Theorems · Theorem · commutative algebra

HahnSeries.ofPowerSeries_apply_coeff

∀ {Γ : Type u_1} {R : Type u_2} [inst : Semiring R] [inst_1 : Semiring Γ] [inst_2 : PartialOrder Γ]
  [inst_3 : IsStrictOrderedRing Γ] (x : PowerSeries R) (n : ℕ),
  ((HahnSeries.ofPowerSeries Γ R) x).coeff ↑n = (PowerSeries.coeff n) x

Defined in

Mathlib.RingTheory.HahnSeries.PowerSeries

Cited by

1 results in Mathlib

Foundations

Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringPartialOrderIsStrictOrderedRing