AlgebraicGeometry.Scheme.basicOpen_add_le

∀ (X : AlgebraicGeometry.Scheme) {U : X.Opens} (f g : ↑(X.presheaf.obj (Opposite.op U))),
  X.basicOpen (f + g) ≤ X.basicOpen f ⊔ X.basicOpen g

Defined in: Mathlib.AlgebraicGeometry.Scheme
Cited by: 1 results in Mathlib
Foundations: Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Functor.objstatement and proof · cited by 19,642
SetLike.coeproof · cited by 8,199
Oppositestatement · cited by 8,081
CategoryTheory.ConcreteCategory.homproof · cited by 4,022
TopCat.carrierstatement and proof · cited by 3,184
AlgebraicGeometry.Schemestatement and proof · cited by 2,540
CommRingCatstatement · cited by 2,333
TopologicalSpace.Opensstatement · cited by 2,040
AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734

Results whose statement or proof uses this declaration.