Theorems · Definition · algebraic geometry
WeierstrassCurve.Projective.Point.toAffine
{F : Type u} → [inst : Field F] → (W : WeierstrassCurve.Projective F) → (Fin 3 → F) → W.toAffine.PointThe natural map from a nonsingular projective point representative on a Weierstrass curve to its corresponding nonsingular point in affine coordinates.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- WeierstrassCurve.Projectivestatement and proof · cited by 244
- WeierstrassCurve.Affine.Pointstatement · cited by 99
- WeierstrassCurve.Projective.toAffinestatement · cited by 47
- WeierstrassCurve.Projective.Nonsingularproof · cited by 37
Cited by11
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.Point.toAffineLiftproof · cited by 8
- WeierstrassCurve.Projective.Point.toAffine_of_Z_eq_zerostatement · cited by 5
- WeierstrassCurve.Projective.Point.toAffine_of_Z_ne_zerostatement · cited by 5
- WeierstrassCurve.Projective.Point.toAffine_smulstatement and proof · cited by 3
- WeierstrassCurve.Projective.Point.toAffine_zerostatement · cited by 3
- WeierstrassCurve.Projective.Point.toAffine_somestatement · cited by 2
- WeierstrassCurve.Projective.Point.toAffine_of_singularstatement · cited by 1
- WeierstrassCurve.Projective.Point.toAffine_addstatement and proof · cited by 1
- WeierstrassCurve.Projective.Point.toAffine_negstatement and proof · cited by 1
- WeierstrassCurve.Projective.Point.toAffineLift_eqstatement · cited by 0
- WeierstrassCurve.Projective.Point.toAffine_of_equivstatement · cited by 0