Theorems · Definition · algebraic geometry
WeierstrassCurve.Projective.addY
{R : Type r} → [CommRing R] → WeierstrassCurve.Projective R → (Fin 3 → R) → (Fin 3 → R) → RThe Y-coordinate of a representative of P + Q for two distinct projective 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
- 19 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.negYproof · cited by 56
- WeierstrassCurve.Projective.addZproof · cited by 29
- WeierstrassCurve.Projective.addXproof · cited by 21
- WeierstrassCurve.Projective.negAddYproof · cited by 18
Cited by20
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.addXYZproof · cited by 15
- WeierstrassCurve.Projective.map_addXYZproof · cited by 2
- WeierstrassCurve.Projective.map_addYstatement · cited by 2
- WeierstrassCurve.Projective.addXYZ_Ystatement · cited by 1
- WeierstrassCurve.Projective.addXYZ_of_X_eqproof · cited by 1
- WeierstrassCurve.Projective.addXYZ_of_Z_eq_zero_leftproof · cited by 1
- WeierstrassCurve.Projective.addXYZ_of_Z_eq_zero_rightproof · cited by 1
- WeierstrassCurve.Projective.addXYZ_of_Z_ne_zeroproof · cited by 1
- WeierstrassCurve.Projective.addXYZ_smulproof · cited by 1
- WeierstrassCurve.Projective.addY_negstatement · cited by 1
- WeierstrassCurve.Projective.addY_of_X_eqstatement and proof · cited by 1
- WeierstrassCurve.Projective.addY_of_X_eq'statement · cited by 1