Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.nonsingular_neg
∀ {F : Type u} [inst : Field F] {W : WeierstrassCurve.Jacobian F} {P : Fin 3 → F},
W.Nonsingular P → W.Nonsingular (W.neg P)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- Ne.isUnitproof · cited by 99
- WeierstrassCurve.Affine.negYproof · cited by 56
- WeierstrassCurve.Jacobian.toAffineproof · cited by 47
- WeierstrassCurve.Jacobian.Nonsingularstatement and proof · cited by 40
- IsUnit.negproof · cited by 19
- WeierstrassCurve.Jacobian.negstatement · cited by 19
- WeierstrassCurve.Jacobian.isUnit_X_of_Z_eq_zeroproof · cited by 9
- WeierstrassCurve.Jacobian.nonsingular_smulproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.Point.toAffine_negproof · cited by 1
- WeierstrassCurve.Jacobian.nonsingularLift_negMapproof · cited by 0