Theorems · Theorem · category theory

HomotopicalAlgebra.FibrantBrownFactorization.i_r

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : HomotopicalAlgebra.ModelCategory C] {X Y : C}
  {f : X ⟶ Y} (self : HomotopicalAlgebra.FibrantBrownFactorization f),
  CategoryTheory.CategoryStruct.comp self.i self.r = CategoryTheory.CategoryStruct.id X

Defined in

Mathlib.AlgebraicTopology.ModelCategory.BrownLemma

Cited by

2 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryHomotopicalAlgebra.ModelCategory