algebra.category.Group.Z_Module_equivalenceMathlib.Algebra.Category.GroupCat.ZModuleEquivalence

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
@@ -28,9 +28,9 @@ universe u
 
 namespace ModuleCat
 
-#print ModuleCat.forget₂AddCommGroupFull /-
+#print ModuleCat.forget₂_addCommGroup_full /-
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is full. -/
-instance forget₂AddCommGroupFull :
+instance forget₂_addCommGroup_full :
     CategoryTheory.Functor.Full (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
     where preimage A B
     f :=-- `add_monoid_hom.to_int_linear_map` doesn't work here because `A` and `B` are not definitionally
@@ -39,7 +39,7 @@ instance forget₂AddCommGroupFull :
       map_add' := AddMonoidHom.map_add f
       map_smul' := fun n x => by
         rw [int_smul_eq_zsmul, int_smul_eq_zsmul, map_zsmul, RingHom.id_apply] }
-#align Module.forget₂_AddCommGroup_full ModuleCat.forget₂AddCommGroupFull
+#align Module.forget₂_AddCommGroup_full ModuleCat.forget₂_addCommGroup_full
 -/
 
 #print ModuleCat.forget₂_addCommGroupCat_essSurj /-
Diff
@@ -30,7 +30,8 @@ namespace ModuleCat
 
 #print ModuleCat.forget₂AddCommGroupFull /-
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is full. -/
-instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
+instance forget₂AddCommGroupFull :
+    CategoryTheory.Functor.Full (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
     where preimage A B
     f :=-- `add_monoid_hom.to_int_linear_map` doesn't work here because `A` and `B` are not definitionally
     -- equal to the canonical `add_comm_group.int_module` module instances it expects.
@@ -43,7 +44,8 @@ instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGrou
 
 #print ModuleCat.forget₂_addCommGroupCat_essSurj /-
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is essentially surjective. -/
-instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
+instance forget₂_addCommGroupCat_essSurj :
+    CategoryTheory.Functor.EssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
     where mem_essImage A :=
     ⟨ModuleCat.of ℤ A,
       ⟨{  Hom := 𝟙 A
@@ -53,8 +55,9 @@ instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ)
 
 #print ModuleCat.forget₂AddCommGroupIsEquivalence /-
 noncomputable instance forget₂AddCommGroupIsEquivalence :
-    IsEquivalence (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}) :=
-  Equivalence.ofFullyFaithfullyEssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat)
+    CategoryTheory.Functor.IsEquivalence (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}) :=
+  CategoryTheory.Functor.IsEquivalence.ofFullyFaithfullyEssSurj
+    (forget₂ (ModuleCat ℤ) AddCommGroupCat)
 #align Module.forget₂_AddCommGroup_is_equivalence ModuleCat.forget₂AddCommGroupIsEquivalence
 -/
 
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Algebra.Category.Module.Basic
+import Algebra.Category.ModuleCat.Basic
 
 #align_import algebra.category.Group.Z_Module_equivalence from "leanprover-community/mathlib"@"ef55335933293309ff8c0b1d20ffffeecbe5c39f"
 
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.Algebra.Category.Module.Basic
+import Algebra.Category.Module.Basic
 
 #align_import algebra.category.Group.Z_Module_equivalence from "leanprover-community/mathlib"@"ef55335933293309ff8c0b1d20ffffeecbe5c39f"
 
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.category.Group.Z_Module_equivalence
-! leanprover-community/mathlib commit ef55335933293309ff8c0b1d20ffffeecbe5c39f
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Category.Module.Basic
 
+#align_import algebra.category.Group.Z_Module_equivalence from "leanprover-community/mathlib"@"ef55335933293309ff8c0b1d20ffffeecbe5c39f"
+
 /-!
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
 > Any changes to this file require a corresponding PR to mathlib4.
Diff
@@ -31,6 +31,7 @@ universe u
 
 namespace ModuleCat
 
+#print ModuleCat.forget₂AddCommGroupFull /-
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is full. -/
 instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
     where preimage A B
@@ -41,7 +42,9 @@ instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGrou
       map_smul' := fun n x => by
         rw [int_smul_eq_zsmul, int_smul_eq_zsmul, map_zsmul, RingHom.id_apply] }
 #align Module.forget₂_AddCommGroup_full ModuleCat.forget₂AddCommGroupFull
+-/
 
