Theorems · Definition · order theory

MulArchimedeanClass.subgroup

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

Make MulArchimedeanClass.subsemigroup a subgroup by assigning s = ⊤ with a junk value ⊥.

Defined in

Mathlib.Algebra.Order.Archimedean.Class

Cited by

6 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupLinearOrderIsOrderedMonoid