Theorems · Theorem · category theory

CategoryTheory.Grothendieck.pre_obj_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 : CategoryTheory.Grothendieck (G.comp F)), ((CategoryTheory.Grothendieck.pre F G).obj X).base = G.obj X.base

Defined in

Mathlib.CategoryTheory.Grothendieck

Cited by

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Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category