Theorems · Definition · category theory
CategoryTheory.SimplicialObject.Augmented.rightOp
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
CategoryTheory.SimplicialObject.Augmented C → CategoryTheory.CosimplicialObject.Augmented CᵒᵖConstruct an augmented cosimplicial object in the opposite category from an augmented simplicial object.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 34 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.
Cites9
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
- Oppositestatement · cited by 8,081
- CategoryTheory.Comma.leftproof · cited by 886
- CategoryTheory.Comma.rightproof · cited by 727
- CategoryTheory.Comma.homproof · cited by 490
- CategoryTheory.Functor.rightOpproof · cited by 214
- CategoryTheory.SimplicialObject.Augmentedstatement and proof · cited by 113
- CategoryTheory.CosimplicialObject.Augmentedstatement · cited by 72
- CategoryTheory.NatTrans.rightOpproof · cited by 18
Cited by18
Results whose statement or proof uses this declaration.
- CategoryTheory.SimplicialObject.Augmented.rightOpLeftOpIsostatement · cited by 4
- CategoryTheory.CosimplicialObject.Augmented.leftOpRightOpIsostatement · cited by 4
- CategoryTheory.simplicialToCosimplicialAugmentedproof · cited by 4
- CategoryTheory.CosimplicialObject.Augmented.leftOpRightOpIso_inv_right_appstatement · cited by 0
- CategoryTheory.SimplicialObject.Augmented.rightOpLeftOpIso_hom_left_appstatement · cited by 0
- CategoryTheory.SimplicialObject.Augmented.rightOpLeftOpIso_hom_rightstatement · cited by 0
- CategoryTheory.SimplicialObject.Augmented.rightOpLeftOpIso_inv_left_appstatement · cited by 0
- CategoryTheory.SimplicialObject.Augmented.rightOpLeftOpIso_inv_rightstatement · cited by 0
- CategoryTheory.SimplicialObject.Augmented.rightOp_hom_appstatement and proof · cited by 0
- CategoryTheory.SimplicialObject.Augmented.rightOp_leftstatement and proof · cited by 0
- CategoryTheory.SimplicialObject.Augmented.rightOp_right_mapstatement and proof · cited by 0
- CategoryTheory.SimplicialObject.Augmented.rightOp_right_objstatement and proof · cited by 0