Theorems · Definition · algebraic geometry
WeierstrassCurve.Projective.dblXYZ
{R : Type r} → [CommRing R] → WeierstrassCurve.Projective R → (Fin 3 → R) → Fin 3 → RThe coordinates of a representative of 2 • P for a projective point representative P on a
Weierstrass curve.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext
- 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.Projectivestatement and proof · cited by 244
- WeierstrassCurve.Projective.dblZproof · cited by 26
- WeierstrassCurve.Projective.dblXproof · cited by 17
- WeierstrassCurve.Projective.dblYproof · cited by 13
Cited by15
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.addproof · cited by 20
- WeierstrassCurve.Projective.add_of_equivstatement · cited by 6
- WeierstrassCurve.Projective.map_dblXYZstatement · cited by 2
- WeierstrassCurve.Projective.map_addproof · cited by 1
- WeierstrassCurve.Projective.add_selfstatement · cited by 1
- WeierstrassCurve.Projective.dblXYZ_Xstatement · cited by 1
- WeierstrassCurve.Projective.dblXYZ_Ystatement · cited by 1
- WeierstrassCurve.Projective.dblXYZ_Zstatement · cited by 1
- WeierstrassCurve.Projective.dblXYZ_of_Y_eqstatement · cited by 1
- WeierstrassCurve.Projective.dblXYZ_of_Z_eq_zerostatement · cited by 1
- WeierstrassCurve.Projective.dblXYZ_of_Z_ne_zerostatement · cited by 1
- WeierstrassCurve.Projective.dblXYZ_smulstatement and proof · cited by 1