+#print ModuleCat.forget₂_addCommGroupCat_essSurj /-
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is essentially surjective. -/
 instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
     where mem_essImage A :=
@@ -49,11 +52,14 @@ instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ)
       ⟨{  Hom := 𝟙 A
           inv := 𝟙 A }⟩⟩
 #align Module.forget₂_AddCommGroup_ess_surj ModuleCat.forget₂_addCommGroupCat_essSurj
+-/
 
+#print ModuleCat.forget₂AddCommGroupIsEquivalence /-
 noncomputable instance forget₂AddCommGroupIsEquivalence :
     IsEquivalence (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}) :=
   Equivalence.ofFullyFaithfullyEssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat)
 #align Module.forget₂_AddCommGroup_is_equivalence ModuleCat.forget₂AddCommGroupIsEquivalence
+-/
 
 end ModuleCat
 
Diff
@@ -31,12 +31,6 @@ universe u
 
 namespace ModuleCat
 
-/- warning: Module.forget₂_AddCommGroup_full -> ModuleCat.forget₂AddCommGroupFull is a dubious translation:
-lean 3 declaration is
-  CategoryTheory.Full.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.ring) (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.ring))
-but is expected to have type
-  CategoryTheory.Full.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} instAddCommGroupCatLargeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) instAddCommGroupCatLargeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
-Case conversion may be inaccurate. Consider using '#align Module.forget₂_AddCommGroup_full ModuleCat.forget₂AddCommGroupFullₓ'. -/
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is full. -/
 instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
     where preimage A B
@@ -48,12 +42,6 @@ instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGrou
         rw [int_smul_eq_zsmul, int_smul_eq_zsmul, map_zsmul, RingHom.id_apply] }
 #align Module.forget₂_AddCommGroup_full ModuleCat.forget₂AddCommGroupFull
 
-/- warning: Module.forget₂_AddCommGroup_ess_surj -> ModuleCat.forget₂_addCommGroupCat_essSurj is a dubious translation:
-lean 3 declaration is
-  CategoryTheory.EssSurj.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.ring))
-but is expected to have type
-  CategoryTheory.EssSurj.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) instAddCommGroupCatLargeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) instAddCommGroupCatLargeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
-Case conversion may be inaccurate. Consider using '#align Module.forget₂_AddCommGroup_ess_surj ModuleCat.forget₂_addCommGroupCat_essSurjₓ'. -/
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is essentially surjective. -/
 instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
     where mem_essImage A :=
@@ -62,12 +50,6 @@ instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ)
           inv := 𝟙 A }⟩⟩
 #align Module.forget₂_AddCommGroup_ess_surj ModuleCat.forget₂_addCommGroupCat_essSurj
 
-/- warning: Module.forget₂_AddCommGroup_is_equivalence -> ModuleCat.forget₂AddCommGroupIsEquivalence is a dubious translation:
-lean 3 declaration is
-  CategoryTheory.IsEquivalence.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.ring) (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.ring))
-but is expected to have type
-  CategoryTheory.IsEquivalence.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} instAddCommGroupCatLargeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) instAddCommGroupCatLargeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
-Case conversion may be inaccurate. Consider using '#align Module.forget₂_AddCommGroup_is_equivalence ModuleCat.forget₂AddCommGroupIsEquivalenceₓ'. -/
 noncomputable instance forget₂AddCommGroupIsEquivalence :
     IsEquivalence (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}) :=
   Equivalence.ofFullyFaithfullyEssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat)
Diff
@@ -35,7 +35,7 @@ namespace ModuleCat
 lean 3 declaration is
   CategoryTheory.Full.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.ring) (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.ring))
 but is expected to have type
-  CategoryTheory.Full.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
+  CategoryTheory.Full.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} instAddCommGroupCatLargeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) instAddCommGroupCatLargeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
 Case conversion may be inaccurate. Consider using '#align Module.forget₂_AddCommGroup_full ModuleCat.forget₂AddCommGroupFullₓ'. -/
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is full. -/
 instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
@@ -52,7 +52,7 @@ instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGrou
 lean 3 declaration is
   CategoryTheory.EssSurj.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.ring))
 but is expected to have type
-  CategoryTheory.EssSurj.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
+  CategoryTheory.EssSurj.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) instAddCommGroupCatLargeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) instAddCommGroupCatLargeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
 Case conversion may be inaccurate. Consider using '#align Module.forget₂_AddCommGroup_ess_surj ModuleCat.forget₂_addCommGroupCat_essSurjₓ'. -/
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is essentially surjective. -/
 instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
@@ -66,7 +66,7 @@ instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ)
 lean 3 declaration is
   CategoryTheory.IsEquivalence.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.ring) (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.ring))
 but is expected to have type
-  CategoryTheory.IsEquivalence.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
+  CategoryTheory.IsEquivalence.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} instAddCommGroupCatLargeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) instAddCommGroupCatLargeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
 Case conversion may be inaccurate. Consider using '#align Module.forget₂_AddCommGroup_is_equivalence ModuleCat.forget₂AddCommGroupIsEquivalenceₓ'. -/
 noncomputable instance forget₂AddCommGroupIsEquivalence :
     IsEquivalence (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}) :=
Diff
@@ -4,13 +4,16 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebra.category.Group.Z_Module_equivalence
-! leanprover-community/mathlib commit bf1b813e20e108e8868341ca94bb3404a2506ae5
+! leanprover-community/mathlib commit ef55335933293309ff8c0b1d20ffffeecbe5c39f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Category.Module.Basic
 
