Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.addZ_ne_zero_of_X_ne
∀ {R : Type r} [inst : CommRing R] {P Q : Fin 3 → R},
P 0 * Q 2 ^ 2 ≠ Q 0 * P 2 ^ 2 → WeierstrassCurve.Jacobian.addZ P Q ≠ 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- sub_ne_zeroproof · cited by 119
- WeierstrassCurve.Jacobian.addZstatement · cited by 33
Cited by4
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.isUnit_addZ_of_X_neproof · cited by 4
- WeierstrassCurve.Jacobian.addX_of_Z_ne_zeroproof · cited by 2
- WeierstrassCurve.Jacobian.negAddY_of_Z_ne_zeroproof · cited by 1
- WeierstrassCurve.Jacobian.addY_of_Z_ne_zeroproof · cited by 1