Mathlib Map

Theorems · Theorem · algebraic geometry

WeierstrassCurve.Jacobian.dblX_smul

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Jacobian R} (P : Fin 3 → R) (u : R),
  W'.dblX (u • P) = (u ^ 4) ^ 2 * W'.dblX P
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Formula
Cited by
3 results in Mathlib
Foundations
Depth 101 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.negDblY_smul · cited by 1Jacobian.negDblY_smulWeierstrassCurve.Jacobian.dblXYZ_smul · cited by 1Jacobian.dblXYZ_smulWeierstrassCurve.Jacobian.dblY_smul · cited by 1Jacobian.dblY_smulCommRing · cited by 17173CommRingWeierstrassCurve.a₁ · cited by 272WeierstrassCurve.a₁WeierstrassCurve.Jacobian · cited by 232WeierstrassCurve.JacobianWeierstrassCurve.a₂ · cited by 216WeierstrassCurve.a₂WeierstrassCurve.Jacobian.negY · cited by 56Jacobian.negYWeierstrassCurve.Jacobian.dblU · cited by 19Jacobian.dblUWeierstrassCurve.Jacobian.dblX · cited by 18Jacobian.dblXWeierstrassCurve.Jacobian.negY_smul · cited by 4Jacobian.negY_smulWeierstrassCurve.Jacobian.dblU_smul · cited by 2Jacobian.dblU_smulJacobian.dblX_smulCITED BYCITES

Cites9

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

Cited by3

Results whose statement or proof uses this declaration.