The Trichotomy Property

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The Trichotomy Property
For any two real numbers, x and y, exactly one of these statements is true: x > y x = y x < y

For any two real numbers, x and y, exactly one of these statements is true:

x > y

x = y

x < y

For example, when x = 6, and y = 8, only the third statement is true.

When x = 2, and y = 2, only the second statement is true.

When x = 8, and y = 6, only the first statement is true.