Theorems · Theorem · category theory
CategoryTheory.Functor.closedCounit_app_app
∀ {D : Type u} {C : Type u_1} [inst : CategoryTheory.Groupoid D] [inst_1 : CategoryTheory.Category.{v_1, u_1} C]
[inst_2 : CategoryTheory.MonoidalCategory C] [inst_3 : CategoryTheory.MonoidalClosed C]
(F G : CategoryTheory.Functor D C) (X : D),
(F.closedCounit.app G).app X = (CategoryTheory.ihom.ev (F.obj X)).app (G.obj X)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.ihomstatement · cited by 179
- CategoryTheory.MonoidalCategory.tensorLeftstatement · cited by 170
- CategoryTheory.MonoidalClosedstatement and proof · cited by 134
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.