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 |
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Canonical name | UniversalAssumption |
Date of creation | 2013-03-22 17:11:47 |
Last modified on | 2013-03-22 17:11:47 |
Owner | Wkbj79 (1863) |
Last modified by | Wkbj79 (1863) |
Numerical id | 5 |
Author | Wkbj79 (1863) |
Entry type | Definition |
Classification | msc 03F07 |
Classification | msc 03B05 |
Synonym | universal hypothesis |
Related topic | NecessaryAndSufficient |