Theorems · Definition · algebraic geometry
WeierstrassCurve.Jacobian.negDblY
{R : Type r} → [CommRing R] → WeierstrassCurve.Jacobian R → (Fin 3 → R) → RThe Y-coordinate of a representative of -(2 • P) for a Jacobian point representative P on
a Weierstrass curve.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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.
- CommRingstatement and proof · cited by 17,173
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- WeierstrassCurve.Jacobian.negYproof · cited by 56
- WeierstrassCurve.Jacobian.dblUproof · cited by 19
- WeierstrassCurve.Jacobian.dblXproof · cited by 18
Cited by12
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.dblYproof · cited by 11
- WeierstrassCurve.Jacobian.map_dblYproof · cited by 2
- WeierstrassCurve.Jacobian.map_negDblYstatement · cited by 2
- WeierstrassCurve.Jacobian.negDblY_of_Y_eqstatement · cited by 1
- WeierstrassCurve.Jacobian.negDblY_of_Z_eq_zerostatement · cited by 1
- WeierstrassCurve.Jacobian.negDblY_of_Z_ne_zerostatement · cited by 1
- WeierstrassCurve.Jacobian.negDblY_smulstatement · cited by 1
- WeierstrassCurve.Jacobian.dblY_of_Y_eqproof · cited by 1
- WeierstrassCurve.Jacobian.dblY_of_Z_eq_zeroproof · cited by 1
- WeierstrassCurve.Jacobian.dblY_of_Z_ne_zeroproof · cited by 1
- WeierstrassCurve.Jacobian.dblY_smulproof · cited by 1
- WeierstrassCurve.Jacobian.baseChange_negDblYstatement and proof · cited by 0