Theorems · Theorem · category theory
CategoryTheory.GrothendieckTopology.over_map_compatiblePreserving
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C) {X Y : C}
(f : X ⟶ Y), CategoryTheory.CompatiblePreserving (J.over Y) (CategoryTheory.Over.map f)- Defined in
- Mathlib.CategoryTheory.Sites.Over
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites42
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.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorproof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositeproof · cited by 8,081
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
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