Theorems · Theorem · group theory
classifyingSpaceUniversalCover_obj
∀ (G : Type u) [inst : Monoid G] (n : SimplexCategoryᵒᵖ), (classifyingSpaceUniversalCover G).obj n = Action.ofMulAction G (Fin ((Opposite.unop n).len + 1) → G)
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- Foundations
- Depth 33 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- 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
- SimplexCategory.lenstatement · cited by 542
- Actionstatement · cited by 206
- Action.ofMulActionstatement · cited by 8
- classifyingSpaceUniversalCoverstatement and proof · cited by 4
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