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Theorems · Theorem · algebraic topology

SSet.stdSimplex.isoNerve_inv_app_apply

∀ {n d : ℕ} (F : (CategoryTheory.nerve (ULift.{u, 0} (Fin (n + 1)))).obj (Opposite.op { len := d })) (i : Fin (d + 1)),
  ((CategoryTheory.ConcreteCategory.hom ((SSet.stdSimplex.isoNerve.{u} n).inv.app (Opposite.op { len := d }))) F) i =
    (F.obj i).down
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
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Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Functor.obj · cited by 19642Functor.objOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homOpposite.unop · cited by 2231Opposite.unopSimplexCategory · cited by 2204SimplexCategoryTypeCat.Fun · cited by 1307TypeCat.FunSSet · cited by 1283SSetSimplexCategory.len · cited by 542SimplexCategory.lenSSet.stdSimplex · cited by 499SSet.stdSimplexCategoryTheory.nerve · cited by 68CategoryTheory.nerveSSet.stdSimplex.isoNerve · cited by 3stdSimplex.isoNervestdSimplex.isoNerve_inv_app_a…CITED BYCITES

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