Theorems – Introduction
The theorems in this section are derived from the theorems selected in Axioms for Real Numbers as interpreted for Wave Numbers. These theorems can be proved from the axioms in the order listed. In all of these statements, a, b, c, d represent arbitrary Opposite Values. Theorems Next: Theorems – Zero Previous: General Axioms
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. Next: Ratios Previous: Inequalities
Theorems – Squares
The theorems of squares are derived from the theorems in Axioms for Real Numbers as interpreted for Wave Numbers. Next: Inequalities Previous: Quotients
Theorems – Inequalities
The theorems of inequalities are derived from the theorems in Axioms for Real Numbers as interpreted for Wave Numbers. Transitivity Other Properties Next: Order Properties of Integers Previous: Squares
Theorems – Quotients
The theorems of quotients are derived from the theorems in Axioms for Real Numbers as interpreted for Wave Numbers. Next: Squares Previous: Multiplicative Inverses
Theorems – Reciprocals and Multiplicative Inverses
The theorems of reciprocals and multiplicative inverses are derived from the theorems in Axioms for Real Numbers as interpreted for Wave Numbers. Next: Quotients Previous: Distributive
Theorems – Distributive
The distributive theorems are derived from the theorems in Axioms for Real Numbers as interpreted for Wave Numbers. Next: Multiplicative Inverses Previous: Flipping
Theorems – Flipping
The theorems of flipping are derived from the theorems in Axioms for Real Numbers as interpreted for Wave Numbers. Next: Distributive Previous: Zero
Theorems – Zero
The theorems of zero are derived from the theorems in Axioms for Real Numbers as interpreted for Wave Numbers. Next: Flipping Previous: Introduction