Mathlib Map

Theorems · Definition · algebraic geometry

WeierstrassCurve.Jacobian.neg

{R : Type r} → [CommRing R] → WeierstrassCurve.Jacobian R → (Fin 3 → R) → Fin 3 → R

The negation of a Jacobian point representative on a Weierstrass curve.

Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Point
Cited by
19 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext
Assumes
CommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

WeierstrassCurve.Jacobian.negMap · cited by 5Jacobian.negMapWeierstrassCurve.Jacobian.neg_of_Z_eq_zero · cited by 3Jacobian.neg_of_Z_eq_zeroWeierstrassCurve.Jacobian.neg_of_Z_ne_zero · cited by 3Jacobian.neg_of_Z_ne_zeroWeierstrassCurve.Jacobian.addZ_neg · cited by 2Jacobian.addZ_negWeierstrassCurve.Jacobian.nonsingular_neg · cited by 2Jacobian.nonsingular_negWeierstrassCurve.Jacobian.negMap_eq · cited by 2Jacobian.negMap_eqWeierstrassCurve.Jacobian.neg_X · cited by 2Jacobian.neg_XWeierstrassCurve.Jacobian.neg_Y · cited by 2Jacobian.neg_YWeierstrassCurve.Jacobian.neg_Z · cited by 2Jacobian.neg_ZWeierstrassCurve.Jacobian.addX_neg · cited by 2Jacobian.addX_negWeierstrassCurve.Jacobian.addY_neg · cited by 1Jacobian.addY_negWeierstrassCurve.Jacobian.map_neg · cited by 1Jacobian.map_negWeierstrassCurve.Jacobian.negAddY_neg · cited by 1Jacobian.negAddY_negWeierstrassCurve.Jacobian.Point.toAffine_neg · cited by 1Point.toAffine_negWeierstrassCurve.Jacobian.neg_of_Z_eq_zero' · cited by 1Jacobian.neg_of_Z_eq_zero'CommRing · cited by 17173CommRingMatrix.vecCons · cited by 852Matrix.vecConsMatrix.vecEmpty · cited by 832Matrix.vecEmptyWeierstrassCurve.Jacobian · cited by 232WeierstrassCurve.JacobianWeierstrassCurve.Jacobian.negY · cited by 56Jacobian.negYJacobian.negCITED BYCITES

Cites5

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

Cited by20

Results whose statement or proof uses this declaration.