Theorems · Definition · commutative algebra

HahnSeries.SummableFamily.smulFamily

{Γ : Type u_1} →
  {R : Type u_3} →
    {V : Type u_4} →
      {α : Type u_5} →
        [inst : PartialOrder Γ] →
          [inst_1 : AddCommMonoid R] →
            [inst_2 : AddCommMonoid V] →
              [SMulWithZero R V] → (α → R) → HahnSeries.SummableFamily Γ V α → HahnSeries.SummableFamily Γ V α

The summable family given by multiplying every series in a summable family by a scalar.

Defined in

Mathlib.RingTheory.HahnSeries.Summable

Cited by

2 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderAddCommMonoidAddCommMonoidSMulWithZero