Theorems · Inductive type · algebraic geometry
WeierstrassCurve.IsCharTwoJEqZeroNF
{R : Type u_1} → [CommRing R] → WeierstrassCurve R → PropA WeierstrassCurve is in normal form of characteristic = 2 and j = 0, if its a₁, a₂ = 0.
In other words it is Y² + a₃Y = X³ + a₄X + a₆.
- Cited by
- 19 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 by23
Results whose statement or proof uses this declaration.
- WeierstrassCurve.b₄_of_isCharTwoJEqZeroNFstatement and proof · cited by 4
- WeierstrassCurve.b₂_of_isCharTwoJEqZeroNFstatement and proof · cited by 3
- WeierstrassCurve.Δ_of_isCharTwoJEqZeroNFstatement and proof · cited by 3
- WeierstrassCurve.a₁_of_isCharTwoJEqZeroNFstatement and proof · cited by 3
- WeierstrassCurve.c₄_of_isCharTwoJEqZeroNFstatement and proof · cited by 2
- WeierstrassCurve.a₂_of_isCharTwoJEqZeroNFstatement and proof · cited by 2
- WeierstrassCurve.b₈_of_isCharTwoJEqZeroNFstatement and proof · cited by 1
- WeierstrassCurve.c₄_of_isCharTwoJEqZeroNF_of_char_twostatement and proof · cited by 1
- WeierstrassCurve.IsCharTwoJEqZeroNF.a₁statement and proof · cited by 1
- WeierstrassCurve.c₆_of_isCharTwoJEqZeroNFstatement and proof · cited by 1
- WeierstrassCurve.IsCharTwoJEqZeroNF.a₂statement and proof · cited by 1
- WeierstrassCurve.IsCharTwoJEqZeroNF.casesOnstatement and proof · cited by 1