Theorems · Theorem · category theory
CategoryTheory.compatiblePreservingOfFlat
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(K : CategoryTheory.GrothendieckTopology D) (G : CategoryTheory.Functor C D) [CategoryTheory.RepresentablyFlat G],
CategoryTheory.CompatiblePreserving K G- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites53
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.isContinuous_iff_coverPreservingproof · cited by 1
- compatiblePreserving_opens_mapproof · cited by 0
- CategoryTheory.Adjunction.isContinuous_of_isCocontinuousproof · cited by 0