Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Hom.app_injective

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.IsSchemeTheoreticallyDominant f]
  [AlgebraicGeometry.QuasiCompact f] (U : Y.Opens),
  Function.Injective ⇑(CategoryTheory.ConcreteCategory.hom (AlgebraicGeometry.Scheme.Hom.app f U))

Defined in

Mathlib.AlgebraicGeometry.Morphisms.SchemeTheoreticallyDominant

Cited by

1 results in Mathlib

Foundations

Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AlgebraicGeometry.IsSchemeTheoreticallyDominantAlgebraicGeometry.QuasiCompact