Theorems · Theorem · algebraic topology

SSet.N.stdSimplex_map_monoOfLE_yonedaEquiv_symm_simplex_assoc

∀ {X : SSet} [inst : X.Nonsingular] {x y : X.N} (h : x ≤ y) {Z : SSet} (h_1 : X ⟶ Z),
  CategoryTheory.CategoryStruct.comp (SSet.stdSimplex.map (SSet.N.monoOfLE h))
      (CategoryTheory.CategoryStruct.comp (SSet.yonedaEquiv.symm y.simplex) h_1) =
    CategoryTheory.CategoryStruct.comp (SSet.yonedaEquiv.symm x.simplex) h_1

Defined in: Mathlib.AlgebraicTopology.SimplicialSet.Nonsingular
Cited by: 0 results in Mathlib
Foundations: Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: SSet.Nonsingular

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