Theorems · Theorem · algebraic topology

SSet.Truncated.Edge.map_tensorHom

∀ {X Y X' Y' : 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') (f : X ⟶ X') (g : Y ⟶ Y'),
  (e₁.tensor e₂).map (CategoryTheory.MonoidalCategoryStruct.tensorHom f g) = (e₁.map f).tensor (e₂.map g)

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.HoFunctorMonoidal

Cited by

0 results in Mathlib

Foundations

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