Theorems · Theorem · algebraic geometry
WeierstrassCurve.Affine.equation_iff_nonsingular
∀ {R : Type r} [inst : CommRing R] {W : WeierstrassCurve.Affine R} [Nontrivial R] [WeierstrassCurve.IsElliptic W]
{x y : R}, W.Equation x y ↔ W.Nonsingular x y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Nontrivialstatement and proof · cited by 2,416
- WeierstrassCurve.Affinestatement and proof · cited by 174
- WeierstrassCurve.Affine.Nonsingularstatement · cited by 76
- Units.ne_zeroproof · cited by 68
- WeierstrassCurve.IsEllipticstatement and proof · cited by 52
- WeierstrassCurve.Affine.Equationstatement · cited by 43
- WeierstrassCurve.Δ'proof · cited by 32
- WeierstrassCurve.coe_Δ'proof · cited by 11
- WeierstrassCurve.Affine.equation_iff_nonsingular_of_Δ_ne_zeroproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.