Theorems · Definition · algebraic geometry
WeierstrassCurve.Projective.negDblY
{R : Type r} → [CommRing R] → WeierstrassCurve.Projective R → (Fin 3 → R) → RThe Y-coordinate of a representative of -(2 • P) for a projective point representative P
on a Weierstrass curve.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- WeierstrassCurve.a₁proof · cited by 272
- WeierstrassCurve.Projectivestatement and proof · cited by 244
- WeierstrassCurve.a₂proof · cited by 216
- WeierstrassCurve.a₃proof · cited by 210
- WeierstrassCurve.a₄proof · cited by 187
- WeierstrassCurve.a₆proof · cited by 153
Cited by15
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.dblYproof · cited by 13
- WeierstrassCurve.Projective.negDblY_eq'statement · cited by 2
- WeierstrassCurve.Projective.negDblY_of_Y_eq'statement · cited by 2
- WeierstrassCurve.Projective.map_dblYproof · cited by 2
- WeierstrassCurve.Projective.map_negDblYstatement · cited by 2
- WeierstrassCurve.Projective.dblY_of_Z_eq_zeroproof · cited by 1
- WeierstrassCurve.Projective.dblY_of_Y_eq'proof · cited by 1
- WeierstrassCurve.Projective.dblY_of_Z_ne_zeroproof · cited by 1
- WeierstrassCurve.Projective.dblY_smulproof · cited by 1
- WeierstrassCurve.Projective.negDblY_eqstatement and proof · cited by 1
- WeierstrassCurve.Projective.negDblY_of_Z_eq_zerostatement · cited by 1
- WeierstrassCurve.Projective.negDblY_of_Z_ne_zerostatement · cited by 1