 reserve G, A for Group;
 reserve phi for Homomorphism of A,AutGroup(G);
 reserve G, A for Group;
 reserve phi for Homomorphism of A,AutGroup(G);
reserve G1,G2 for Group;

theorem ThTrivialCyclicGroupCriterion1: :: TH80
  for n being non zero Nat
  holds INT.Group n is trivial iff n = 1
proof
  let n be non zero Nat;
  INT.Group n is trivial iff card (INT.Group n) = 1 by ThTrivialCriterion;
  hence thesis;
end;
