Theorems · Theorem · ring theory

AddMonoidAlgebra.sup_support_coeff_add_le

∀ {R : Type u_1} {A : Type u_3} {B : Type u_5} [inst : SemilatticeSup B] [inst_1 : OrderBot B] [inst_2 : Semiring R]
  (degb : A → B) (f g : AddMonoidAlgebra R A),
  (f + g).coeff.support.sup degb ≤ f.coeff.support.sup degb ⊔ g.coeff.support.sup degb

Defined in

Mathlib.Algebra.MonoidAlgebra.Degree

Cited by

5 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemilatticeSupOrderBotSemiring