X is an infinite well-ordered set without maximum element. Show that any element of X has an immediate successor.
X is an infinite well-ordered set without maximum element. Show that any element of X has an immediate successor.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 1TFE: Label each of the following statements as either true or false.
The Well-Ordering Theorem implies...
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X is an infinite well-ordered set without maximum
element. Show that any element of X has an immediate successor.
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