Theorems · Definition · order theory

FiniteMulArchimedeanClass.withTopOrderIso

(M : Type u_1) →
  [inst : CommGroup M] →
    [inst_1 : LinearOrder M] →
      [inst_2 : IsOrderedMonoid M] → WithTop (FiniteMulArchimedeanClass M) ≃o MulArchimedeanClass M

Adding top to the type of finite classes yields the type of all classes.

Defined in

Mathlib.Algebra.Order.Archimedean.Class

Cited by

2 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupLinearOrderIsOrderedMonoid