Theorems · Theorem · algebraic geometry

WeierstrassCurve.Jacobian.polynomialY_eq

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Jacobian R},
  W'.polynomialY =
    MvPolynomial.C 2 * MvPolynomial.X 1 + MvPolynomial.C W'.a₁ * MvPolynomial.X 0 * MvPolynomial.X 2 +
      MvPolynomial.C W'.a₃ * MvPolynomial.X 2 ^ 3

Defined in: Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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Cites27

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coestatement and proof · cited by 62,936
CommRingstatement and proof · cited by 17,173
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Finsuppstatement · cited by 5,255
Nat.cast_oneproof · cited by 2,501
MvPolynomialstatement and proof · cited by 2,140
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map_addproof · cited by 964
one_ne_zeroproof · cited by 885
map_subproof · cited by 565
MvPolynomial.Xstatement and proof · cited by 552

Cited by1

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WeierstrassCurve.Jacobian.eval_polynomialYproof · cited by 4