Theorems · Theorem · category theory

CategoryTheory.Over.leftUnitor_inv_left_snd

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C] {X : C}
  (Y : CategoryTheory.Over X),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Over.Hom.left (CategoryTheory.MonoidalCategoryStruct.leftUnitor Y).inv)
      (CategoryTheory.Limits.pullback.snd (CategoryTheory.CategoryStruct.id X) Y.hom) =
    CategoryTheory.CategoryStruct.id Y.left

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Over

Cited by

1 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks