Theorems · Theorem · category theory
CategoryTheory.Presieve.galoisConnection_map_functorPullback
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(F : CategoryTheory.Functor C D) (X : C),
GaloisConnection (CategoryTheory.Presieve.map F) (CategoryTheory.Presieve.functorPullback F)- Defined in
- Mathlib.CategoryTheory.Sites.Sieves
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Presievestatement and proof · cited by 449
- GaloisConnectionstatement · cited by 253
- CategoryTheory.Presieve.mapstatement · cited by 38
- CategoryTheory.Presieve.functorPullbackstatement · cited by 23
- CategoryTheory.Presieve.map_le_iff_le_functorPullbackproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Presieve.map_functorPullback_mapproof · cited by 2
- CategoryTheory.Presieve.map_botproof · cited by 1
- CategoryTheory.Presieve.map_functorPullbackproof · cited by 1
- CategoryTheory.Presieve.functorPullback_map_functorPullbackproof · cited by 1
- CategoryTheory.Presieve.functorPullback_monotoneproof · cited by 1
- CategoryTheory.Presieve.le_functorPullback_mapproof · cited by 0
- CategoryTheory.Presieve.map_monotoneproof · cited by 0