Theorems · Definition · category theory

CategoryTheory.Grothendieck.structuredArrowToStructuredArrowPre

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (F : CategoryTheory.Functor D CategoryTheory.Cat) →
          (G : CategoryTheory.Functor C D) →
            (d : D) →
              (f : ↑(F.obj d)) →
                CategoryTheory.StructuredArrow d G ⥤q
                  CategoryTheory.StructuredArrow { base := d, fiber := f } (CategoryTheory.Grothendieck.pre F G)

A prefunctor mapping structured arrows on G to structured arrows on pre F G with their action on fibers being the identity.

Defined in

Mathlib.CategoryTheory.Limits.Final

Cited by

0 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category