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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Affine.map_polynomial

∀ {R : Type r} [inst : CommRing R] (W : WeierstrassCurve.Affine R) {S : Type s} [inst_1 : CommRing S] (f : R →+* S),
  (W.map f).polynomial = Polynomial.map (Polynomial.mapRingHom f) W.polynomial
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Basic
Cited by
4 results in Mathlib
Foundations
Depth 107 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.Affine.map_equation · cited by 2Affine.map_equationWeierstrassCurve.Affine.Equation.map · cited by 1Equation.mapWeierstrassCurve.Affine.map_addPolynomial · cited by 1Affine.map_addPolynomialWeierstrassCurve.Affine.baseChange_polynomial · cited by 0Affine.baseChange_polynom…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomPolynomial · cited by 5681PolynomialPolynomial.X · cited by 1639Polynomial.XPolynomial.C · cited by 1598Polynomial.Cmap_mul · cited by 1137map_mulmap_add · cited by 964map_addPolynomial.map · cited by 806Polynomial.mapmap_pow · cited by 503map_powWeierstrassCurve.a₁ · cited by 272WeierstrassCurve.a₁WeierstrassCurve.a₂ · cited by 216WeierstrassCurve.a₂WeierstrassCurve.a₃ · cited by 210WeierstrassCurve.a₃WeierstrassCurve.a₄ · cited by 187WeierstrassCurve.a₄WeierstrassCurve.Affine · cited by 174WeierstrassCurve.AffineAffine.map_polynomialCITED BYCITES

Cites25

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Cited by4

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