Theorems · Theorem · algebraic geometry

WeierstrassCurve.Affine.CoordinateRing.map_smul

∀ {R : Type r} {S : Type s} [inst : CommRing R] [inst_1 : CommRing S] {W' : WeierstrassCurve.Affine R} (f : R →+* S)
  (x : Polynomial R) (y : W'.CoordinateRing),
  (WeierstrassCurve.Affine.CoordinateRing.map W' f) (x • y) =
    Polynomial.map f x • (WeierstrassCurve.Affine.CoordinateRing.map W' f) y

Defined in

Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point

Cited by

1 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRing