Theorems · Definition · category theory

CategoryTheory.CostructuredArrow.grothendieckProj

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (L : CategoryTheory.Functor C D) →
          CategoryTheory.Functor (CategoryTheory.Grothendieck (CategoryTheory.CostructuredArrow.functor L)) C

The functor projecting out the domain of arrows from the Grothendieck construction on costructured arrows.

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Functor

Cited by

12 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category