Theorems · Definition · algebraic geometry

AlgebraicGeometry.GeometricallyIrreducible.casesOn

{X Y : AlgebraicGeometry.Scheme} →
  {f : X ⟶ Y} →
    {motive : AlgebraicGeometry.GeometricallyIrreducible f → Sort u} →
      (t : AlgebraicGeometry.GeometricallyIrreducible f) →
        ((geometrically_irreducibleSpace : AlgebraicGeometry.geometrically (fun x => IrreducibleSpace ↥x) f) →
            motive ⋯) →
          motive t

Defined in: Mathlib.AlgebraicGeometry.Geometrically.Irreducible
Cited by: 1 results in Mathlib
Foundations: Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
IrreducibleSpacestatement and proof · cited by 40
AlgebraicGeometry.geometricallystatement and proof · cited by 26
AlgebraicGeometry.GeometricallyIrreduciblestatement and proof · cited by 12

Cited by1

Results whose statement or proof uses this declaration.

AlgebraicGeometry.geometricallyIrreducible_iffproof · cited by 1