Theorems · Theorem · category theory
CategoryTheory.simplicialToCosimplicialAugmented_map_right
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] {X Y : (CategoryTheory.SimplicialObject.Augmented C)ᵒᵖ}
(f : X ⟶ Y),
((CategoryTheory.simplicialToCosimplicialAugmented C).map f).right = CategoryTheory.NatTrans.rightOp f.unop.left- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites22
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.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.idstatement · cited by 3,333
- Opposite.unopstatement · cited by 2,231
- SimplexCategorystatement · cited by 2,204
- Quiver.Hom.unopstatement · cited by 903
- CategoryTheory.Comma.leftstatement · cited by 886
- CategoryTheory.SimplicialObjectstatement · cited by 548
- CategoryTheory.CommaMorphism.leftstatement · cited by 526
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