Theorems · Definition · ring theory

AddMonoidAlgebra.Monic

{R : Type u_1} →
  {A : Type u_3} →
    {B : Type u_5} →
      [inst : Semiring R] →
        [inst_1 : LinearOrder B] → [OrderBot B] → (A → B) → [Nonempty A] → AddMonoidAlgebra R A → Prop

An element f : R[A] is monic if its leading coefficient is one.

Defined in

Mathlib.Algebra.MonoidAlgebra.Degree

Cited by

12 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringLinearOrderOrderBotNonempty