Theorems · Theorem · algebraic geometry
WeierstrassCurve.Projective.isUnit_addZ_of_X_ne
∀ {F : Type u} [inst : Field F] {W : WeierstrassCurve.Projective F} {P Q : Fin 3 → F},
W.Equation P → W.Equation Q → P 0 * Q 2 ≠ Q 0 * P 2 → IsUnit (W.addZ P Q)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 100 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.
Cites7
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
- IsUnitstatement · cited by 1,602
- WeierstrassCurve.Projectivestatement and proof · cited by 244
- Ne.isUnitproof · cited by 99
- WeierstrassCurve.Projective.Equationstatement and proof · cited by 88
- WeierstrassCurve.Projective.addZstatement · cited by 29
- WeierstrassCurve.Projective.addZ_ne_zero_of_X_neproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.addXYZ_of_Z_ne_zeroproof · cited by 1
- WeierstrassCurve.Projective.nonsingular_addproof · cited by 1
- WeierstrassCurve.Projective.Point.toAffine_addproof · cited by 1
- WeierstrassCurve.Projective.addMap_of_Z_ne_zeroproof · cited by 0