Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.negMap_of_Z_ne_zero
∀ {F : Type u} [inst : Field F] {W : WeierstrassCurve.Jacobian F} {P : Fin 3 → F},
P 2 ≠ 0 → W.negMap ⟦P⟧ = ⟦![P 0 / P 2 ^ 2, W.toAffine.negY (P 0 / P 2 ^ 2) (P 1 / P 2 ^ 3), 1]⟧- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 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.
Cites14
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
- Unitsstatement and proof · cited by 2,804
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- MulAction.orbitRelstatement and proof · cited by 114
- Ne.isUnitproof · cited by 99
- WeierstrassCurve.Affine.negYstatement and proof · cited by 56
- WeierstrassCurve.Jacobian.toAffinestatement and proof · cited by 47
- WeierstrassCurve.Jacobian.PointClassstatement and proof · cited by 21
- WeierstrassCurve.Jacobian.smul_eqproof · cited by 7
- WeierstrassCurve.Jacobian.negMapstatement · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.