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Theorems · Definition · algebraic geometry

AlgebraicGeometry.UniversallyInjective.casesOn

{X Y : AlgebraicGeometry.Scheme} →
  {f : X ⟶ Y} →
    {motive : AlgebraicGeometry.UniversallyInjective f → Sort u_1} →
      (t : AlgebraicGeometry.UniversallyInjective f) →
        ((universally_injective :
              (AlgebraicGeometry.topologically fun {α β} [TopologicalSpace α] [TopologicalSpace β] x =>
                    Function.Injective x).universally
                f) →
            motive ⋯) →
          motive t
Defined in
Mathlib.AlgebraicGeometry.Morphisms.UniversallyInjective
Cited by
1 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

AlgebraicGeometry.universallyInjective_iff · cited by 1AlgebraicGeometry.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.casesOnCITED BYCITES

Cites6

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Cited by1

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