Theorems · Theorem · category theory
CategoryTheory.Subobject.factors_of_factors_right
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y Z : C} {P : CategoryTheory.Subobject Z} (f : X ⟶ Y)
{g : Y ⟶ Z}, P.Factors g → P.Factors (CategoryTheory.CategoryStruct.comp f g)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- CategoryTheory.Over.leftproof · cited by 541
- CategoryTheory.Subobjectstatement and proof · cited by 385
- Quotient.mk''proof · cited by 132
- CategoryTheory.MonoOverproof · cited by 115
- CategoryTheory.Subobject.Factorsstatement and proof · cited by 56
- CategoryTheory.MonoOver.arrowproof · cited by 41
- Quotient.ind'proof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Subobject.finset_inf_arrow_factorsproof · cited by 2
- CategoryTheory.Subobject.factorThru_rightstatement and proof · cited by 1