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Default Min Function

Dear Forum, I would be grateful if anyone could help me find a solution to
the following problem;

I have a column of data that follows the format below. I would like to use
the min function (or a suggested alternative) that would give me the minimum
value excluding any zero values, i.e if a zero value occurs I want the result
to ignore this and give me the next minimum value, i.e in the context of the
data below 1 would be the correct result returned;

0
1
0
3
5
1
7

Many Thanks
Matt

 
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