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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.add_of_equiv

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Projective R} {P Q : Fin 3 → R},
  P ≈ Q → W'.add P Q = W'.dblXYZ P
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Point
Cited by
6 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
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Around this declaration

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

WeierstrassCurve.Projective.add_of_Z_eq_zero · cited by 4Projective.add_of_Z_eq_ze…WeierstrassCurve.Projective.add_of_Y_eq · cited by 3Projective.add_of_Y_eqWeierstrassCurve.Projective.add_of_Y_ne' · cited by 3Projective.add_of_Y_ne'WeierstrassCurve.Projective.add_self · cited by 1Projective.add_selfWeierstrassCurve.Projective.add_smul_of_equiv · cited by 1Projective.add_smul_of_eq…WeierstrassCurve.Projective.map_add · cited by 1Projective.map_addCommRing · cited by 17173CommRingWeierstrassCurve.Projective · cited by 244WeierstrassCurve.Projecti…WeierstrassCurve.Projective.add · cited by 20Projective.addWeierstrassCurve.Projective.dblXYZ · cited by 14Projective.dblXYZProjective.add_of_equivCITED BYCITES

Cites4

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Cited by6

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