Theorems · Theorem · algebraic geometry
WeierstrassCurve.Projective.equiv_zero_of_Z_eq_zero
∀ {F : Type u} [inst : Field F] {W : WeierstrassCurve.Projective F} {P : Fin 3 → F},
W.Nonsingular P → P 2 = 0 → P ≈ ![0, 1, 0]- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 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
- Matrix.vecConsstatement · cited by 852
- Matrix.vecEmptystatement · cited by 832
- WeierstrassCurve.Projectivestatement and proof · cited by 244
- WeierstrassCurve.Projective.Nonsingularstatement and proof · cited by 37
- WeierstrassCurve.Projective.equiv_of_Z_eq_zeroproof · cited by 3
- WeierstrassCurve.Projective.nonsingular_zeroproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.addMap_of_Z_eq_zero_rightproof · cited by 0
- WeierstrassCurve.Projective.addMap_of_Z_eq_zero_leftproof · cited by 0