Theorems · Theorem · algebraic topology
SSet.stdSimplex.isoNerve_hom_app_apply
∀ {n d : ℕ} (s : (SSet.stdSimplex.obj { len := n }).obj (Opposite.op { len := d })) (i : Fin (d + 1)),
((CategoryTheory.ConcreteCategory.hom ((SSet.stdSimplex.isoNerve.{u} n).hom.app (Opposite.op { len := d }))) s).obj
i =
{ down := s i }- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- Opposite.unopstatement · cited by 2,231
- SimplexCategorystatement · cited by 2,204
- TypeCat.Funstatement · cited by 1,307
- SSetstatement · cited by 1,283
- SimplexCategory.lenstatement · cited by 542
- SSet.stdSimplexstatement and proof · cited by 499
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