Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.negY_of_Z_eq_zero
∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Jacobian R} {P : Fin 3 → R}, P 2 = 0 → W'.negY P = -P 1- Cited by
- 4 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- sub_zeroproof · cited by 938
- zero_powproof · cited by 361
- WeierstrassCurve.a₁proof · cited by 272
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- WeierstrassCurve.a₃proof · cited by 210
- WeierstrassCurve.Jacobian.negYstatement · cited by 56
- three_ne_zeroproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.dblX_of_Z_eq_zeroproof · cited by 2
- WeierstrassCurve.Jacobian.addY_negproof · cited by 1
- WeierstrassCurve.Jacobian.negDblY_of_Z_eq_zeroproof · cited by 1
- WeierstrassCurve.Jacobian.neg_of_Z_eq_zero'proof · cited by 1