Theorems · Definition · category theory
CategoryTheory.simplicialToCosimplicialAugmented
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
CategoryTheory.Functor (CategoryTheory.SimplicialObject.Augmented C)ᵒᵖ
(CategoryTheory.CosimplicialObject.Augmented Cᵒᵖ)A functorial version of SimplicialObject.Augmented.rightOp.
- Cited by
- 4 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.
Cites13
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.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- Opposite.unopproof · cited by 2,231
- Quiver.Hom.opproof · cited by 1,948
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.CommaMorphism.leftproof · cited by 526
- CategoryTheory.CommaMorphism.rightproof · cited by 391
- CategoryTheory.SimplicialObject.Augmentedstatement and proof · cited by 113
- CategoryTheory.CosimplicialObject.Augmentedstatement · cited by 72
- CategoryTheory.NatTrans.rightOpproof · cited by 18
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.simplicialCosimplicialAugmentedEquivproof · cited by 2
- CategoryTheory.simplicialCosimplicialAugmentedEquiv_functorstatement · cited by 0
- CategoryTheory.simplicialToCosimplicialAugmented_map_leftstatement and proof · cited by 0
- CategoryTheory.simplicialToCosimplicialAugmented_map_rightstatement and proof · cited by 0
- CategoryTheory.simplicialToCosimplicialAugmented_objstatement and proof · cited by 0