Theorems · Definition · category theory
CategoryTheory.Preadditive.commGrpEquivalenceAux
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Preadditive C] →
[inst_2 : CategoryTheory.CartesianMonoidalCategory C] →
[inst_3 : CategoryTheory.BraidedCategory C] →
(CategoryTheory.CommGrp.forget C).comp (CategoryTheory.Preadditive.toCommGrp C) ≅
CategoryTheory.Functor.id (CategoryTheory.CommGrp C)Auxiliary definition for commGrpEquivalence.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.CommGrpstatement and proof · cited by 74
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Preadditive.commGrpEquivalenceproof · cited by 11
- CategoryTheory.Preadditive.commGrpEquivalenceAux_hom_app_hom_hom_homstatement and proof · cited by 0
- CategoryTheory.Preadditive.commGrpEquivalenceAux_inv_app_hom_hom_homstatement and proof · cited by 0