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] by contraposition , this is the same thing as "whenever p is true, so is q". the logical relation between p and q is expressed as "if p, then q" and denoted "p ⇒ q" (p implies q). it may also be expressed as any of "p only if q", "q, if p", "q whenever p", and "q when p". one often finds, in mathematical
the assertion that "s is sufficient for n". another facet of this duality is that, as illustrated above, conjunctions (using "and") of necessary conditions may achieve sufficiency, while disjunctions (using "or") of sufficient conditions may achieve necessity. for a third facet, identify every mathematical...
https://en.wikipedia.org/wiki/Necessary_and_sufficient_conditions
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