Theorems · Definition · algebraic geometry
WeierstrassCurve.Jacobian.addZ
{R : Type r} → [CommRing R] → (Fin 3 → R) → (Fin 3 → R) → RThe Z-coordinate of a representative of P + Q for two distinct Jacobian point
representatives P and Q on a Weierstrass curve.
If the representatives of P and Q are equal, then this returns the value 0.
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by35
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.addYproof · cited by 18
- WeierstrassCurve.Jacobian.addXYZproof · cited by 15
- WeierstrassCurve.Jacobian.addZ_of_X_eqstatement · cited by 5
- WeierstrassCurve.Jacobian.isUnit_addZ_of_X_nestatement · cited by 4
- WeierstrassCurve.Jacobian.addX_eq'statement and proof · cited by 4
- WeierstrassCurve.Jacobian.addZ_ne_zero_of_X_nestatement · cited by 4
- WeierstrassCurve.Jacobian.add_of_X_nestatement and proof · cited by 3
- WeierstrassCurve.Jacobian.map_addXYZproof · cited by 2
- WeierstrassCurve.Jacobian.map_addYproof · cited by 2
- WeierstrassCurve.Jacobian.map_addZstatement · cited by 2
- WeierstrassCurve.Jacobian.addX_of_Z_ne_zerostatement and proof · cited by 2
- WeierstrassCurve.Jacobian.addZ_negstatement · cited by 2