# universal assumption

Given a biconditional statement, a universal assumption is an assumption that can be used in a proof of both the necessity and sufficiency directions.

For an example of a universal assumption, please see the entry continuous functions on the extended real numbers.

Title universal assumption UniversalAssumption 2013-03-22 17:11:47 2013-03-22 17:11:47 Wkbj79 (1863) Wkbj79 (1863) 5 Wkbj79 (1863) Definition msc 03F07 msc 03B05 universal hypothesis NecessaryAndSufficient