The CPT theorem is a result that binds together parity, charge conjugation and time reversal.
Basically, this says that regardless of system, subsequent application of parity, charge conjugation and time reversal always leads to a system that exhibits identical behavior. Effectively, applying all three "does nothing". It is nevertheless possible to violate each one individually (e.g. C violation) or even in pairs (e.g. CP violation).
This theorem has three consequences:
- Mass and mean lifetime must be the same for any particle and its antiparticle.
- Antiparticles must have opposite quantum numbers compared to their particles.
- Violating CPT means violating the inherent structure of spacetime.