let m, n be Nat; :: thesis: ( not m * n = 362 or ( m = 1 & n = 362 ) or ( m = 2 & n = 181 ) or ( m = 181 & n = 2 ) or ( m = 362 & n = 1 ) )
assume A1: m * n = 362 ; :: thesis: ( ( m = 1 & n = 362 ) or ( m = 2 & n = 181 ) or ( m = 181 & n = 2 ) or ( m = 362 & n = 1 ) )
m divides m * n ;
then ( m = 1 or m = 2 or m = 181 or m = 362 ) by A1, Th23;
hence ( ( m = 1 & n = 362 ) or ( m = 2 & n = 181 ) or ( m = 181 & n = 2 ) or ( m = 362 & n = 1 ) ) by A1; :: thesis: verum