Theorems · Definition · algebraic topology

SSet.Truncated.HomotopyCategory.BinaryProduct.idProdMapHomotopyCategoryCompInverseIso

(X : SSet.Truncated 2) →
  {Y Y' : SSet.Truncated 2} →
    (g : Y ⟶ Y') →
      ((CategoryTheory.Functor.id X.HomotopyCategory).prod (SSet.Truncated.mapHomotopyCategory g)).comp
          (SSet.Truncated.HomotopyCategory.BinaryProduct.inverse X Y') ≅
        (SSet.Truncated.HomotopyCategory.BinaryProduct.inverse X Y).comp
          (SSet.Truncated.mapHomotopyCategory (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X g))

The naturality of HomotopyCategory.BinaryProduct.inverse with respect to the second variable.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.HoFunctorMonoidal

Cited by

1 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound