Theorems · Theorem · category theory

CategoryTheory.Limits.pullback_factors

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y W : C} (f : X ⟶ Y)
  [inst_1 : CategoryTheory.Limits.HasPullbacks C] (y : CategoryTheory.Subobject Y) (h : W ⟶ X),
  y.Factors (CategoryTheory.CategoryStruct.comp h f) → ((CategoryTheory.Subobject.pullback f).obj y).Factors h

Defined in

Mathlib.CategoryTheory.Subobject.Limits

Cited by

2 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks