Theorems · Theorem · algebraic topology

SSet.Truncated.Edge.map_associator_hom

∀ {X Y Z : SSet.Truncated 2}
  {x x' : X.obj (Opposite.op { obj := { len := 0 }, property := SSet.Truncated.Edge.tensor._proof_1 })}
  (e₁ : SSet.Truncated.Edge x x')
  {y y' : Y.obj (Opposite.op { obj := { len := 0 }, property := SSet.Truncated.Edge.tensor._proof_1 })}
  (e₂ : SSet.Truncated.Edge y y')
  {z z' : Z.obj (Opposite.op { obj := { len := 0 }, property := SSet.Truncated.Edge.tensor._proof_1 })}
  (e₃ : SSet.Truncated.Edge z z'),
  ((e₁.tensor e₂).tensor e₃).map (CategoryTheory.MonoidalCategoryStruct.associator X Y Z).hom = e₁.tensor (e₂.tensor e₃)

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.HoFunctorMonoidal

Cited by

0 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound