Theorems · Definition · category theory
CategoryTheory.CosimplicialObject.const
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor C (CategoryTheory.CosimplicialObject C)The constant cosimplicial object.
- Cited by
- 55 results in Mathlib
- Foundations
- Depth 32 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.
Cites5
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.Functorstatement · cited by 16,252
- SimplexCategoryproof · cited by 2,204
- CategoryTheory.Functor.constproof · cited by 1,264
- CategoryTheory.CosimplicialObjectstatement · cited by 125
Cited by59
Results whose statement or proof uses this declaration.
- CategoryTheory.CosimplicialObject.Augmentedproof · cited by 72
- CategoryTheory.CosimplicialObject.Augmented.pointproof · cited by 7
- CategoryTheory.CosimplicialObject.Augmented.dropproof · cited by 7
- CategoryTheory.CosimplicialObject.Augmented.constproof · cited by 5
- CategoryTheory.CosimplicialObject.Augmented.hom_extstatement · cited by 1
- CategoryTheory.CosimplicialObject.augment_hom_appstatement · cited by 1
- CategoryTheory.CosimplicialObject.Augmented.w_appstatement · cited by 1
- CategoryTheory.cosimplicialToSimplicialAugmented_mapstatement · cited by 0
- CategoryTheory.Arrow.augmentedCechConerve_hom_appstatement · cited by 0
- CategoryTheory.Arrow.augmentedCechConerve_leftstatement · cited by 0
- CategoryTheory.Arrow.augmentedCechConerve_rightstatement · cited by 0
- CategoryTheory.SimplicialObject.Augmented.rightOp_hom_appstatement · cited by 0