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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.map_negY

∀ {R : Type r} {S : Type s} [inst : CommRing R] [inst_1 : CommRing S] {W' : WeierstrassCurve.Projective R} (f : R →+* S)
  (P : Fin 3 → R), (W'.map f).negY (⇑f ∘ P) = f (W'.negY P)
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
Cited by
2 results in Mathlib
Foundations
Depth 26 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.Projective.map_neg · cited by 1Projective.map_negWeierstrassCurve.Projective.baseChange_negY · cited by 0Projective.baseChange_negYDFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHommap_mul · cited by 1137map_mulmap_sub · cited by 565map_submap_neg · cited by 378map_negWeierstrassCurve.a₁ · cited by 272WeierstrassCurve.a₁WeierstrassCurve.Projective · cited by 244WeierstrassCurve.Projecti…WeierstrassCurve.a₃ · cited by 210WeierstrassCurve.a₃WeierstrassCurve.Projective.negY · cited by 56Projective.negYWeierstrassCurve.Projective.map · cited by 25Projective.mapProjective.map_negYCITED BYCITES

Cites11

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Cited by2

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