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AlgebraicGeometry.SurjectiveOnStalks.surj_on_stalks

Deprecated since 2026-01-20Use AlgebraicGeometry.Scheme.Hom.stalkMap_surjective instead.

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [self : AlgebraicGeometry.SurjectiveOnStalks f] (x : ↥X),
  Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom (AlgebraicGeometry.Scheme.Hom.stalkMap f x))

Alias of AlgebraicGeometry.Scheme.Hom.stalkMap_surjective. Alias of AlgebraicGeometry.SurjectiveOnStalks.stalkMap_surjective.

Defined in
Mathlib.AlgebraicGeometry.Morphisms.SurjectiveOnStalks
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0 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.SurjectiveOnStalks

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