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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.map_dblXYZ

∀ {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).dblXYZ (⇑f ∘ P) = ⇑f ∘ W'.dblXYZ P
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
Cited by
2 results in Mathlib
Foundations
Depth 38 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_add · cited by 1Projective.map_addWeierstrassCurve.Projective.baseChange_dblXYZ · cited by 0Projective.baseChange_dbl…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomMatrix.vecCons · cited by 852Matrix.vecConsMatrix.vecEmpty · cited by 832Matrix.vecEmptyWeierstrassCurve.Projective · cited by 244WeierstrassCurve.Projecti…WeierstrassCurve.Projective.dblZ · cited by 26Projective.dblZWeierstrassCurve.Projective.map · cited by 25Projective.mapWeierstrassCurve.Projective.dblX · cited by 17Projective.dblXWeierstrassCurve.Projective.dblXYZ · cited by 14Projective.dblXYZWeierstrassCurve.Projective.dblY · cited by 13Projective.dblYWeierstrassCurve.Projective.comp_fin3 · cited by 3Projective.comp_fin3WeierstrassCurve.Projective.map_dblX · cited by 3Projective.map_dblXWeierstrassCurve.Projective.map_dblZ · cited by 3Projective.map_dblZWeierstrassCurve.Projective.map_dblY · cited by 2Projective.map_dblYProjective.map_dblXYZCITED BYCITES

Cites15

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Cited by2

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