Theorems · Theorem · category theory
CategoryTheory.GrothendieckTopology.over_map_coverPreserving
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C) {X Y : C}
(f : X ⟶ Y), CategoryTheory.CoverPreserving (J.over X) (J.over Y) (CategoryTheory.Over.map f)- Defined in
- Mathlib.CategoryTheory.Sites.Over
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites17
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.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Overstatement and proof · cited by 935
- CategoryTheory.Sieveproof · cited by 552
- CategoryTheory.Over.leftproof · cited by 541
- OrderIso.symmproof · cited by 475
- CategoryTheory.GrothendieckTopology.overstatement and proof · cited by 115
- CategoryTheory.Over.mapstatement and proof · cited by 97
- OrderIso.apply_symm_applyproof · cited by 45
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