Theorems · Theorem · ring theory

AddMonoidAlgebra.Monic.ne_zero

∀ {R : Type u_1} {A : Type u_3} {B : Type u_5} [inst : Semiring R] [inst_1 : LinearOrder B] [inst_2 : OrderBot B]
  {p : AddMonoidAlgebra R A} {D : A → B} [inst_3 : Nonempty A] [Nontrivial R], AddMonoidAlgebra.Monic D p → p ≠ 0

Defined in

Mathlib.Algebra.MonoidAlgebra.Degree

Cited by

4 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringLinearOrderOrderBotNonemptyNontrivial