 /-!
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 The forgetful functor from ℤ-modules to additive commutative groups is
 an equivalence of categories.
 
Diff
@@ -28,6 +28,12 @@ universe u
 
 namespace ModuleCat
 
+/- warning: Module.forget₂_AddCommGroup_full -> ModuleCat.forget₂AddCommGroupFull is a dubious translation:
+lean 3 declaration is
+  CategoryTheory.Full.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.ring) (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.ring))
+but is expected to have type
+  CategoryTheory.Full.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
+Case conversion may be inaccurate. Consider using '#align Module.forget₂_AddCommGroup_full ModuleCat.forget₂AddCommGroupFullₓ'. -/
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is full. -/
 instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
     where preimage A B
@@ -39,6 +45,12 @@ instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGrou
         rw [int_smul_eq_zsmul, int_smul_eq_zsmul, map_zsmul, RingHom.id_apply] }
 #align Module.forget₂_AddCommGroup_full ModuleCat.forget₂AddCommGroupFull
 
+/- warning: Module.forget₂_AddCommGroup_ess_surj -> ModuleCat.forget₂_addCommGroupCat_essSurj is a dubious translation:
+lean 3 declaration is
+  CategoryTheory.EssSurj.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.ring))
+but is expected to have type
+  CategoryTheory.EssSurj.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
+Case conversion may be inaccurate. Consider using '#align Module.forget₂_AddCommGroup_ess_surj ModuleCat.forget₂_addCommGroupCat_essSurjₓ'. -/
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is essentially surjective. -/
 instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
     where mem_essImage A :=
@@ -47,6 +59,12 @@ instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ)
           inv := 𝟙 A }⟩⟩
 #align Module.forget₂_AddCommGroup_ess_surj ModuleCat.forget₂_addCommGroupCat_essSurj
 
+/- warning: Module.forget₂_AddCommGroup_is_equivalence -> ModuleCat.forget₂AddCommGroupIsEquivalence is a dubious translation:
+lean 3 declaration is
+  CategoryTheory.IsEquivalence.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.ring) (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.ring) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.ring) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.ring) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.ring))
+but is expected to have type
+  CategoryTheory.IsEquivalence.{u1, u1, succ u1, succ u1} (ModuleCat.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} AddCommGroupCat.largeCategory.{u1} (CategoryTheory.forget₂.{succ u1, succ u1, u1, u1, u1} (ModuleCat.{u1, 0} Int Int.instRingInt) AddCommGroupCat.{u1} (ModuleCat.moduleCategory.{u1, 0} Int Int.instRingInt) (ModuleCat.moduleConcreteCategory.{u1, 0} Int Int.instRingInt) AddCommGroupCat.largeCategory.{u1} AddCommGroupCat.concreteCategory.{u1} (ModuleCat.hasForgetToAddCommGroup.{0, u1} Int Int.instRingInt))
+Case conversion may be inaccurate. Consider using '#align Module.forget₂_AddCommGroup_is_equivalence ModuleCat.forget₂AddCommGroupIsEquivalenceₓ'. -/
 noncomputable instance forget₂AddCommGroupIsEquivalence :
     IsEquivalence (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}) :=
   Equivalence.ofFullyFaithfullyEssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat)

Changes in mathlib4

mathlib3
mathlib4
chore(CategoryTheory): make Functor.Full a Prop (#12449)

Before this PR, Functor.Full contained the data of the preimage of maps by a full functor F. This PR makes Functor.Full a proposition. This is to prevent any diamond to appear.

The lemma Functor.image_preimage is also renamed Functor.map_preimage.

Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>

Diff
@@ -26,19 +26,19 @@ universe u
 namespace ModuleCat
 
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is full. -/
-instance forget₂AddCommGroupFull : (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}).Full where
-  preimage {A B}
+instance forget₂_addCommGroup_full : (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}).Full where
+  map_surjective {A B}
     -- `AddMonoidHom.toIntLinearMap` doesn't work here because `A` and `B` are not
     -- definitionally equal to the canonical `AddCommGroup.intModule` module
     -- instances it expects.
-    f := @LinearMap.mk _ _ _ _ _ _ _ _ _ A.isModule B.isModule
+    f := ⟨@LinearMap.mk _ _ _ _ _ _ _ _ _ A.isModule B.isModule
         { toFun := f,
           map_add' := AddMonoidHom.map_add (show A.carrier →+ B.carrier from f) }
         (fun n x => by
           convert AddMonoidHom.map_zsmul (show A.carrier →+ B.carrier from f) x n <;>
-            ext <;> apply int_smul_eq_zsmul)
+            ext <;> apply int_smul_eq_zsmul), rfl⟩
 set_option linter.uppercaseLean3 false in
-#align Module.forget₂_AddCommGroup_full ModuleCat.forget₂AddCommGroupFull
+#align Module.forget₂_AddCommGroup_full ModuleCat.forget₂_addCommGroup_full
 
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is essentially surjective. -/
 instance forget₂_addCommGroupCat_essSurj : (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}).EssSurj where
chore(CategoryTheory): move Full, Faithful, EssSurj, IsEquivalence and ReflectsIsomorphisms to the Functor namespace (#11985)

These notions on functors are now Functor.Full, Functor.Faithful, Functor.EssSurj, Functor.IsEquivalence, Functor.ReflectsIsomorphisms. Deprecated aliases are introduced for the previous names.

Diff
@@ -26,7 +26,7 @@ universe u
 namespace ModuleCat
 
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is full. -/
-instance forget₂AddCommGroupFull : Full (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}) where
+instance forget₂AddCommGroupFull : (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}).Full where
   preimage {A B}
     -- `AddMonoidHom.toIntLinearMap` doesn't work here because `A` and `B` are not
     -- definitionally equal to the canonical `AddCommGroup.intModule` module
@@ -41,7 +41,7 @@ set_option linter.uppercaseLean3 false in
 #align Module.forget₂_AddCommGroup_full ModuleCat.forget₂AddCommGroupFull
 
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is essentially surjective. -/
-instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}) where
+instance forget₂_addCommGroupCat_essSurj : (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}).EssSurj where
   mem_essImage A :=
     ⟨ModuleCat.of ℤ A,
       ⟨{  hom := 𝟙 A
@@ -50,8 +50,8 @@ set_option linter.uppercaseLean3 false in
 #align Module.forget₂_AddCommGroup_ess_surj ModuleCat.forget₂_addCommGroupCat_essSurj
 
 noncomputable instance forget₂AddCommGroupIsEquivalence :
-    IsEquivalence (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}) :=
-  Equivalence.ofFullyFaithfullyEssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat)
+    (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}).IsEquivalence :=
+  Functor.IsEquivalence.ofFullyFaithfullyEssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat)
 set_option linter.uppercaseLean3 false in
 #align Module.forget₂_AddCommGroup_is_equivalence ModuleCat.forget₂AddCommGroupIsEquivalence
 
style: fix wrapping of where (#7149)
Diff
@@ -41,8 +41,8 @@ set_option linter.uppercaseLean3 false in
 #align Module.forget₂_AddCommGroup_full ModuleCat.forget₂AddCommGroupFull
 
 /-- The forgetful functor from `ℤ` modules to `AddCommGroup` is essentially surjective. -/
-instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u})
-    where mem_essImage A :=
+instance forget₂_addCommGroupCat_essSurj : EssSurj (forget₂ (ModuleCat ℤ) AddCommGroupCat.{u}) where
+  mem_essImage A :=
     ⟨ModuleCat.of ℤ A,
       ⟨{  hom := 𝟙 A
           inv := 𝟙 A }⟩⟩
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 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.category.Group.Z_Module_equivalence
-! leanprover-community/mathlib commit bf1b813e20e108e8868341ca94bb3404a2506ae5
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Category.ModuleCat.Basic
 
+#align_import algebra.category.Group.Z_Module_equivalence from "leanprover-community/mathlib"@"bf1b813e20e108e8868341ca94bb3404a2506ae5"
+
 /-!
 The forgetful functor from ℤ-modules to additive commutative groups is
 an equivalence of categories.
feat: port Algebra.Category.Group.ZModuleEquivalence (#3732)

Dependencies 8 + 445

446 files ported (98.2%)
176959 lines ported (98.3%)
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The unported dependencies are