Theorems · Theorem · commutative algebra

MvPolynomial.mapEquivMonic_symm_map

∀ {R : Type u_1} {S : Type u_2} {T : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
  [inst_3 : Algebra R S] [inst_4 : Algebra R T] (n : ℕ) (p : Polynomial.MonicDegreeEq S n) (g : S →ₐ[R] T),
  (MvPolynomial.mapEquivMonic R T n).symm (p.map ↑g) = g.comp ((MvPolynomial.mapEquivMonic R S n).symm p)

Defined in

Mathlib.RingTheory.Polynomial.UniversalFactorizationRing

Cited by

1 results in Mathlib

Foundations

Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingAlgebraAlgebra