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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.map_addXYZ

∀ {R : Type r} {S : Type s} [inst : CommRing R] [inst_1 : CommRing S] {W' : WeierstrassCurve.Projective R} (f : R →+* S)
  (P Q : Fin 3 → R), (W'.map f).addXYZ (⇑f ∘ P) (⇑f ∘ Q) = ⇑f ∘ W'.addXYZ P Q
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_addXYZ · cited by 0Projective.baseChange_add…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.addZ · cited by 29Projective.addZWeierstrassCurve.Projective.map · cited by 25Projective.mapWeierstrassCurve.Projective.addX · cited by 21Projective.addXWeierstrassCurve.Projective.addY · cited by 19Projective.addYWeierstrassCurve.Projective.addXYZ · cited by 15Projective.addXYZWeierstrassCurve.Projective.comp_fin3 · cited by 3Projective.comp_fin3WeierstrassCurve.Projective.map_addX · cited by 3Projective.map_addXWeierstrassCurve.Projective.map_addY · cited by 2Projective.map_addYWeierstrassCurve.Projective.map_addZ · cited by 2Projective.map_addZProjective.map_addXYZCITED BYCITES

Cites15

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Cited by2

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