Theorems · Theorem · category theory
HomotopicalAlgebra.Cylinder.exists_very_good
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : HomotopicalAlgebra.ModelCategory C] (A : C),
∃ P, P.IsVeryGood- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CategoryTheory.Limits.pairstatement · cited by 536
- CategoryTheory.Limits.coprodproof · cited by 252
- HomotopicalAlgebra.ModelCategorystatement and proof · cited by 141
- HomotopicalAlgebra.cofibrationsproof · cited by 37
- HomotopicalAlgebra.Cylinderstatement · cited by 31
- HomotopicalAlgebra.trivialFibrationsproof · cited by 30
- CategoryTheory.MorphismProperty.factorizationDataproof · cited by 15
- CategoryTheory.Limits.codiagproof · cited by 13
- HomotopicalAlgebra.Cylinder.ofFactorizationDataproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.RightHomotopyRel.leftHomotopyRelproof · cited by 2
- HomotopicalAlgebra.LeftHomotopyRel.precompproof · cited by 0