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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Jacobian.map_dblX

∀ {R : Type r} {S : Type s} [inst : CommRing R] [inst_1 : CommRing S] {W' : WeierstrassCurve.Jacobian R} (f : R →+* S)
  (P : Fin 3 → R), (W'.map f).dblX (⇑f ∘ P) = f (W'.dblX P)
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Formula
Cited by
4 results in Mathlib
Foundations
Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRing
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Around this declaration

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

WeierstrassCurve.Jacobian.map_negDblY · cited by 2Jacobian.map_negDblYWeierstrassCurve.Jacobian.map_dblXYZ · cited by 2Jacobian.map_dblXYZWeierstrassCurve.Jacobian.map_dblY · cited by 2Jacobian.map_dblYWeierstrassCurve.Jacobian.baseChange_dblX · cited by 0Jacobian.baseChange_dblXDFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHommap_mul · cited by 1137map_mulmap_sub · cited by 565map_submap_pow · cited by 503map_powWeierstrassCurve.a₁ · cited by 272WeierstrassCurve.a₁WeierstrassCurve.Jacobian · cited by 232WeierstrassCurve.JacobianWeierstrassCurve.a₂ · cited by 216WeierstrassCurve.a₂map_ofNat · cited by 73map_ofNatWeierstrassCurve.Jacobian.negY · cited by 56Jacobian.negYWeierstrassCurve.Jacobian.map · cited by 24Jacobian.mapWeierstrassCurve.Jacobian.dblU · cited by 19Jacobian.dblUWeierstrassCurve.Jacobian.dblX · cited by 18Jacobian.dblXWeierstrassCurve.Jacobian.map_negY · cited by 4Jacobian.map_negYJacobian.map_dblXCITED BYCITES

Cites16

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Cited by4

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