Justify Definition: Proofs - Meaning & Example

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In the context of proofs, "justify" means to provide a rigorous demonstration that supports a statement or theorem, rather than merely showing an example. Justification requires a comprehensive proof that holds true for all cases, rather than isolated instances. Terms like "substantiate" or "confirm" may imply support but do not equate to justification. Consequently, presenting an example alone is insufficient to justify a theorem. A clear understanding of this distinction is crucial in mathematical discourse.
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when dealing with proofs, what does the word "Justify" mean? does it mean show an example or prove for all cases?
 
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it means prove it. An example might "substantiate", or "confirm" a statement, or "lend credence" to it, but would not "justify" it.
 
so showing an example would not be enough to "justify" a therom?
 
i only answer each question once.
 
yeah, mathwonk kind of just answered that questoin
 

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