Theorems · Theorem · algebraic geometry
WeierstrassCurve.Projective.equiv_of_Z_eq_zero
∀ {F : Type u} [inst : Field F] {W : WeierstrassCurve.Projective F} {P Q : Fin 3 → F},
W.Nonsingular P → W.Nonsingular Q → P 2 = 0 → Q 2 = 0 → P ≈ Q- Cited by
- 3 results in Mathlib
- Foundations
- Depth 104 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.
Cites13
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- IsUnit.unitproof · cited by 252
- WeierstrassCurve.Projectivestatement and proof · cited by 244
- IsUnit.div_mul_cancelproof · cited by 37
- WeierstrassCurve.Projective.Nonsingularstatement and proof · cited by 37
- WeierstrassCurve.Projective.smul_fin3proof · cited by 14
- WeierstrassCurve.Projective.X_eq_zero_of_Z_eq_zeroproof · cited by 12
- WeierstrassCurve.Projective.isUnit_Y_of_Z_eq_zeroproof · cited by 8
- Units.val_div_eq_div_valproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.add_of_Z_eq_zeroproof · cited by 4
- WeierstrassCurve.Projective.equiv_zero_of_Z_eq_zeroproof · cited by 2
- WeierstrassCurve.Projective.comp_equiv_compproof · cited by 1