Theorems · Theorem · algebraic geometry
WeierstrassCurve.Projective.equiv_of_X_eq_of_Y_eq
∀ {F : Type u} [inst : Field F] {P Q : Fin 3 → F},
P 2 ≠ 0 → Q 2 ≠ 0 → P 0 * Q 2 = Q 0 * P 2 → P 1 * Q 2 = Q 1 * P 2 → P ≈ Q- Cited by
- 4 results in Mathlib
- Foundations
- Depth 67 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.
Cites10
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
- mul_commproof · cited by 2,262
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Units.mk0proof · cited by 181
- mul_div_cancel_right₀proof · cited by 70
- mul_divproof · cited by 31
- WeierstrassCurve.Projective.smul_fin3proof · cited by 14
- Units.val_div_eq_div_valproof · cited by 6
- WeierstrassCurve.Projective.fin3_defproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.add_of_Y_eqproof · cited by 3
- WeierstrassCurve.Projective.add_of_Y_ne'proof · cited by 3
- WeierstrassCurve.Projective.equiv_some_of_Z_ne_zeroproof · cited by 2
- WeierstrassCurve.Projective.comp_equiv_compproof · cited by 1