Mathlib Map

Theorems · Theorem · algebraic geometry

WeierstrassCurve.Jacobian.addX_smul

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Jacobian R} (P Q : Fin 3 → R) (u v : R),
  W'.addX (u • P) (v • Q) = ((u * v) ^ 2) ^ 2 * W'.addX P Q
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Formula
Cited by
2 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Quot.sound
Assumes
CommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

WeierstrassCurve.Jacobian.addXYZ_smul · cited by 1Jacobian.addXYZ_smulWeierstrassCurve.Jacobian.addY_smul · cited by 1Jacobian.addY_smulCommRing · cited by 17173CommRingWeierstrassCurve.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.addX · cited by 25Jacobian.addXJacobian.addX_smulCITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.