Theorems · Theorem · category theory

CategoryTheory.Subobject.isPullback_aux

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y : C} [inst_1 : CategoryTheory.Limits.HasPullbacks C]
  (f : X ⟶ Y) (y : CategoryTheory.Subobject Y),
  ∃ φ, CategoryTheory.IsPullback φ ((CategoryTheory.Subobject.pullback f).obj y).arrow y.arrow f

Defined in

Mathlib.CategoryTheory.Subobject.Basic

Cited by

1 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks