Theorems · Definition · algebraic geometry
WeierstrassCurve.Jacobian.dblZ
{R : Type r} → [CommRing R] → WeierstrassCurve.Jacobian R → (Fin 3 → R) → RThe Z-coordinate of a representative of 2 • P for a Jacobian point representative P on a
Weierstrass curve.
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
Cited by28
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.dblXYZproof · cited by 15
- WeierstrassCurve.Jacobian.dblYproof · cited by 11
- WeierstrassCurve.Jacobian.isUnit_dblZ_of_Y_ne'statement · cited by 4
- WeierstrassCurve.Jacobian.map_dblZstatement · cited by 3
- WeierstrassCurve.Jacobian.add_of_Y_ne'statement and proof · cited by 3
- WeierstrassCurve.Jacobian.dblX_of_Z_ne_zerostatement and proof · cited by 2
- WeierstrassCurve.Jacobian.dblZ_ne_zero_of_Y_ne'statement · cited by 2
- WeierstrassCurve.Jacobian.dblZ_of_Y_eqstatement · cited by 2
- WeierstrassCurve.Jacobian.dblZ_of_Z_eq_zerostatement · cited by 2
- WeierstrassCurve.Jacobian.dblZ_smulstatement · cited by 2
- WeierstrassCurve.Jacobian.addX_negstatement and proof · cited by 2
- WeierstrassCurve.Jacobian.map_dblXYZproof · cited by 2