Theorems · Theorem · algebraic topology

SSet.PtSimplex.comp_map_eq_const_assoc

∀ {X : SSet} {n : ℕ} {x : X.obj (Opposite.op { len := 0 })} (s : X.PtSimplex n x) {Y : SSet}
  (φ : Y ⟶ SSet.stdSimplex.obj { len := n }) [Y.HasDimensionLT n] {Z : SSet} (h : X ⟶ Z),
  CategoryTheory.CategoryStruct.comp φ (CategoryTheory.CategoryStruct.comp s.map h) =
    CategoryTheory.CategoryStruct.comp (SSet.const x) h

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.KanComplex.MulStruct

Cited by

0 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SSet.HasDimensionLT