Assertion: absolute value | /r/HasProperty | equivalent
Facets:
value: for all x.
type: OTHER
Source sentences:
text: If |x| 1 and |x| 2 are two absolute values on the same integral domain D, then the two absolute values are equivalent if |x| 1 < 1 if and only if |x| 2 < 1 for all x. If two nontrivial absolute values are equivalent, then for some exponent