Theorems · Definition · algebraic geometry
WeierstrassCurve.Projective.add
{R : Type r} → [CommRing R] → WeierstrassCurve.Projective R → (Fin 3 → R) → (Fin 3 → R) → Fin 3 → RThe addition of two projective point representatives on a Weierstrass curve.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 67 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.
Cites4
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.Projectivestatement and proof · cited by 244
- WeierstrassCurve.Projective.addXYZproof · cited by 15
- WeierstrassCurve.Projective.dblXYZproof · cited by 14
Cited by21
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.addMapproof · cited by 7
- WeierstrassCurve.Projective.add_of_equivstatement · cited by 6
- WeierstrassCurve.Projective.add_of_not_equivstatement · cited by 6
- WeierstrassCurve.Projective.add_of_Z_eq_zerostatement · cited by 4
- WeierstrassCurve.Projective.addMap_eqstatement · cited by 4
- WeierstrassCurve.Projective.add_of_X_nestatement · cited by 3
- WeierstrassCurve.Projective.add_of_Y_eqstatement · cited by 3
- WeierstrassCurve.Projective.add_of_Y_nestatement · cited by 3
- WeierstrassCurve.Projective.add_of_Y_ne'statement · cited by 3
- WeierstrassCurve.Projective.add_of_Z_eq_zero_leftstatement · cited by 3
- WeierstrassCurve.Projective.add_of_Z_eq_zero_rightstatement · cited by 3
- WeierstrassCurve.Projective.nonsingular_addstatement · cited by 1