Theorems · Definition · category theory
CategoryTheory.GradedNatTrans.app
{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] →
{A : CategoryTheory.Center V} →
{F G : CategoryTheory.EnrichedFunctor V C D} →
CategoryTheory.GradedNatTrans A F G → (X : C) → A.fst ⟶ F.obj X ⟶[V] G.obj XThe A-graded transformation from F to G
- Defined in
- Mathlib.CategoryTheory.Enriched.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.EnrichedCategory.Homstatement · cited by 114
- CategoryTheory.EnrichedCategorystatement and proof · cited by 99
- CategoryTheory.HalfBraidingstatement · cited by 62
- CategoryTheory.Centerstatement and proof · cited by 58
- CategoryTheory.EnrichedFunctorstatement and proof · cited by 49
- CategoryTheory.EnrichedFunctor.objstatement · cited by 36
- CategoryTheory.GradedNatTransstatement and proof · cited by 10
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.enrichedNatTransYonedaproof · cited by 2
- CategoryTheory.GradedNatTrans.extstatement and proof · cited by 1
- CategoryTheory.GradedNatTrans.naturalitystatement · cited by 1
- CategoryTheory.GradedNatTrans.ext_iffstatement and proof · cited by 0
- CategoryTheory.GradedNatTrans.naturality_assocstatement and proof · cited by 0
- CategoryTheory.enrichedNatTransYonedaTypeIsoYonedaNatTransproof · cited by 0
- CategoryTheory.enrichedNatTransYoneda_mapstatement · cited by 0