Theorems · Theorem · algebraic geometry
WeierstrassCurve.twoTorsionPolynomial_discr_ne_zero_of_isElliptic
∀ {R : Type u} [inst : CommRing R] (W : WeierstrassCurve R) [W.IsElliptic] [Nontrivial R],
IsUnit 2 → W.twoTorsionPolynomial.discr ≠ 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Nontrivialstatement and proof · cited by 2,416
- IsUnitstatement and proof · cited by 1,602
- WeierstrassCurvestatement and proof · cited by 394
- WeierstrassCurve.IsEllipticstatement and proof · cited by 52
- Cubic.discrstatement · cited by 10
- WeierstrassCurve.twoTorsionPolynomialstatement · cited by 9
- WeierstrassCurve.isUnit_Δproof · cited by 1
- WeierstrassCurve.twoTorsionPolynomial_discr_ne_zeroproof · cited by 1
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