Theorems · Definition · commutative algebra

HahnSeries.ofPowerSeriesAlg

(Γ : Type u_1) →
  (R : Type u_2) →
    [inst : CommSemiring R] →
      {A : Type u_3} →
        [inst_1 : Semiring A] →
          [inst_2 : Algebra R A] →
            [inst_3 : Semiring Γ] →
              [inst_4 : PartialOrder Γ] → [inst_5 : IsStrictOrderedRing Γ] → PowerSeries A →ₐ[R] HahnSeries Γ A

Casting a power series as a Hahn series with coefficients from a strictly ordered semiring.

Defined in

Mathlib.RingTheory.HahnSeries.PowerSeries

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringAlgebraSemiringPartialOrderIsStrictOrderedRing