Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.subcanonical_of_full_of_faithful

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v', u_1} D]
  (F : CategoryTheory.Functor C D) (J : CategoryTheory.GrothendieckTopology C)
  (K : CategoryTheory.GrothendieckTopology D) [F.Full] [F.Faithful] [F.IsContinuous J K] [K.Subcanonical],
  J.Subcanonical

Defined in: Mathlib.CategoryTheory.Sites.Subcanonical
Cited by: 0 results in Mathlib
Foundations: Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Functor.Full CategoryTheory.Functor.Faithful CategoryTheory.Functor.IsContinuous CategoryTheory.GrothendieckTopology.Subcanonical

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites28

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coeproof · cited by 62,936
CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homproof · cited by 32,603
CategoryTheory.Functor.objproof · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Functor.mapproof · cited by 8,698
CategoryTheory.ConcreteCategory.homproof · cited by 4,022
Equiv.symmproof · cited by 3,681
Quiver.Hom.opproof · cited by 1,948
CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
CategoryTheory.Iso.symmproof · cited by 993
CategoryTheory.yonedaproof · cited by 351

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.