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Theorems · Theorem · algebraic topology

SSet.Path.map_arrow

∀ {X Y : SSet} {n : ℕ} (f : X.Path n) (σ : X ⟶ Y) (i : Fin n),
  (f.map σ).arrow i = (CategoryTheory.ConcreteCategory.hom (σ.app (Opposite.op { len := 1 }))) (f.arrow i)
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.Path
Cited by
1 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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SSet.StrictSegal.spineToSimplex_map · cited by 0StrictSegal.spineToSimple…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homSimplexCategory · cited by 2204SimplexCategoryTypeCat.Fun · cited by 1307TypeCat.FunSSet · cited by 1283SSetSSet.Path · cited by 46SSet.PathSSet.Path.arrow · cited by 27Path.arrowSSet.Path.map · cited by 7Path.mapPath.map_arrowCITED BYCITES

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