Theorems · Definition · commutative algebra

HahnSeries.SummableFamily.mul

{Γ : Type u_1} →
  {R : Type u_3} →
    {α : Type u_5} →
      {β : Type u_6} →
        [inst : AddCommMonoid Γ] →
          [inst_1 : PartialOrder Γ] →
            [IsOrderedCancelAddMonoid Γ] →
              [inst : Semiring R] →
                HahnSeries.SummableFamily Γ R α →
                  HahnSeries.SummableFamily Γ R β → HahnSeries.SummableFamily Γ R (α × β)

A summable family given by pointwise multiplication of a pair of summable families.

Defined in

Mathlib.RingTheory.HahnSeries.Summable

Cited by

7 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidPartialOrderIsOrderedCancelAddMonoidSemiring