Theorems · Theorem · algebraic topology
SSet.modelCategoryQuillen.cofibration_iff
∀ {X Y : SSet} (f : X ⟶ Y), HomotopicalAlgebra.Cofibration f ↔ CategoryTheory.Mono f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- CategoryTheory.Monostatement and proof · cited by 893
- HomotopicalAlgebra.Cofibrationstatement · cited by 27
- HomotopicalAlgebra.cofibration_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- SSet.modelCategoryQuillen.cofibration_of_monoproof · cited by 0