align LinOrd.dual_equiv LinOrdCat.dualEquiv
+
+end LinOrdCat
+
+/- warning: LinOrd_dual_comp_forget_to_Lat -> linOrdCat_dual_comp_forget_to_latCat is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align LinOrd_dual_comp_forget_to_Lat linOrdCat_dual_comp_forget_to_latCatₓ'. -/
+theorem linOrdCat_dual_comp_forget_to_latCat :
+    LinOrdCat.dual ⋙ forget₂ LinOrdCat LatCat = forget₂ LinOrdCat LatCat ⋙ LatCat.dual :=
   rfl
-#align LinOrd_dual_comp_forget_to_Lat linOrd_dual_comp_forget_to_lat
+#align LinOrd_dual_comp_forget_to_Lat linOrdCat_dual_comp_forget_to_latCat
 

Changes in mathlib4

mathlib3
mathlib4
chore: Remove Cat suffixes (#3730)

These names needn't change in the first place.

Diff
@@ -3,14 +3,14 @@ Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 -/
-import Mathlib.Order.Category.LatCat
+import Mathlib.Order.Category.Lat
 
 #align_import order.category.LinOrd from "leanprover-community/mathlib"@"e8ac6315bcfcbaf2d19a046719c3b553206dac75"
 
 /-!
 # Category of linear orders
 
-This defines `LinOrdCat`, the category of linear orders with monotone maps.
+This defines `LinOrd`, the category of linear orders with monotone maps.
 -/
 
 
@@ -19,53 +19,53 @@ open CategoryTheory
 universe u
 
 /-- The category of linear orders. -/
-def LinOrdCat :=
+def LinOrd :=
   Bundled LinearOrder
 set_option linter.uppercaseLean3 false in
-#align LinOrd LinOrdCat
+#align LinOrd LinOrd
 
-namespace LinOrdCat
+namespace LinOrd
 
 instance : BundledHom.ParentProjection @LinearOrder.toPartialOrder :=
   ⟨⟩
 
-deriving instance LargeCategory for LinOrdCat
+deriving instance LargeCategory for LinOrd
 
 -- Porting note: Probably see https://github.com/leanprover-community/mathlib4/issues/5020
-instance : ConcreteCategory LinOrdCat :=
+instance : ConcreteCategory LinOrd :=
   BundledHom.concreteCategory _
 
-instance : CoeSort LinOrdCat (Type*) :=
+instance : CoeSort LinOrd Type* :=
   Bundled.coeSort
 
-/-- Construct a bundled `LinOrdCat` from the underlying type and typeclass. -/
-def of (α : Type*) [LinearOrder α] : LinOrdCat :=
+/-- Construct a bundled `LinOrd` from the underlying type and typeclass. -/
+def of (α : Type*) [LinearOrder α] : LinOrd :=
   Bundled.of α
 set_option linter.uppercaseLean3 false in
-#align LinOrd.of LinOrdCat.of
+#align LinOrd.of LinOrd.of
 
 @[simp]
 theorem coe_of (α : Type*) [LinearOrder α] : ↥(of α) = α :=
   rfl
 set_option linter.uppercaseLean3 false in
-#align LinOrd.coe_of LinOrdCat.coe_of
+#align LinOrd.coe_of LinOrd.coe_of
 
-instance : Inhabited LinOrdCat :=
+instance : Inhabited LinOrd :=
   ⟨of PUnit⟩
 
-instance (α : LinOrdCat) : LinearOrder α :=
+instance (α : LinOrd) : LinearOrder α :=
   α.str
 
-instance hasForgetToLatCat : HasForget₂ LinOrdCat LatCat where
+instance hasForgetToLat : HasForget₂ LinOrd Lat where
   forget₂ :=
-    { obj := fun X => LatCat.of X
+    { obj := fun X => Lat.of X
       map := fun {X Y} (f : OrderHom _ _) => OrderHomClass.toLatticeHom X Y f }
 set_option linter.uppercaseLean3 false in
-#align LinOrd.has_forget_to_Lat LinOrdCat.hasForgetToLatCat
+#align LinOrd.has_forget_to_Lat LinOrd.hasForgetToLat
 
 /-- Constructs an equivalence between linear orders from an order isomorphism between them. -/
 @[simps]
-def Iso.mk {α β : LinOrdCat.{u}} (e : α ≃o β) : α ≅ β where
+def Iso.mk {α β : LinOrd.{u}} (e : α ≃o β) : α ≅ β where
   hom := (e : OrderHom _ _)
   inv := (e.symm : OrderHom _ _)
   hom_inv_id := by
@@ -75,30 +75,30 @@ def Iso.mk {α β : LinOrdCat.{u}} (e : α ≃o β) : α ≅ β where
     ext x
     exact e.apply_symm_apply x
 set_option linter.uppercaseLean3 false in
-#align LinOrd.iso.mk LinOrdCat.Iso.mk
+#align LinOrd.iso.mk LinOrd.Iso.mk
 
