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Necessary condition

Category
STANDARD MATHEMATICS
Definition
A condition that must hold whenever another statement is true.
Math Level
GENERAL
Index Excerpt
necessary condition

A necessary condition is something that must be true whenever a stated conclusion is true.

If a necessary condition fails, the conclusion cannot hold. But satisfying a necessary condition may still be far from enough to prove the conclusion.

See also: sufficient condition, equivalent condition, implication..

Related glossary terms

  1. [..]Equivalent conditionGLOSSARY · STANDARD MATHEMATICS
  2. [..]ImplicationGLOSSARY · STANDARD MATHEMATICS
  3. [..]Sufficient conditionGLOSSARY · STANDARD MATHEMATICS

Read this term in context

  1. [..]Equivalent conditionARTICLE · ART-RC-0041
  2. [..]ImplicationARTICLE · ART-RC-0042
  3. [..]Sufficient conditionARTICLE · ART-RC-0039