Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.monomorphisms.infer_property
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y) [hf : CategoryTheory.Mono f],
CategoryTheory.MorphismProperty.monomorphisms C f- Cited by
- 6 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.MorphismProperty.monomorphismsstatement · cited by 39
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.monoModSerre_of_monoproof · cited by 4
- CategoryTheory.ObjectProperty.SerreClassLocalization.mono_iffproof · cited by 1
- HomologicalComplex.mono_homologyMap_of_mono_of_not_relproof · cited by 1
- SSet.modelCategoryQuillen.I_le_monomorphismsproof · cited by 1
- SSet.modelCategoryQuillen.J_le_monomorphismsproof · cited by 1
- AlgebraicGeometry.IsOpenImmersion.le_monomorphismsproof · cited by 0