Theorems · Theorem · category theory
CategoryTheory.Subobject.le_of_factors
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {Y : C} {P Q : CategoryTheory.Subobject Y},
Q.Factors P.arrow → P ≤ Q- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 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.
Cites9
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.Functor.objstatement · cited by 19,642
- CategoryTheory.Subobjectstatement and proof · cited by 385
- CategoryTheory.Subobject.underlyingstatement · cited by 211
- CategoryTheory.Subobject.arrowstatement and proof · cited by 175
- CategoryTheory.Subobject.Factorsstatement and proof · cited by 56
- CategoryTheory.Subobject.factorThruproof · cited by 35
- CategoryTheory.Subobject.factorThru_arrowproof · cited by 31
- CategoryTheory.Subobject.le_of_commproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Subobject.homOfFactorsproof · cited by 1