Theorems · Definition · category theory
CategoryTheory.Adjunction.CoreUnitCounit.counit
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
{F : CategoryTheory.Functor C D} →
{G : CategoryTheory.Functor D C} →
CategoryTheory.Adjunction.CoreUnitCounit F G → (G.comp F ⟶ CategoryTheory.Functor.id D)The counit of an adjunction between F and G
- Defined in
- Mathlib.CategoryTheory.Adjunction.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Adjunction.CoreUnitCounitstatement and proof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Adjunction.mkOfUnitCounitproof · cited by 2
- CategoryTheory.Adjunction.CoreUnitCounit.left_trianglestatement · cited by 0
- CategoryTheory.Adjunction.mkOfUnitCounit_counitstatement · cited by 0
- CategoryTheory.Adjunction.CoreUnitCounit.right_trianglestatement · cited by 0