Theorems · Definition · algebraic geometry
WeierstrassCurve.Jacobian.dblX
{R : Type r} → [CommRing R] → WeierstrassCurve.Jacobian R → (Fin 3 → R) → RThe X-coordinate of a representative of 2 • P for a Jacobian point representative P on a
Weierstrass curve.
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 96 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.
Cites6
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.a₂proof · cited by 216
- WeierstrassCurve.Jacobian.negYproof · cited by 56
- WeierstrassCurve.Jacobian.dblUproof · cited by 19
Cited by21
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.dblXYZproof · cited by 15
- WeierstrassCurve.Jacobian.dblYproof · cited by 11
- WeierstrassCurve.Jacobian.negDblYproof · cited by 11
- WeierstrassCurve.Jacobian.map_dblXstatement · cited by 4
- WeierstrassCurve.Jacobian.dblX_smulstatement · cited by 3
- WeierstrassCurve.Jacobian.map_dblXYZproof · cited by 2
- WeierstrassCurve.Jacobian.map_dblYproof · cited by 2
- WeierstrassCurve.Jacobian.dblX_of_Y_eqstatement · cited by 2
- WeierstrassCurve.Jacobian.dblX_of_Z_eq_zerostatement · cited by 2
- WeierstrassCurve.Jacobian.dblX_of_Z_ne_zerostatement · cited by 2
- WeierstrassCurve.Jacobian.map_negDblYproof · cited by 2
- WeierstrassCurve.Jacobian.dblXYZ_Xstatement · cited by 1