Theorems · Theorem · ring theory

AddMonoidAlgebra.leadingCoeff_single

∀ {R : Type u_1} {A : Type u_3} {B : Type u_5} [inst : Semiring R] [inst_1 : LinearOrder B] [inst_2 : OrderBot B]
  {D : A → B} [inst_3 : Nonempty A],
  Function.Injective D → ∀ (a : A) (r : R), AddMonoidAlgebra.leadingCoeff D (AddMonoidAlgebra.single a r) = r

Defined in

Mathlib.Algebra.MonoidAlgebra.Degree

Cited by

2 results in Mathlib

Foundations

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

Assumes

SemiringLinearOrderOrderBotNonempty