Theorems · Definition · order theory

FiniteArchimedeanClass.mk

{M : Type u_1} →
  [inst : AddCommGroup M] →
    [inst_1 : LinearOrder M] → [inst_2 : IsOrderedAddMonoid M] → (a : M) → a ≠ 0 → FiniteArchimedeanClass M

Create a FiniteArchimedeanClass from a non-zero element.

Defined in

Mathlib.Algebra.Order.Archimedean.Class

Cited by

28 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoid