reserve X for set;
reserve a,b,c,k,m,n for Nat;
reserve i for Integer;
reserve r for Real;
reserve p for Prime;

theorem Th46:
  13 divides 2|^1105-2
  proof
    4095 = 13*315;
    then 2|^12,1 are_congruent_mod 13 by Lm12;
    then 2|^12|^92,1|^92 are_congruent_mod 13 by GR_CY_3:34;
    then 2|^1104*2|^1,1*2 are_congruent_mod 13 by Lm1132,INT_4:11;
    hence thesis by Lm1128;
  end;
