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Theorems · Definition · algebraic geometry

AlgebraicGeometry.UniversallyOpen.casesOn

{X Y : AlgebraicGeometry.Scheme} →
  {f : X ⟶ Y} →
    {motive : AlgebraicGeometry.UniversallyOpen f → Sort u_1} →
      (t : AlgebraicGeometry.UniversallyOpen f) →
        ((universally_isOpenMap : (AlgebraicGeometry.topologically @IsOpenMap).universally f) → motive ⋯) → motive t
Defined in
Mathlib.AlgebraicGeometry.Morphisms.UniversallyOpen
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.universallyOpen_iff · cited by 1AlgebraicGeometry.univers…Quiver.Hom · cited by 32603Quiver.HomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeIsOpenMap · cited by 253IsOpenMapAlgebraicGeometry.topologically · cited by 35AlgebraicGeometry.topolog…CategoryTheory.MorphismProperty.universally · cited by 30MorphismProperty.universa…AlgebraicGeometry.UniversallyOpen · cited by 8AlgebraicGeometry.Univers…UniversallyOpen.casesOnCITED BYCITES

Cites6

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Cited by1

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