Theorems · Inductive type · algebraic geometry
WeierstrassCurve.IsCharNeTwoNF
{R : Type u_1} → [CommRing R] → WeierstrassCurve R → PropA WeierstrassCurve is in normal form of characteristic ≠ 2, if its a₁, a₃ = 0.
In other words it is Y² = X³ + a₂X² + a₄X + a₆.
- Cited by
- 15 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 by17
Results whose statement or proof uses this declaration.
- WeierstrassCurve.b₂_of_isCharNeTwoNFstatement and proof · cited by 5
- WeierstrassCurve.b₄_of_isCharNeTwoNFstatement and proof · cited by 5
- WeierstrassCurve.b₆_of_isCharNeTwoNFstatement and proof · cited by 4
- WeierstrassCurve.a₃_of_isCharNeTwoNFstatement and proof · cited by 4
- WeierstrassCurve.Δ_of_isCharNeTwoNFstatement and proof · cited by 3
- WeierstrassCurve.a₁_of_isCharNeTwoNFstatement and proof · cited by 3
- WeierstrassCurve.b₈_of_isCharNeTwoNFstatement and proof · cited by 3
- WeierstrassCurve.IsCharNeTwoNF.a₁statement and proof · cited by 2
- WeierstrassCurve.IsCharNeTwoNF.a₃statement and proof · cited by 2
- WeierstrassCurve.c₄_of_isCharNeTwoNFstatement and proof · cited by 2
- WeierstrassCurve.c₆_of_isCharNeTwoNFstatement and proof · cited by 2
- WeierstrassCurve.toShortNFOfCharThree_specproof · cited by 1