Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.negY_eq
∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Jacobian R} (X Y Z : R),
W'.negY ![X, Y, Z] = -Y - W'.a₁ * X * Z - W'.a₃ * Z ^ 3- Cited by
- 6 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.
Cites7
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.vecConsstatement · cited by 852
- Matrix.vecEmptystatement · cited by 832
- WeierstrassCurve.a₁statement · cited by 272
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- WeierstrassCurve.a₃statement · cited by 210
- WeierstrassCurve.Jacobian.negYstatement · cited by 56
Cited by6
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.dblY_of_Y_eqproof · cited by 1
- WeierstrassCurve.Jacobian.dblY_of_Z_eq_zeroproof · cited by 1
- WeierstrassCurve.Jacobian.addY_of_X_eq'proof · cited by 1
- WeierstrassCurve.Jacobian.addY_of_Z_eq_zero_leftproof · cited by 1
- WeierstrassCurve.Jacobian.addY_of_Z_eq_zero_rightproof · cited by 1
- WeierstrassCurve.Jacobian.addY_selfproof · cited by 1