Theorems · Theorem · category theory

CategoryTheory.IsPullback.isoPullback_hom_fst

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P X Y Z : C} {fst : P ⟶ X} {snd : P ⟶ Y} {f : X ⟶ Z}
  {g : Y ⟶ Z} (h : CategoryTheory.IsPullback fst snd f g) [inst_1 : CategoryTheory.Limits.HasPullback f g],
  CategoryTheory.CategoryStruct.comp h.isoPullback.hom (CategoryTheory.Limits.pullback.fst f g) = fst

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.Defs

Cited by

10 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullback