Theorems · Theorem · category theory

HomotopicalAlgebra.Cylinder.symm_i

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A : C}
  [inst_1 : HomotopicalAlgebra.CategoryWithWeakEquivalences C] (P : HomotopicalAlgebra.Cylinder A)
  [inst_2 : CategoryTheory.Limits.HasBinaryCoproducts C],
  P.symm.i = CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.coprod.braiding A A).hom P.i

Defined in

Mathlib.AlgebraicTopology.ModelCategory.Cylinder

Cited by

1 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryHomotopicalAlgebra.CategoryWithWeakEquivalencesCategoryTheory.Limits.HasBinaryCoproducts