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# 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.

Related:

NecessaryAndSufficient

Synonym:

universal hypothesis

Major Section:

Reference

Type of Math Object:

Definition

Parent:

## Mathematics Subject Classification

03F07*no label found*03B05

*no label found*

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