Theorems · Theorem · category theory
CategoryTheory.Subobject.mk_factors_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y Z : C} (f : Y ⟶ X) [inst_1 : CategoryTheory.Mono f]
(g : Z ⟶ X), (CategoryTheory.Subobject.mk f).Factors g ↔ (CategoryTheory.MonoOver.mk f).Factors g- 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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.Subobject.mkstatement · cited by 109
- CategoryTheory.Subobject.Factorsstatement · cited by 56
- CategoryTheory.MonoOver.mkstatement · cited by 33
- CategoryTheory.MonoOver.Factorsstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.isStrongGenerator_iffproof · cited by 5