Theorems · Definition · category theory
CategoryTheory.CosimplicialObject.Augmented
(C : Type u) → [CategoryTheory.Category.{v, u} C] → Type (max u v)Augmented cosimplicial objects.
- Cited by
- 72 results in Mathlib
- Foundations
- Depth 33 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.Functor.idproof · cited by 3,333
- CategoryTheory.Commaproof · cited by 566
- CategoryTheory.CosimplicialObjectproof · cited by 125
- CategoryTheory.CosimplicialObject.constproof · cited by 55
Cited by97
Results whose statement or proof uses this declaration.
- AugmentedSimplexCategory.equivAugmentedCosimplicialObjectstatement · cited by 23
- CategoryTheory.CosimplicialObject.Augmented.toArrowstatement and proof · cited by 15
- CategoryTheory.SimplicialObject.Augmented.rightOpstatement · cited by 15
- CategoryTheory.CosimplicialObject.Augmented.leftOpstatement and proof · cited by 14
- CategoryTheory.Arrow.augmentedCechConervestatement · cited by 13
- CategoryTheory.CosimplicialObject.Augmented.dropstatement · cited by 7
- CategoryTheory.CosimplicialObject.Augmented.pointstatement · cited by 7
- CategoryTheory.CosimplicialObject.Augmented.conststatement · cited by 5
- CategoryTheory.CosimplicialObject.Augmented.leftOpRightOpIsostatement and proof · cited by 4
- CategoryTheory.CosimplicialObject.augmentstatement · cited by 4
- AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompToArrowIsostatement · cited by 4
- CategoryTheory.simplicialToCosimplicialAugmentedstatement · cited by 4