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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Jacobian.negAddY_neg

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Jacobian R} {P : Fin 3 → R},
  W'.Equation P → W'.negAddY P (W'.neg P) = W'.dblZ P ^ 3
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Point
Cited by
1 results in Mathlib
Foundations
Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
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Around this declaration

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WeierstrassCurve.Jacobian.addY_neg · cited by 1Jacobian.addY_negCommRing · cited by 17173CommRingNat.cast_zero · cited by 1870Nat.cast_zeroWeierstrassCurve.a₁ · cited by 272WeierstrassCurve.a₁WeierstrassCurve.Jacobian · cited by 232WeierstrassCurve.JacobianWeierstrassCurve.a₂ · cited by 216WeierstrassCurve.a₂WeierstrassCurve.a₃ · cited by 210WeierstrassCurve.a₃WeierstrassCurve.a₄ · cited by 187WeierstrassCurve.a₄WeierstrassCurve.a₆ · cited by 153WeierstrassCurve.a₆WeierstrassCurve.Jacobian.Equation · cited by 67Jacobian.EquationWeierstrassCurve.Jacobian.negY · cited by 56Jacobian.negYWeierstrassCurve.Jacobian.dblZ · cited by 26Jacobian.dblZWeierstrassCurve.Jacobian.negAddY · cited by 20Jacobian.negAddYWeierstrassCurve.Jacobian.neg · cited by 19Jacobian.negWeierstrassCurve.Jacobian.equation_iff · cited by 6Jacobian.equation_iffWeierstrassCurve.Jacobian.neg_X · cited by 2Jacobian.neg_XJacobian.negAddY_negCITED BYCITES

Cites17

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Cited by1

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