Answered: For example, if I wanted to prove this…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Given the statement: If the integer a divides the integer b and the integer b divides the integer a then a = b.

1. Formalize the statement (assuming all integers are positive).
2. Prove the statement is true using the combined proof methods, "proof by contradiction" and "proof using definitions".

For example, if I wanted to prove this statement using a direct proof, I
would start as follows:
Va, be Z+, (a || b) ^ (b || a) → a = b To be proved
Notice that I used "||" in place of "|" as a symbol for "divides." It is

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