Theorems · Definition · category theory
CategoryTheory.Functor.rightUnitor
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
(F : CategoryTheory.Functor C D) → F.comp (CategoryTheory.Functor.id D) ≅ FThe right unitor, a natural isomorphism (F ⋙ (𝟭 B)) ≅ F.
- Defined in
- Mathlib.CategoryTheory.Functor.Category
- Cited by
- 149 results in Mathlib
- Foundations
- Depth 23 from the axioms, rests on 110 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 and proof · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
Cited by213
Results whose statement or proof uses this declaration.
- CategoryTheory.Equivalence.transproof · cited by 57
- CategoryTheory.conjugateEquivproof · cited by 51
- CategoryTheory.Adjunction.compproof · cited by 42
- CategoryTheory.isSheaf_iff_isSheaf_of_typeproof · cited by 30
- CategoryTheory.Adjunction.comp_unit_appproof · cited by 25
- CategoryTheory.mateEquivproof · cited by 22
- CategoryTheory.Adjunction.comp_counit_appproof · cited by 19
- CategoryTheory.Adjunction.Triple.leftToRightproof · cited by 18
- CategoryTheory.Equivalence.congrRightproof · cited by 14
- CategoryTheory.Abelian.Preradical.colonproof · cited by 13
- CategoryTheory.Limits.CatCospanTransform.rightUnitorproof · cited by 13
- CategoryTheory.Abelian.Preradical.colonπproof · cited by 9
Showing the 200 most cited of 213.