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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Jacobian.map_polynomial

∀ {R : Type r} [inst : CommRing R] (W' : WeierstrassCurve.Jacobian R) {S : Type s} [inst_1 : CommRing S] (f : R →+* S),
  (W'.map f).polynomial = (MvPolynomial.map f) W'.polynomial
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Basic
Cited by
6 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WeierstrassCurve.Jacobian.map_polynomialX · cited by 2Jacobian.map_polynomialXWeierstrassCurve.Jacobian.map_polynomialY · cited by 2Jacobian.map_polynomialYWeierstrassCurve.Jacobian.map_polynomialZ · cited by 2Jacobian.map_polynomialZWeierstrassCurve.Jacobian.map_equation · cited by 2Jacobian.map_equationWeierstrassCurve.Jacobian.Equation.map · cited by 1Equation.mapWeierstrassCurve.Jacobian.baseChange_polynomial · cited by 0Jacobian.baseChange_polyn…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomFinsupp · cited by 5255FinsuppMvPolynomial · cited by 2140MvPolynomialmap_mul · cited by 1137map_mulmap_add · cited by 964map_addmap_sub · cited by 565map_subMvPolynomial.X · cited by 552MvPolynomial.Xmap_pow · cited by 503map_powMvPolynomial.C · cited by 400MvPolynomial.CWeierstrassCurve.a₁ · cited by 272WeierstrassCurve.a₁WeierstrassCurve.Jacobian · cited by 232WeierstrassCurve.JacobianWeierstrassCurve.a₂ · cited by 216WeierstrassCurve.a₂WeierstrassCurve.a₃ · cited by 210WeierstrassCurve.a₃Jacobian.map_polynomialCITED BYCITES

Cites22

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Cited by6

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