define the terms therom and proof
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Theorem : A statement that has been proven to be true. • Proposition : A less important but nonetheless interesting true statement. • Lemma: A true statement used in proving other true statements (that is, a less important theorem that is helpful in the proof of other results).
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Hope this helps you mate xD
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....A proof fails to be valid if even one of its steps is untrue. Each step in the proof must be able to be verified using axioms, previously proved theorems, definitions, and rules of inference.
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