Theorems · Definition · algebraic geometry
WeierstrassCurve.Projective.polynomialX
{R : Type r} → [inst : CommRing R] → WeierstrassCurve.Projective R → MvPolynomial (Fin 3) RThe partial derivative W_X(X, Y, Z) with respect to X of the polynomial W(X, Y, Z)
associated to a Weierstrass curve W in projective coordinates.
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- MvPolynomialstatement · cited by 2,140
- WeierstrassCurve.Projectivestatement and proof · cited by 244
- MvPolynomial.pderivproof · cited by 71
- WeierstrassCurve.Projective.polynomialproof · cited by 10
Cited by21
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.Nonsingularproof · cited by 37
- WeierstrassCurve.Projective.dblUproof · cited by 11
- WeierstrassCurve.Projective.eval_polynomialXstatement · cited by 6
- WeierstrassCurve.Projective.dblX_eq'statement and proof · cited by 2
- WeierstrassCurve.Projective.map_polynomialXstatement · cited by 2
- WeierstrassCurve.Projective.dblX_of_Y_eqproof · cited by 2
- WeierstrassCurve.Projective.dblX_of_Z_ne_zeroproof · cited by 2
- WeierstrassCurve.Projective.negDblY_eq'statement and proof · cited by 2
- WeierstrassCurve.Projective.negDblY_of_Y_eq'statement and proof · cited by 2
- WeierstrassCurve.Projective.nonsingular_iff_of_Y_eq_negYstatement and proof · cited by 1
- WeierstrassCurve.Projective.nonsingular_iff_of_Z_ne_zerostatement and proof · cited by 1
- WeierstrassCurve.Projective.dblX_eqstatement · cited by 1