Theorems · Theorem · algebraic topology

SSet.stdSimplex.face_obj

∀ {n : ℕ} (S : Finset (Fin (n + 1))) (U : SimplexCategoryᵒᵖ),
  (SSet.stdSimplex.face S).obj U =
    {f | Finset.image ⇑(SimplexCategory.Hom.toOrderHom (SSet.stdSimplex.objEquiv f)) ⊤ ⊆ S}

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex

Cited by

5 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound