Theorems · Theorem · algebraic geometry
AlgebraicGeometry.GeometricallyConnected.geometrically_connectedSpace
∀ {X Y : AlgebraicGeometry.Scheme} {f : X ⟶ Y} [self : AlgebraicGeometry.GeometricallyConnected f],
AlgebraicGeometry.geometrically (fun x => ConnectedSpace ↥x) f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- 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
- ConnectedSpacestatement · cited by 37
- AlgebraicGeometry.geometricallystatement · cited by 26
- AlgebraicGeometry.GeometricallyConnectedstatement and proof · cited by 10
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