 /-- `OrderDual` as a functor. -/
 @[simps]
-def dual : LinOrdCat ⥤ LinOrdCat where
+def dual : LinOrd ⥤ LinOrd where
   obj X := of Xᵒᵈ
   map := OrderHom.dual
 set_option linter.uppercaseLean3 false in
-#align LinOrd.dual LinOrdCat.dual
+#align LinOrd.dual LinOrd.dual
 
-/-- The equivalence between `LinOrdCat` and itself induced by `OrderDual` both ways. -/
+/-- The equivalence between `LinOrd` and itself induced by `OrderDual` both ways. -/
 @[simps functor inverse]
-def dualEquiv : LinOrdCat ≌ LinOrdCat where
+def dualEquiv : LinOrd ≌ LinOrd where
   functor := dual
   inverse := dual
   unitIso := NatIso.ofComponents fun X => Iso.mk <| OrderIso.dualDual X
   counitIso := NatIso.ofComponents fun X => Iso.mk <| OrderIso.dualDual X
 set_option linter.uppercaseLean3 false in
-#align LinOrd.dual_equiv LinOrdCat.dualEquiv
+#align LinOrd.dual_equiv LinOrd.dualEquiv
 
-end LinOrdCat
+end LinOrd
 
-theorem linOrdCat_dual_comp_forget_to_latCat :
-    LinOrdCat.dual ⋙ forget₂ LinOrdCat LatCat = forget₂ LinOrdCat LatCat ⋙ LatCat.dual :=
+theorem linOrd_dual_comp_forget_to_Lat :
+    LinOrd.dual ⋙ forget₂ LinOrd Lat = forget₂ LinOrd Lat ⋙ Lat.dual :=
   rfl
 set_option linter.uppercaseLean3 false in
-#align LinOrd_dual_comp_forget_to_Lat linOrdCat_dual_comp_forget_to_latCat
+#align LinOrd_dual_comp_forget_to_Lat linOrd_dual_comp_forget_to_Lat
chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

Diff
@@ -35,17 +35,17 @@ deriving instance LargeCategory for LinOrdCat
 instance : ConcreteCategory LinOrdCat :=
   BundledHom.concreteCategory _
 
-instance : CoeSort LinOrdCat (Type _) :=
+instance : CoeSort LinOrdCat (Type*) :=
   Bundled.coeSort
 
 /-- Construct a bundled `LinOrdCat` from the underlying type and typeclass. -/
-def of (α : Type _) [LinearOrder α] : LinOrdCat :=
+def of (α : Type*) [LinearOrder α] : LinOrdCat :=
   Bundled.of α
 set_option linter.uppercaseLean3 false in
 #align LinOrd.of LinOrdCat.of
 
 @[simp]
-theorem coe_of (α : Type _) [LinearOrder α] : ↥(of α) = α :=
+theorem coe_of (α : Type*) [LinearOrder α] : ↥(of α) = α :=
   rfl
 set_option linter.uppercaseLean3 false in
 #align LinOrd.coe_of LinOrdCat.coe_of
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
@@ -2,14 +2,11 @@
 Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module order.category.LinOrd
-! leanprover-community/mathlib commit e8ac6315bcfcbaf2d19a046719c3b553206dac75
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Order.Category.LatCat
 
+#align_import order.category.LinOrd from "leanprover-community/mathlib"@"e8ac6315bcfcbaf2d19a046719c3b553206dac75"
+
 /-!
 # Category of linear orders
 
feat: port Order.Category.HeytAlgCat (#5021)

Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>

Diff
@@ -34,6 +34,7 @@ instance : BundledHom.ParentProjection @LinearOrder.toPartialOrder :=
 
 deriving instance LargeCategory for LinOrdCat
 
+-- Porting note: Probably see https://github.com/leanprover-community/mathlib4/issues/5020
 instance : ConcreteCategory LinOrdCat :=
   BundledHom.concreteCategory _
 
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
@@ -92,8 +92,8 @@ set_option linter.uppercaseLean3 false in
 def dualEquiv : LinOrdCat ≌ LinOrdCat where
   functor := dual
   inverse := dual
-  unitIso := NatIso.ofComponents (fun X => Iso.mk <| OrderIso.dualDual X) (fun _ => rfl)
-  counitIso := NatIso.ofComponents (fun X => Iso.mk <| OrderIso.dualDual X) (fun _ => rfl)
+  unitIso := NatIso.ofComponents fun X => Iso.mk <| OrderIso.dualDual X
+  counitIso := NatIso.ofComponents fun X => Iso.mk <| OrderIso.dualDual X
 set_option linter.uppercaseLean3 false in
 #align LinOrd.dual_equiv LinOrdCat.dualEquiv
 
feat: port Order.Category.LinOrd (#3281)

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

Dependencies 121

122 files ported (100.0%)
48104 lines ported (100.0%)

All dependencies are ported!