I'm from non Wigan.
Small world! I too am from the complement of Wigan.
I think the useage has gone out but in military terms, a military formation or part of one that comes from a particular place would be referred to as the "complement" of or from that place: ie the Wigan complement. Also, "contingent is similar". So you're using it wrongly unless you're from Wigan, because it has a prioritised meaning, opposite to the one you seem to assume.
I used it in the correct mathematical sense, and MARattigan understood this. (There being no military context, that usage is irrelevant).
I understood it too in the sense you obviously intended. Then, after a minute, I realised that, of course, you were incorrect, since Wigan isn't a mathematical entity. It's a social one and therefore has more in common with the military context than you realise.
Chess will never be solved. Hmm...
I remember more than one of my elementary school teachers telling us that any time there's a statement containing the words 'always' or 'never' you better read it closely, because it's probably not right.
A woman will never ride on the back of a speckled hen, to Alpha Centauri. Your teacher wasn't right. It was just a moral lesson for you.
Your reasoning is wrong because you ignored the word "probably".