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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.map_dblX

∀ {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).dblX (⇑f ∘ P) = f (W'.dblX P)
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
Cited by
3 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_dblXYZ · cited by 2Projective.map_dblXYZWeierstrassCurve.Projective.map_dblY · cited by 2Projective.map_dblYWeierstrassCurve.Projective.baseChange_dblX · cited by 0Projective.baseChange_dblXDFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHommap_mul · cited by 1137map_mulmap_add · cited by 964map_addmap_sub · cited by 565map_submap_pow · cited by 503map_powWeierstrassCurve.a₁ · cited by 272WeierstrassCurve.a₁WeierstrassCurve.Projective · cited by 244WeierstrassCurve.Projecti…WeierstrassCurve.a₂ · cited by 216WeierstrassCurve.a₂WeierstrassCurve.a₃ · cited by 210WeierstrassCurve.a₃WeierstrassCurve.a₄ · cited by 187WeierstrassCurve.a₄WeierstrassCurve.a₆ · cited by 153WeierstrassCurve.a₆map_ofNat · cited by 73map_ofNatWeierstrassCurve.Projective.map · cited by 25Projective.mapProjective.map_dblXCITED BYCITES

Cites16

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Cited by3

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