Theorems · Theorem · category theory

CategoryTheory.Under.mapPushoutAdj_unit_app

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y)
  [inst_1 : CategoryTheory.Limits.HasPushoutsAlong f] (X_1 : CategoryTheory.Under X),
  (CategoryTheory.Under.mapPushoutAdj f).unit.app X_1 =
    CategoryTheory.Under.homMk (CategoryTheory.Limits.pushout.inl X_1.hom f) ⋯

Defined in

Mathlib.CategoryTheory.Comma.Over.Pullback

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPushoutsAlong