Mathematical logic Formula set properties. Prove that from the corollary of the compactness theorem, it is possible to prove the compactness theorem itself. Please be as clear as possible. Use definitions if necessary. Show and explain all the steps of the proof. Thank you very much.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 24E
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Mathematical logic

Formula set properties.

Prove that from the corollary of the compactness theorem, it is possible to prove the compactness theorem itself.

Please be as clear as possible. Use definitions if necessary. Show and explain all the steps of the proof. Thank you very much.

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