2. Consider minEN. he devote by god (min), the greatest common divisor of min. For instance, god (2, 5)= 1 since the divisone oh 2 are 2 and 1 while the divisors of s and 5 and 1. len the ather hand since the divisors by 8 are 1, 2, 4 , 8 while the divison of 12 one 1, 2, 3, 4 , 6 , them god ( 8, 12 ) = 4. Let A = 2 ( min ) ElN X N / ged(min ) =1] , and define the relation p on A waving the made ( a, b) p ( cid) ing and only ing adsbc. ( Have S is the usual " less than or equal to " relations . ) Prove that is a totally andered net