Theorems · Theorem · category theory

CategoryTheory.Over.mapPullbackAdj_counit_app

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y)
  [inst_1 : CategoryTheory.Limits.HasPullbacksAlong f] (Y_1 : CategoryTheory.Over Y),
  (CategoryTheory.Over.mapPullbackAdj f).counit.app Y_1 =
    CategoryTheory.Over.homMk (CategoryTheory.Limits.pullback.fst Y_1.hom f) ⋯

Defined in

Mathlib.CategoryTheory.Comma.Over.Pullback

Cited by

2 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacksAlong