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Theorems · Definition · algebraic geometry

WeierstrassCurve.Projective.Point.casesOn

{R : Type r} →
  [inst : CommRing R] →
    {W' : WeierstrassCurve.Projective R} →
      {motive : W'.Point → Sort u} →
        (t : W'.Point) →
          ({point : WeierstrassCurve.Projective.PointClass R} →
              (nonsingular : W'.NonsingularLift point) → motive { point := point, nonsingular := nonsingular }) →
            motive t
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Point
Cited by
2 results in Mathlib
Foundations
Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

WeierstrassCurve.Projective.Point.noConfusion · cited by 0Point.noConfusionWeierstrassCurve.Projective.Point.noConfusionType · cited by 0Point.noConfusionTypeWeierstrassCurve.Projective.Point.toAffineLift_add · cited by 0Point.toAffineLift_addWeierstrassCurve.Projective.Point.toAffineLift_neg · cited by 0Point.toAffineLift_negCommRing · cited by 17173CommRingWeierstrassCurve.Projective · cited by 244WeierstrassCurve.Projecti…WeierstrassCurve.Projective.Point · cited by 21Projective.PointWeierstrassCurve.Projective.PointClass · cited by 21Projective.PointClassWeierstrassCurve.Projective.NonsingularLift · cited by 21Projective.NonsingularLiftPoint.casesOnCITED BYCITES

Cites5

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Cited by4

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