Theorems · Theorem · category theory
CategoryTheory.Equivalence.isDenseSubsite_functor_of_isCocontinuous
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (J : CategoryTheory.GrothendieckTopology C) {D : Type u₂}
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] (K : CategoryTheory.GrothendieckTopology D) (e : C ≌ D)
[e.functor.IsCocontinuous J K] [e.inverse.IsCocontinuous K J], CategoryTheory.Functor.IsDenseSubsite J K e.functor- Defined in
- Mathlib.CategoryTheory.Sites.Equivalence
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Category.comp_idproof · cited by 2,119
- le_reflproof · cited by 2,061
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Equivalence.isDenseSubsite_inverse_of_isCocontinuousproof · cited by 0