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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Jacobian.dblZ_smul

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Jacobian R} (P : Fin 3 → R) (u : R),
  W'.dblZ (u • P) = u ^ 4 * W'.dblZ P
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Formula
Cited by
2 results in Mathlib
Foundations
Depth 40 from the axioms · uses propext, Quot.sound
Assumes
CommRing
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Around this declaration

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

WeierstrassCurve.Jacobian.dblXYZ_smul · cited by 1Jacobian.dblXYZ_smulWeierstrassCurve.Jacobian.dblY_smul · cited by 1Jacobian.dblY_smulCommRing · cited by 17173CommRingWeierstrassCurve.Jacobian · cited by 232WeierstrassCurve.JacobianWeierstrassCurve.Jacobian.negY · cited by 56Jacobian.negYWeierstrassCurve.Jacobian.dblZ · cited by 26Jacobian.dblZWeierstrassCurve.Jacobian.negY_smul · cited by 4Jacobian.negY_smulJacobian.dblZ_smulCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.