Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.eval_polynomialX_of_Z_ne_zero
∀ {F : Type u} [inst : Field F] {W : WeierstrassCurve.Jacobian F} {P : Fin 3 → F},
P 2 ≠ 0 →
(MvPolynomial.eval P) W.polynomialX / P 2 ^ 4 =
Polynomial.evalEval (P 0 / P 2 ^ 2) (P 1 / P 2 ^ 3) W.toAffine.polynomialX- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 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.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Finsuppstatement · cited by 5,255
- Nat.cast_oneproof · cited by 2,501
- MvPolynomialstatement · cited by 2,140
- Nat.cast_zeroproof · cited by 1,870
- WeierstrassCurve.a₁proof · cited by 272
- div_selfproof · cited by 237
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- WeierstrassCurve.a₂proof · cited by 216
- pow_ne_zeroproof · cited by 208
Cited by1
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.nonsingular_iff_of_Z_ne_zeroproof · cited by 1