Theorems · Definition · category theory
CategoryTheory.CosimplicialObject.Augmented.whiskeringObj
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
(D : Type u_1) →
[inst_1 : CategoryTheory.Category.{v_1, u_1} D] →
CategoryTheory.Functor C D →
CategoryTheory.Functor (CategoryTheory.CosimplicialObject.Augmented C)
(CategoryTheory.CosimplicialObject.Augmented D)Functor composition induces a functor on augmented cosimplicial objects.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Iso.invproof · cited by 6,514
- SimplexCategoryproof · cited by 2,204
- CategoryTheory.CommaMorphism.leftproof · cited by 526
- CategoryTheory.Comma.homproof · cited by 490
- CategoryTheory.Functor.whiskerRightproof · cited by 467
- CategoryTheory.CommaMorphism.rightproof · cited by 391
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.CosimplicialObject.Augmented.whiskeringproof · cited by 3
- CategoryTheory.CosimplicialObject.Augmented.whiskering_map_app_leftstatement · cited by 0
- CategoryTheory.CosimplicialObject.Augmented.whiskering_map_app_rightstatement · cited by 0
- CategoryTheory.CosimplicialObject.Augmented.whiskering_objstatement · cited by 0