Theorems · Theorem · commutative algebra

HahnSeries.unit_aux

∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : LinearOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
  [inst_3 : CommRing R] (x : HahnSeries Γ R) {r : R},
  r * x.leadingCoeff = 1 → ∀ (oinv : Γ), oinv + x.order = 0 → 0 < (1 - (HahnSeries.single oinv) r * x).orderTop

Defined in

Mathlib.RingTheory.HahnSeries.Summable

Cited by

2 results in Mathlib

Foundations

Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidLinearOrderIsOrderedCancelAddMonoidCommRing