Theorems – Order Properties of Integers

The theorems of order properties of integers are derived from the theorems in Axioms for Real Numbers as interpreted for Wave Numbers.

1. 1?^{^} is the smallest ?^{^} integer.
2. 1?^v is the smallest ?^v integer.
3. If m?^? and n?^? are integers such that m?^? > n?^?, then m?^? ≥ n?^? +1?^?.
4. There does not exist a largest integer.
5. These theorems apply to the integers of all other Opposite Types.

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