Theorems · Definition · algebraic geometry
WeierstrassCurve.Jacobian.dblXYZ
{R : Type r} → [CommRing R] → WeierstrassCurve.Jacobian R → (Fin 3 → R) → Fin 3 → RThe coordinates of a representative of 2 • P for a Jacobian point representative P on a
Weierstrass curve.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 99 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.
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
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- WeierstrassCurve.Jacobian.dblZproof · cited by 26
- WeierstrassCurve.Jacobian.dblXproof · cited by 18
- WeierstrassCurve.Jacobian.dblYproof · cited by 11
Cited by16
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.addproof · cited by 20
- WeierstrassCurve.Jacobian.add_of_equivstatement · cited by 6
- WeierstrassCurve.Jacobian.map_dblXYZstatement · cited by 2
- WeierstrassCurve.Jacobian.add_selfstatement · cited by 1
- WeierstrassCurve.Jacobian.dblXYZ_Xstatement · cited by 1
- WeierstrassCurve.Jacobian.dblXYZ_Ystatement · cited by 1
- WeierstrassCurve.Jacobian.dblXYZ_Zstatement · cited by 1
- WeierstrassCurve.Jacobian.dblXYZ_of_Y_eqstatement · cited by 1
- WeierstrassCurve.Jacobian.dblXYZ_of_Y_eq'statement · cited by 1
- WeierstrassCurve.Jacobian.dblXYZ_of_Z_eq_zerostatement · cited by 1
- WeierstrassCurve.Jacobian.dblXYZ_of_Z_ne_zerostatement · cited by 1
- WeierstrassCurve.Jacobian.dblXYZ_smulstatement and proof · cited by 1