Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.PartialMap.isDominant_hom_of_isDominant_restrict_hom
∀ {X Y : AlgebraicGeometry.Scheme} (f : X.PartialMap Y) (U : X.Opens) (hU : Dense ↑U) (hU' : U ≤ f.domain)
[H : AlgebraicGeometry.IsDominant (f.restrict U hU hU').hom], AlgebraicGeometry.IsDominant f.homIf a restriction of f is dominant, then f is dominant.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsDominant
Around this declaration
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AlgebraicGeometry.Scheme.Opensstatement and proof · cited by 1,149
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- Densestatement and proof · cited by 359
- AlgebraicGeometry.Scheme.homOfLEproof · cited by 103
Cited by1
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