Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Opens.isDominant_homOfLE
∀ {X : AlgebraicGeometry.Scheme} {U V : X.Opens},
Dense ↑U → ∀ (hU' : U ≤ V), AlgebraicGeometry.IsDominant (X.homOfLE hU')- Cited by
- 2 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.
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- SetLike.coestatement and proof · cited by 8,199
- 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
- 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
- AlgebraicGeometry.Scheme.Opens.toSchemestatement · cited by 433
- Densestatement and proof · cited by 359
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.PartialMap.equiv_iff_of_isSeparated_of_leproof · cited by 2