Theorems · Theorem · category theory
CategoryTheory.Preadditive.commGrpEquivalence_functor_obj_grp_inv
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
[inst_2 : CategoryTheory.CartesianMonoidalCategory C] [inst_3 : CategoryTheory.BraidedCategory C] (X : C),
CategoryTheory.GrpObj.inv = -CategoryTheory.CategoryStruct.id X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Equivalence.functorstatement · cited by 1,268
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.CommGrpstatement · cited by 74
- CategoryTheory.GrpObj.invstatement and proof · cited by 50
- CategoryTheory.Preadditive.commGrpEquivalencestatement · cited by 11
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.