Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.X_eq_iff
∀ {F : Type u} [inst : Field F] {P Q : Fin 3 → F},
P 2 ≠ 0 → Q 2 ≠ 0 → (P 0 * Q 2 ^ 2 = Q 0 * P 2 ^ 2 ↔ P 0 / P 2 ^ 2 = Q 0 / Q 2 ^ 2)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 47 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.
Cites3
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
- pow_ne_zeroproof · cited by 208
- div_eq_div_iffproof · cited by 22
Cited by3
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.dblX_of_Z_ne_zeroproof · cited by 2
- WeierstrassCurve.Jacobian.negDblY_of_Z_ne_zeroproof · cited by 1
- WeierstrassCurve.Jacobian.Point.toAffine_addproof · cited by 1