Mathlib Map

Theorems · Theorem · algebraic geometry

WeierstrassCurve.Jacobian.addY_neg

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Jacobian R} {P : Fin 3 → R},
  W'.Equation P → W'.addY P (W'.neg P) = -W'.dblZ P ^ 3
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Point
Cited by
1 results in Mathlib
Foundations
Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WeierstrassCurve.Jacobian.addXYZ_neg · cited by 0Jacobian.addXYZ_negCommRing · cited by 17173CommRingMatrix.vecCons · cited by 852Matrix.vecConsMatrix.vecEmpty · cited by 832Matrix.vecEmptyWeierstrassCurve.Jacobian · cited by 232WeierstrassCurve.JacobianWeierstrassCurve.Jacobian.Equation · cited by 67Jacobian.EquationWeierstrassCurve.Jacobian.negY · cited by 56Jacobian.negYWeierstrassCurve.Jacobian.addZ · cited by 33Jacobian.addZWeierstrassCurve.Jacobian.dblZ · cited by 26Jacobian.dblZWeierstrassCurve.Jacobian.negAddY · cited by 20Jacobian.negAddYWeierstrassCurve.Jacobian.neg · cited by 19Jacobian.negWeierstrassCurve.Jacobian.addY · cited by 18Jacobian.addYWeierstrassCurve.Jacobian.negY_of_Z_eq_zero · cited by 4Jacobian.negY_of_Z_eq_zeroWeierstrassCurve.Jacobian.addZ_neg · cited by 2Jacobian.addZ_negWeierstrassCurve.Jacobian.addX_neg · cited by 2Jacobian.addX_negWeierstrassCurve.Jacobian.negAddY_neg · cited by 1Jacobian.negAddY_negJacobian.addY_negCITED BYCITES

Cites15

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.