Theorems · Theorem · algebraic geometry

WeierstrassCurve.Affine.CoordinateRing.map_mk

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

Defined in

Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point

Cited by

2 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRing