November 2, 2024
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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 – 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