Theorems · Theorem · category theory
CategoryTheory.GrothendieckTopology.coverPreserving_overPullback
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C)
[inst_1 : CategoryTheory.Limits.HasPullbacks C] {X Y : C} (f : X ⟶ Y),
CategoryTheory.CoverPreserving (J.over Y) (J.over X) (CategoryTheory.Over.pullback f)- Defined in
- Mathlib.CategoryTheory.Sites.Over
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CategoryTheory.Overstatement and proof · cited by 935
- CategoryTheory.Limits.WalkingCospanstatement · cited by 496
- CategoryTheory.Limits.cospanstatement · cited by 467
- CategoryTheory.Limits.HasPullbacksstatement and proof · cited by 439
- CategoryTheory.GrothendieckTopology.overstatement and proof · cited by 115
- CategoryTheory.Over.pullbackstatement · cited by 53
- CategoryTheory.CoverPreservingstatement · cited by 32
- CategoryTheory.Over.mapPullbackAdjproof · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.