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Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.Equation.map

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Projective R} {S : Type s} [inst_1 : CommRing S] (f : R →+* S)
  {P : Fin 3 → R}, W'.Equation P → (W'.map f).Equation (⇑f ∘ P)
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Basic
Cited by
1 results in Mathlib
Foundations
Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRing
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WeierstrassCurve.Projective.Equation.baseChange · cited by 0Equation.baseChangeDFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomMvPolynomial · cited by 2140MvPolynomialmap_zero · cited by 1614map_zeroWeierstrassCurve.Projective · cited by 244WeierstrassCurve.Projecti…MvPolynomial.eval · cited by 157MvPolynomial.evalWeierstrassCurve.Projective.Equation · cited by 88Projective.EquationWeierstrassCurve.Projective.map · cited by 25Projective.mapWeierstrassCurve.Projective.polynomial · cited by 10Projective.polynomialMvPolynomial.eval_map · cited by 9MvPolynomial.eval_mapWeierstrassCurve.Projective.map_polynomial · cited by 6Projective.map_polynomialMvPolynomial.eval₂_comp · cited by 2MvPolynomial.eval₂_compEquation.mapCITED BYCITES

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