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Simplify with NestedLessLess?


Please excuse if this has been answered before, but I can't find it.

Is there some way to do a Simplify with assumptions using a 
NestedLessLess or something similar? For example:

d=a+b
Simplify[d,NestedLessLess[a,b]]

Answer is:
a+b

Answer should be:
b

Thanks,

Dave


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