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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.addX_self

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Projective R} (P : Fin 3 → R), W'.addX P P = 0
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
Cited by
2 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Quot.sound
Assumes
CommRing
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Around this declaration

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

WeierstrassCurve.Projective.addY_self · cited by 1Projective.addY_selfWeierstrassCurve.Projective.addXYZ_self · cited by 0Projective.addXYZ_selfCommRing · cited by 17173CommRingNat.cast_zero · cited by 1870Nat.cast_zeroWeierstrassCurve.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.a₆WeierstrassCurve.Projective.addX · cited by 21Projective.addXProjective.addX_selfCITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.