Theorems · Definition · order theory

FiniteMulArchimedeanClass.toUpperSetMulArchimedeanClass

{M : Type u_1} →
  [inst : CommGroup M] →
    [inst_1 : LinearOrder M] →
      [inst_2 : IsOrderedMonoid M] → UpperSet (FiniteMulArchimedeanClass M) ↪o UpperSet (MulArchimedeanClass M)

The upper set in MulArchimedeanClass M consisting of an upper set in FiniteMulArchimedeanClass M plus ⊤.

Defined in

Mathlib.Algebra.Order.Archimedean.Class

Cited by

3 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupLinearOrderIsOrderedMonoid