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Sufficient


A condition which, if true, guarantees that a result is also true. (However, the result may also be true if the condition is not met.) If a condition is both necessary and sufficient, then the result is said to be true iff ("if and only if") the condition holds.

For example, the condition that a decimal number n end in the digit 2 is a sufficient but not necessary condition that n be even.


See also

Iff, Implies, Necessary, Sufficiently Large

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References

Jeffreys, H. and Jeffreys, B. S. "Necessary: Sufficient." §1.036 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, pp. 10-11, 1988.

Referenced on Wolfram|Alpha

Sufficient

Cite this as:

Weisstein, Eric W. "Sufficient." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Sufficient.html

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