Theorems · Definition · category theory
CategoryTheory.CosimplicialObject.Augmented.const
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor C (CategoryTheory.CosimplicialObject.Augmented C)The constant augmented cosimplicial object functor.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.CosimplicialObject.Augmentedstatement · cited by 72
- CategoryTheory.CosimplicialObject.constproof · cited by 55
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.CosimplicialObject.Augmented.const_map_leftstatement and proof · cited by 0
- CategoryTheory.CosimplicialObject.Augmented.const_map_rightstatement and proof · cited by 0
- CategoryTheory.CosimplicialObject.Augmented.const_obj_homstatement and proof · cited by 0
- CategoryTheory.CosimplicialObject.Augmented.const_obj_leftstatement and proof · cited by 0
- CategoryTheory.CosimplicialObject.Augmented.const_obj_rightstatement and proof · cited by 0