Theorems · Definition · category theory
CategoryTheory.CosimplicialObject.Augmented.drop
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
CategoryTheory.Functor (CategoryTheory.CosimplicialObject.Augmented C) (CategoryTheory.CosimplicialObject C)Drop the augmentation.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 38 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.
Cites7
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
- CategoryTheory.Functor.idproof · cited by 3,333
- CategoryTheory.CosimplicialObjectstatement and proof · cited by 125
- CategoryTheory.CosimplicialObject.Augmentedstatement · cited by 72
- CategoryTheory.CosimplicialObject.constproof · cited by 55
- CategoryTheory.Comma.sndproof · cited by 51
Cited by11
Results whose statement or proof uses this declaration.
- CategoryTheory.CosimplicialObject.Augmented.toArrowproof · cited by 15
- CategoryTheory.CosimplicialObject.Augmented.whiskeringproof · cited by 3
- CategoryTheory.CosimplicialObject.Augmented.whiskeringObjproof · cited by 3
- AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompDropIsostatement and proof · cited by 2
- CategoryTheory.CosimplicialObject.Augmented.toArrow_map_leftstatement · cited by 0
- CategoryTheory.CosimplicialObject.Augmented.toArrow_map_rightstatement · cited by 0
- AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompDropIso_hom_app_appstatement · cited by 0
- AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompDropIso_inv_app_appstatement · cited by 0
- CategoryTheory.CosimplicialObject.Augmented.whiskering_map_app_rightstatement · cited by 0
- CategoryTheory.CosimplicialObject.Augmented.drop_mapstatement and proof · cited by 0
- CategoryTheory.CosimplicialObject.Augmented.drop_objstatement and proof · cited by 0