Theorems · Definition · order theory

HahnSeries.finiteArchimedeanClassOrderHomInvLex

(Γ : Type u_1) →
  (R : Type u_2) →
    [inst : LinearOrder Γ] →
      [inst_1 : LinearOrder R] →
        [inst_2 : AddCommGroup R] →
          [inst_3 : IsOrderedAddMonoid R] →
            Lex (Γ × FiniteArchimedeanClass R) →o FiniteArchimedeanClass (Lex (HahnSeries Γ R))

The inverse of finiteArchimedeanClassOrderHomLex.

Defined in

Mathlib.RingTheory.HahnSeries.Lex

Cited by

2 results in Mathlib

Foundations

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

Assumes

LinearOrderLinearOrderAddCommGroupIsOrderedAddMonoid