Discrete Math Prove that Z has no smallest element.

aflacatn

aflacatn

Answered question

2021-08-20

Discrete Math
Prove that Z has no smallest element.

Answer & Explanation

opsadnojD

opsadnojD

Skilled2021-08-21Added 95 answers

Step 1
we will prove it by contradiction,
Suppose x belongs to Z is the smallest element.
Step 2
Now, consider an element (x1) from the set Z,
As, (x1)<x, so x can not be the smallest element now, which results into a contradiction,
Hence, Z has no smallest element.

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