Theorems · Theorem · category theory

CategoryTheory.CostructuredArrow.grothendieckProj_map

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (L : CategoryTheory.Functor C D) {X Y : CategoryTheory.Grothendieck (CategoryTheory.CostructuredArrow.functor L)}
  (f : X ⟶ Y), (CategoryTheory.CostructuredArrow.grothendieckProj L).map f = f.fiber.left

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Functor

Cited by

0 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category