Theorems · Theorem · category theory

CategoryTheory.Limits.inr_inr_pushoutRightPushoutInlIso_hom

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {W X Y Z : C} (f : X ⟶ Y) (g : X ⟶ Z) (f' : Y ⟶ W)
  [inst_1 : CategoryTheory.Limits.HasPushout f g]
  [inst_2 : CategoryTheory.Limits.HasPushout f' (CategoryTheory.Limits.pushout.inl f g)],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.pushout.inr f g)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.pushout.inr f' (CategoryTheory.Limits.pushout.inl f g))
        (CategoryTheory.Limits.pushoutRightPushoutInlIso f g f').hom) =
    CategoryTheory.Limits.pushout.inr (CategoryTheory.CategoryStruct.comp f f') g

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.Pasting

Cited by

1 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPushoutCategoryTheory.Limits.HasPushout