I think you are asking for the same rows values as the first query, without all the NULLs. The NON EMPTY instruction any row that contains at least 1 non null column. In you case the address line 1 fits that criteria so all customers are now valid.

If you change to use the NONEMPTY function instead then you can target a measure when checking for NONEMPTY values as below:

with member [Measures].AddressLine1

as [Customer].[Customer].Properties( "Address Line 1" )

select {[Measures].[Net Value],[Measures].AddressLine1} on 0,

NONEMPTY ([Customer].[Customer].[Customer].Members,

[Measures].[Net Value]) on 1

from (select (

[Transaction Date].[Date].&[2013-01-25T00:00:00]

) on 0 from [Invoice And Credits])

Fitz