Theorems · Theorem · category theory

CategoryTheory.IsPushout.inr_isoPushout_inv

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {Z X Y P : C} {f : Z ⟶ X} {g : Z ⟶ Y} {inl : X ⟶ P}
  {inr : Y ⟶ P} (h : CategoryTheory.IsPushout f g inl inr) [inst_1 : CategoryTheory.Limits.HasPushout f g],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.pushout.inr f g) h.isoPushout.inv = inr

Defined in

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

Cited by

7 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPushout