Theorems · Theorem · category theory

CategoryTheory.ChosenPullbacksAlong.Over.rightUnitor_inv_left_snd_assoc

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.ChosenPullbacks C] {X : C}
  (Y : CategoryTheory.Over X) {Z : C} (h : X ⟶ Z),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Over.Hom.left (CategoryTheory.MonoidalCategoryStruct.rightUnitor Y).inv)
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.ChosenPullbacksAlong.snd Y.hom (CategoryTheory.CategoryStruct.id X)) h) =
    CategoryTheory.CategoryStruct.comp Y.hom h

Defined in

Mathlib.CategoryTheory.LocallyCartesianClosed.Over

Cited by

0 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.ChosenPullbacks