Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.homOfLE_rfl
∀ (X : AlgebraicGeometry.Scheme) (U : X.Opens), X.homOfLE ⋯ = CategoryTheory.CategoryStruct.id ↑U
- Defined in
- Mathlib.AlgebraicGeometry.Restrict
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- CategoryTheory.Category.id_compproof · cited by 1,998
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
- AlgebraicGeometry.Scheme.Opensstatement and proof · cited by 1,149
Cited by6
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.PartialMap.equiv.reflproof · cited by 2
- AlgebraicGeometry.Scheme.PartialMap.restrict_equivproof · cited by 1
- AlgebraicGeometry.Scheme.Hom.resLE_eq_morphismRestrictproof · cited by 1
- AlgebraicGeometry.Scheme.PartialMap.restrict_idproof · cited by 0
- AlgebraicGeometry.Scheme.PartialMap.restrict_id_homproof · cited by 0