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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.dblXYZ_smul

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Projective R} (P : Fin 3 → R) (u : R),
  W'.dblXYZ (u • P) = u ^ 4 • W'.dblXYZ P
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
Cited by
1 results in Mathlib
Foundations
Depth 55 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.Projective.add_smul_of_equiv · cited by 1Projective.add_smul_of_eq…CommRing · cited by 17173CommRingMatrix.vecCons · cited by 852Matrix.vecConsMatrix.vecEmpty · cited by 832Matrix.vecEmptyWeierstrassCurve.Projective · cited by 244WeierstrassCurve.Projecti…WeierstrassCurve.Projective.dblZ · cited by 26Projective.dblZWeierstrassCurve.Projective.dblX · cited by 17Projective.dblXWeierstrassCurve.Projective.dblXYZ · cited by 14Projective.dblXYZWeierstrassCurve.Projective.smul_fin3 · cited by 14Projective.smul_fin3WeierstrassCurve.Projective.dblY · cited by 13Projective.dblYWeierstrassCurve.Projective.dblX_smul · cited by 2Projective.dblX_smulWeierstrassCurve.Projective.dblZ_smul · cited by 2Projective.dblZ_smulWeierstrassCurve.Projective.dblXYZ_X · cited by 1Projective.dblXYZ_XWeierstrassCurve.Projective.dblXYZ_Y · cited by 1Projective.dblXYZ_YWeierstrassCurve.Projective.dblXYZ_Z · cited by 1Projective.dblXYZ_ZWeierstrassCurve.Projective.dblY_smul · cited by 1Projective.dblY_smulProjective.dblXYZ_smulCITED BYCITES

Cites15

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Cited by1

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