Theorems · Theorem · group theory
classifyingSpaceUniversalCover_map
∀ (G : Type u) [inst : Monoid G] {X Y : SimplexCategoryᵒᵖ} (f : X ⟶ Y),
(classifyingSpaceUniversalCover G).map f =
{ hom := TypeCat.ofHom fun x => x ∘ ⇑(SimplexCategory.Hom.toOrderHom f.unop), comm := ⋯ }- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- Monoidstatement and proof · cited by 3,887
- Opposite.unopstatement · cited by 2,231
- SimplexCategorystatement and proof · cited by 2,204
- OrderHomstatement · cited by 934
- Quiver.Hom.unopstatement · cited by 903
- SimplexCategory.lenstatement · cited by 542
- TypeCat.ofHomstatement · cited by 389
- Actionstatement · cited by 206
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