Theorems · Theorem · category theory

CategoryTheory.Functor.induced_induced_le

∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] {F : CategoryTheory.Functor C D}
  (G : CategoryTheory.Functor D E) (J : CategoryTheory.GrothendieckTopology E),
  F.inducedTopology (G.inducedTopology J) ≤ (F.comp G).inducedTopology J

Defined in

Mathlib.CategoryTheory.Sites.InducedTopology

Cited by

0 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category