Theorems · Theorem · algebraic geometry
WeierstrassCurve.isElliptic_iff
∀ {R : Type u} [inst : CommRing R] (W : WeierstrassCurve R), W.IsElliptic ↔ IsUnit W.Δ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- IsUnitstatement and proof · cited by 1,602
- WeierstrassCurvestatement and proof · cited by 394
- WeierstrassCurve.IsEllipticstatement and proof · cited by 52
- WeierstrassCurve.Δstatement and proof · cited by 46
- WeierstrassCurve.IsElliptic.casesOnproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- WeierstrassCurve.hasGoodReduction_iff_isElliptic_reductionproof · cited by 1