Theorems · Definition · algebraic geometry
WeierstrassCurve.Jacobian.negY
{R : Type r} → [CommRing R] → WeierstrassCurve.Jacobian R → (Fin 3 → R) → RThe Y-coordinate of a representative of -P for a Jacobian point representative P on a
Weierstrass curve.
- Cited by
- 56 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.
Cites4
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.Jacobianstatement and proof · cited by 232
- WeierstrassCurve.a₃proof · cited by 210
Cited by62
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.dblZproof · cited by 26
- WeierstrassCurve.Jacobian.negproof · cited by 19
- WeierstrassCurve.Jacobian.addYproof · cited by 18
- WeierstrassCurve.Jacobian.dblXproof · cited by 18
- WeierstrassCurve.Jacobian.dblYproof · cited by 11
- WeierstrassCurve.Jacobian.negDblYproof · cited by 11
- WeierstrassCurve.Jacobian.negY_eqstatement · cited by 6
- WeierstrassCurve.Jacobian.Y_eq_negY_of_Y_eqstatement and proof · cited by 4
- WeierstrassCurve.Jacobian.Y_sub_Y_mul_Y_sub_negYstatement · cited by 4
- WeierstrassCurve.Jacobian.isUnit_dblZ_of_Y_ne'statement and proof · cited by 4
- WeierstrassCurve.Jacobian.map_dblXproof · cited by 4
- WeierstrassCurve.Jacobian.map_negYstatement · cited by 4