Theorems · Definition · category theory
CategoryTheory.CosimplicialObject
(C : Type u) → [CategoryTheory.Category.{v, u} C] → Type (max v u)Cosimplicial objects.
- Cited by
- 125 results in Mathlib
- Foundations
- Depth 30 from the axioms, rests on 253 definitions · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Functorproof · cited by 16,252
- SimplexCategoryproof · cited by 2,204
Cited by152
Results whose statement or proof uses this declaration.
- SSet.stdSimplexstatement · cited by 499
- CategoryTheory.CosimplicialObject.δstatement and proof · cited by 129
- CategoryTheory.CosimplicialObject.Augmentedproof · cited by 72
- CategoryTheory.CosimplicialObject.conststatement · cited by 55
- CategoryTheory.CosimplicialObject.σstatement and proof · cited by 25
- CategoryTheory.cosimplicialSimplicialEquivstatement · cited by 11
- CategoryTheory.simplicialCosimplicialEquivstatement · cited by 9
- CategoryTheory.Arrow.cechConervestatement · cited by 9
- CategoryTheory.CosimplicialObject.Augmented.pointproof · cited by 7
- CategoryTheory.CosimplicialObject.Augmented.dropstatement and proof · cited by 7
- CategoryTheory.Limits.FormalCoproduct.cosimplicialObjectFunctorstatement · cited by 5
- CategoryTheory.CosimplicialObject.augmentstatement and proof · cited by 4