Theorems · Theorem · category theory
CategoryTheory.Arrow.mapAugmentedCechConerve_right
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {f g : CategoryTheory.Arrow C}
[inst_1 : ∀ (n : ℕ), CategoryTheory.Limits.HasWidePushout f.left (fun x => f.right) fun x => f.hom]
[inst_2 : ∀ (n : ℕ), CategoryTheory.Limits.HasWidePushout g.left (fun x => g.right) fun x => g.hom] (F : f ⟶ g),
(CategoryTheory.Arrow.mapAugmentedCechConerve F).right = CategoryTheory.Arrow.mapCechConerve F- Defined in
- Mathlib.AlgebraicTopology.CechNerve
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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.Functor.idstatement · cited by 3,333
- CategoryTheory.Arrowstatement and proof · cited by 713
- CategoryTheory.Arrow.leftstatement and proof · cited by 426
- CategoryTheory.Arrow.rightstatement and proof · cited by 423
- CategoryTheory.CommaMorphism.rightstatement and proof · cited by 391
- CategoryTheory.Arrow.homstatement and proof · cited by 335
- CategoryTheory.CosimplicialObjectstatement · cited by 125
- CategoryTheory.CosimplicialObject.conststatement · cited by 55
- CategoryTheory.Limits.HasWidePushoutstatement and proof · cited by 33
- CategoryTheory.Arrow.augmentedCechConervestatement · cited by 13
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