Theorems · Inductive type · algebraic geometry
WeierstrassCurve.IsCharTwoJNeZeroNF
{R : Type u_1} → [CommRing R] → WeierstrassCurve R → PropA WeierstrassCurve is in normal form of characteristic = 2 and j ≠ 0, if its a₁ = 1 and
a₃, a₄ = 0. In other words it is Y² + XY = X³ + a₂X² + a₆.
- Cited by
- 22 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 by26
Results whose statement or proof uses this declaration.
- WeierstrassCurve.b₂_of_isCharTwoJNeZeroNF_of_char_twostatement and proof · cited by 3
- WeierstrassCurve.b₄_of_isCharTwoJNeZeroNFstatement and proof · cited by 3
- WeierstrassCurve.a₃_of_isCharTwoJNeZeroNFstatement and proof · cited by 3
- WeierstrassCurve.a₄_of_isCharTwoJNeZeroNFstatement and proof · cited by 2
- WeierstrassCurve.b₆_of_isCharTwoJNeZeroNFstatement and proof · cited by 2
- WeierstrassCurve.Δ_of_isCharTwoJNeZeroNF_of_char_twostatement and proof · cited by 2
- WeierstrassCurve.a₁_of_isCharTwoJNeZeroNFstatement and proof · cited by 2
- WeierstrassCurve.b₂_of_isCharTwoJNeZeroNFstatement and proof · cited by 1
- WeierstrassCurve.b₆_of_isCharTwoJNeZeroNF_of_char_twostatement and proof · cited by 1
- WeierstrassCurve.b₈_of_isCharTwoJNeZeroNFstatement and proof · cited by 1
- WeierstrassCurve.b₈_of_isCharTwoJNeZeroNF_of_char_twostatement and proof · cited by 1
- WeierstrassCurve.j_of_isCharTwoJNeZeroNF_of_char_twostatement and proof · cited by 1