Theorems · Definition · category theory
CategoryTheory.SingleFunctors.evaluation
(C : Type u_1) →
(D : Type u_2) →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
{A : Type u_5} →
[inst_2 : AddMonoid A] →
[inst_3 : CategoryTheory.HasShift D A] →
A → CategoryTheory.Functor (CategoryTheory.SingleFunctors C D A) (CategoryTheory.Functor C D)The evaluation SingleFunctors C D A ⥤ C ⥤ D for some a : A.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.SingleFunctorsstatement and proof · cited by 65
- CategoryTheory.SingleFunctors.functorproof · cited by 64
- CategoryTheory.SingleFunctors.Hom.homproof · cited by 38
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.ShortExact.singleδproof · cited by 12
- CategoryTheory.ShortComplex.ShortExact.singleTriangleIsoproof · cited by 7
- HomotopyCategory.singleFunctorPostcompQuotientIsoproof · cited by 0
- DerivedCategory.singleFunctorCompHomologyFunctorIsoproof · cited by 0
- CategoryTheory.SingleFunctors.evaluation_mapstatement and proof · cited by 0
- CategoryTheory.SingleFunctors.evaluation_objstatement and proof · cited by 0