Theorems · Theorem · category theory

HomotopicalAlgebra.CofibrantObject.congr_simp

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : HomotopicalAlgebra.CategoryWithCofibrations C]
  [inst_2 : CategoryTheory.Limits.HasInitial C],
  HomotopicalAlgebra.CofibrantObject C = HomotopicalAlgebra.CofibrantObject C

Defined in: Mathlib.AlgebraicTopology.ModelCategory.CofibrantObjectHomotopy
Cited by: 0 results in Mathlib
Foundations: Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category HomotopicalAlgebra.CategoryWithCofibrations CategoryTheory.Limits.HasInitial

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Limits.HasInitialstatement and proof · cited by 185
HomotopicalAlgebra.CategoryWithCofibrationsstatement and proof · cited by 46
HomotopicalAlgebra.CofibrantObjectstatement and proof · cited by 35

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