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Show that |{:(b+c,c+a,a+b),(c+a,a+b,b+c)...

Show that `|{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=2|{:(a,b,c),(b,c,a),(c,a,b):}|`

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