CategoryTheory.Subobject.homOfFactors

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {Y : C} → {P Q : CategoryTheory.Subobject Y} → Q.Factors P.arrow → (P ⟶ Q)

Given two subobjects P Q : Subobject Y, if P factors through Q, then there is a morphism of subobjects from P to Q.

Defined in: Mathlib.CategoryTheory.Subobject.FactorThru
Cited by: 1 results in Mathlib
Foundations: Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category

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