
theorem Th37: :: cMR0:
for n being Nat, R being NatRelStr of n
 holds the carrier of R c= the carrier of Mycielskian R
proof
   let n be Nat, R be NatRelStr of n;
A1: the carrier of R = n by Def7;
 n <= n+n by NAT_1:12;
 then n <= 2*n+1 by NAT_1:12;
 then Segm n c= Segm(2*n+1) by NAT_1:39;
 hence the carrier of R c= the carrier of Mycielskian R by A1,Def7;
end;
