Homotopy Type Theory
ordered abelian group > history (Rev #2)
Definition
With strict order
An ordered abelian group is an abelian group with a strict order and a family of dependent terms
With positivity
An ordered abelian group is an abelian group with a predicate such that
- for every term , if is not positive and is not positive, then
- for every term , if is positive, then is not positive.
- for every term , , if is positive, then either is positive or is positive.
- for every term , , if is positive and is positive, then is positive
Examples
See also
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