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On Tue, 30 Nov 2010, David Kastrup wrote:
>
> And of course I want exactly one of the following to hold for any
> definite pair of numbers:
>
> a<b, a>b, a==b

In IEEE754 a and b can also be unordered.

> And I want a<=b to be the same as (a<b or a==b) and as not (a>b).

You're out of luck there :-) The former is true but not the latter.

Tony.
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