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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.Point.toAffine_of_singular

∀ {F : Type u} [inst : Field F] {W : WeierstrassCurve.Projective F} {P : Fin 3 → F},
  ¬W.Nonsingular P → WeierstrassCurve.Projective.Point.toAffine W P = 0
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Point
Cited by
1 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Field
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Around this declaration

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

WeierstrassCurve.Projective.Point.toAffine_smul · cited by 3Point.toAffine_smulField · cited by 7404FieldWeierstrassCurve.Projective · cited by 244WeierstrassCurve.Projecti…WeierstrassCurve.Affine.Point · cited by 99Affine.PointWeierstrassCurve.Projective.toAffine · cited by 47Projective.toAffineWeierstrassCurve.Projective.Nonsingular · cited by 37Projective.NonsingularWeierstrassCurve.Projective.Point.toAffine · cited by 10Point.toAffinePoint.toAffine_of_singularCITED BYCITES

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Cited by1

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