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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.UniversallyInjective.universally_injective

∀ {X Y : AlgebraicGeometry.Scheme} {f : X ⟶ Y} [self : AlgebraicGeometry.UniversallyInjective f],
  (AlgebraicGeometry.topologically fun {α β} [TopologicalSpace α] [TopologicalSpace β] x =>
        Function.Injective x).universally
    f
Defined in
Mathlib.AlgebraicGeometry.Morphisms.UniversallyInjective
Cited by
2 results in Mathlib
Foundations
Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.UniversallyInjective
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Scheme.Hom.injective · cited by 4Hom.injectiveAlgebraicGeometry.universallyInjective_eq_diagonal · cited by 2AlgebraicGeometry.univers…Quiver.Hom · cited by 32603Quiver.HomTopologicalSpace · cited by 24529TopologicalSpaceAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.topologically · cited by 35AlgebraicGeometry.topolog…CategoryTheory.MorphismProperty.universally · cited by 30MorphismProperty.universa…AlgebraicGeometry.UniversallyInjective · cited by 8AlgebraicGeometry.Univers…UniversallyInjective.universa…CITED BYCITES

Cites6

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Cited by2

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