Theorems · Inductive type · algebraic geometry
WeierstrassCurve.IsCharThreeJNeZeroNF
{R : Type u_1} → [CommRing R] → WeierstrassCurve R → PropA WeierstrassCurve is in normal form of characteristic = 3 and j ≠ 0, if its
a₁, a₃, a₄ = 0. In other words it is Y² = X³ + a₂X² + a₆.
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- WeierstrassCurvestatement · cited by 394
Cited by27
Results whose statement or proof uses this declaration.
- WeierstrassCurve.a₄_of_isCharThreeJNeZeroNFstatement and proof · cited by 5
- WeierstrassCurve.Δ_of_isCharThreeJNeZeroNF_of_char_threestatement and proof · cited by 2
- WeierstrassCurve.b₂_of_isCharThreeJNeZeroNFstatement and proof · cited by 1
- WeierstrassCurve.b₆_of_isCharThreeJNeZeroNFstatement and proof · cited by 1
- WeierstrassCurve.b₈_of_isCharThreeJNeZeroNFstatement and proof · cited by 1
- WeierstrassCurve.j_of_isCharThreeJNeZeroNF_of_char_threestatement and proof · cited by 1
- WeierstrassCurve.c₄_of_isCharThreeJNeZeroNFstatement and proof · cited by 1
- WeierstrassCurve.c₄_of_isCharThreeJNeZeroNF_of_char_threestatement and proof · cited by 1
- WeierstrassCurve.IsCharThreeJNeZeroNF.a₁statement and proof · cited by 1
- WeierstrassCurve.IsCharThreeJNeZeroNF.a₃statement and proof · cited by 1
- WeierstrassCurve.IsCharThreeJNeZeroNF.a₄statement and proof · cited by 1
- WeierstrassCurve.IsCharThreeJNeZeroNF.casesOnstatement and proof · cited by 1