Theorems · Definition · category theory
CategoryTheory.EnrichedFunctor.obj
{V : Type v} →
[inst : CategoryTheory.Category.{w, v} V] →
[inst_1 : CategoryTheory.MonoidalCategory V] →
{C : Type u₁} →
[inst_2 : CategoryTheory.EnrichedCategory V C] →
{D : Type u₂} → [inst_3 : CategoryTheory.EnrichedCategory V D] → CategoryTheory.EnrichedFunctor V C D → C → DThe application of this functor to an object
- Defined in
- Mathlib.CategoryTheory.Enriched.Basic
- Cited by
- 36 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.EnrichedCategorystatement and proof · cited by 99
- CategoryTheory.EnrichedFunctorstatement and proof · cited by 49
Cited by46
Results whose statement or proof uses this declaration.
- CategoryTheory.EnrichedFunctor.mapstatement · cited by 26
- CategoryTheory.EnrichedFunctor.forgetproof · cited by 24
- CategoryTheory.EnrichedFunctor.compproof · cited by 15
- CategoryTheory.EnrichedFunctor.map_idstatement · cited by 5
- CategoryTheory.GradedNatTrans.appstatement · cited by 5
- CategoryTheory.enrichedFunctorTypeEquivFunctorproof · cited by 4
- CategoryTheory.EnrichedFunctor.map_compstatement · cited by 2
- CategoryTheory.EnrichedCat.whiskerRight_out_appstatement and proof · cited by 2
- CategoryTheory.EnrichedFunctor.extstatement and proof · cited by 2
- CategoryTheory.GradedNatTrans.extstatement and proof · cited by 1
- CategoryTheory.GradedNatTrans.naturalitystatement · cited by 1
- CategoryTheory.EnrichedCat.whiskerLeft_out_appstatement and proof · cited by 1