Theorems · Definition · commutative algebra

HahnSeries.SummableFamily.powerSeriesFamily

{Γ : Type u_1} →
  {R : Type u_3} →
    {V : Type u_4} →
      [inst : AddCommMonoid Γ] →
        [inst_1 : LinearOrder Γ] →
          [IsOrderedCancelAddMonoid Γ] →
            [inst : CommRing R] →
              [inst_2 : CommRing V] → [Algebra R V] → HahnSeries Γ V → PowerSeries R → HahnSeries.SummableFamily Γ V ℕ

A summable family given by scalar multiples of powers of a positive order Hahn series. The scalar multiples are given by the coefficients of a power series.

Defined in

Mathlib.RingTheory.HahnSeries.HEval

Cited by

13 results in Mathlib

Foundations

Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidLinearOrderIsOrderedCancelAddMonoidCommRingCommRingAlgebra