Theorems · Definition · category theory
CategoryTheory.EnrichedFunctor.id
(V : Type v) →
[inst : CategoryTheory.Category.{w, v} V] →
[inst_1 : CategoryTheory.MonoidalCategory V] →
(C : Type u₁) → [inst_2 : CategoryTheory.EnrichedCategory V C] → CategoryTheory.EnrichedFunctor V C CThe identity enriched functor.
- Defined in
- Mathlib.CategoryTheory.Enriched.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
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
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.EnrichedCategory.Homproof · cited by 114
- CategoryTheory.EnrichedCategorystatement and proof · cited by 99
- CategoryTheory.EnrichedFunctorstatement · cited by 49
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.EnrichedCat.leftUnitorstatement and proof · cited by 2
- CategoryTheory.EnrichedCat.rightUnitorstatement and proof · cited by 2
- CategoryTheory.EnrichedFunctor.forgetIdstatement and proof · cited by 2
- CategoryTheory.EnrichedFunctor.id_mapstatement and proof · cited by 1
- CategoryTheory.EnrichedFunctor.id_objstatement and proof · cited by 0
- CategoryTheory.EnrichedCat.leftUnitor_hom_out_appstatement · cited by 0
- CategoryTheory.EnrichedCat.leftUnitor_inv_out_appstatement · cited by 0
- CategoryTheory.EnrichedCat.rightUnitor_hom_out_appstatement · cited by 0
- CategoryTheory.EnrichedCat.rightUnitor_inv_out_appstatement · cited by 0
- CategoryTheory.EnrichedFunctor.forgetId_hom_appstatement · cited by 0
- CategoryTheory.EnrichedFunctor.forgetId_inv_appstatement · cited by 0
- CategoryTheory.SimplicialThickening.functor_idstatement · cited by 0