Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.basicOpen_of_isUnit
∀ (X : AlgebraicGeometry.Scheme) {U : X.Opens} {f : ↑(X.presheaf.obj (Opposite.op U))}, IsUnit f → X.basicOpen f = U- Defined in
- Mathlib.AlgebraicGeometry.Scheme
- Cited by
- 3 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.
Cites17
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
- Oppositestatement · cited by 8,081
- TopCat.carrierstatement · 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 · 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
- IsUnitstatement and proof · cited by 1,602
- AlgebraicGeometry.Scheme.Opensstatement and proof · cited by 1,149
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsAffineOpen.basicOpen_basicOpen_is_basicOpenproof · cited by 2
- AlgebraicGeometry.Scheme.zeroLocus_univproof · cited by 1
- AlgebraicGeometry.Scheme.basicOpen_oneproof · cited by 0