Theorems · Definition · category theory
CategoryTheory.ihom.coev
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
(A : C) →
[inst_2 : CategoryTheory.Closed A] →
CategoryTheory.Functor.id C ⟶ (CategoryTheory.MonoidalCategory.tensorLeft A).comp (CategoryTheory.ihom A)The coevaluation natural transformation.
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 25 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.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Adjunction.unitproof · cited by 387
- CategoryTheory.ihomstatement · cited by 179
- CategoryTheory.MonoidalCategory.tensorLeftstatement · cited by 170
- CategoryTheory.Closedstatement and proof · cited by 90
- CategoryTheory.ihom.adjunctionproof · cited by 31
Cited by21
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.closedUnitproof · cited by 3
- CategoryTheory.MonoidalClosed.whiskerLeft_curry_ihom_ev_appproof · cited by 3
- CategoryTheory.Pi.closedUnitproof · cited by 2
- CategoryTheory.ihom.ev_coev_assocstatement and proof · cited by 2
- CategoryTheory.MonoidalClosed.coev_app_comp_pre_appstatement · cited by 1
- CategoryTheory.MonoidalClosed.coev_app_comp_pre_app_assocstatement and proof · cited by 1
- CategoryTheory.MonoidalClosed.curry_eqstatement · cited by 1
- CategoryTheory.ihom.coev_evstatement · cited by 1
- CategoryTheory.ihom.coev_naturalitystatement and proof · cited by 1
- CategoryTheory.ihom.coev_naturality_assocstatement and proof · cited by 1
- CategoryTheory.ihom.ev_coevstatement · cited by 1
- CategoryTheory.Monoidal.Reflective.isIso_tfaeproof · cited by 0