Theorems · Theorem · commutative algebra

IsAdjoinRoot.algebraMap_apply

∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : Ring S] {f : Polynomial R} [inst_2 : Algebra R S]
  (h : IsAdjoinRoot S f) (x : R), (algebraMap R S) x = h.map (Polynomial.C x)

Defined in

Mathlib.RingTheory.IsAdjoinRoot

Cited by

2 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebra