Theorems · Theorem · category theory

CategoryTheory.Grothendieck.pre_map_base

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u₁} [inst_1 : CategoryTheory.Category.{v₁, u₁} D]
  (F : CategoryTheory.Functor C CategoryTheory.Cat) (G : CategoryTheory.Functor D C)
  {X Y : CategoryTheory.Grothendieck (G.comp F)} (f : X ⟶ Y),
  ((CategoryTheory.Grothendieck.pre F G).map f).base = G.map f.base

Defined in

Mathlib.CategoryTheory.Grothendieck

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category