** Trichotomy: If two sets are given, then either they have the same cardinality, or one has a smaller cardinality than the other.

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).

** If a team is penalized in the final minute of a half and the penalty causes the clock to stop, the opposing team now has the right to have 10 seconds run off the clock in addition to the yardage penalty.

** Mind Transferral: If Xavier were to die, he could transfer his mind and powers to a host body.

** " If It Works, It's Not AI: A Commercial Look at Artificial Intelligence startups "

** If O takes center ( best move for him ), X should take the corner opposite the original, and proceed as detailed above.

** If O plays a corner or side-middle first, X is guaranteed to win:

** If the tie is between two clubs, then the tie is broken using the head-to-head goal difference ( without away goals rule )

** If the tie is between more than two clubs, then the tie is broken, using the games the clubs have played against each other:

** If the Competition Committee removes a penalty, the points are also removed

** If an error occurs at any state of the FSM process, the BGP session is terminated immediately and returned to the Idle state.

** If an error occurs, BGP moves to the Active state.

** If the router was unable to establish a successful TCP session, then it ends up in the Active state.

** If it is unsuccessful again, the FSM is reset to the Idle state.

** If there is an error it is because one of the fields in the Open message doesn ’ t match between the peers, e. g. BGP version mismatch, MD5 password mismatch, the peering router expects a different My AS.

** If there is no error, a Keepalive message is sent, various timers are set and the state is changed to OpenConfirm.

** If a Keepalive message is received and no timer has expired before reception of the Keepalive, BGP transitions to the Established state.

** If a timer expires before a Keepalive message is received, or if an error condition occurs, the router transitions back to the Idle state.

** If there is any error in the Update message then a Notification message is sent to the peer, and BGP transitions back to the Idle state.

** If a timer expires before a Keepalive message is received, or if an error condition occurs, the router transitions back to the Idle state.

** If A < sup > p </ sup > B and B < sup > p </ sup > C then A < sup > p </ sup > C.

** If A is preferred to B and C is infinitesimally close to B then A is preferred to C.

** April 20 – Cicero, in Rome, writes to Varro " If our voices are no longer heard in the Senate and in the Forum, let us follow the example of the ancient sages and serve our country through our writings, concentrating on questions of ethics and constitutional law.

** If the maximum DNL error is less than 1 LSB, then the converter is guaranteed to be monotonic.

** Biosecurity training video

** Social conditioning, operant conditioning training individuals to act in a society

** 4th Foreign Regiment ( 4 < sup > e </ sup > RE ), based in Castelnaudary ( training )

** 5-year further education ( enseignement de type long ) at master level ( one or two more years for doctoral training )

** Naval NCO Academy " Walter Steffens " in Parow ( naval training of NCOs and seamen )

** Naval Officers Academy " Karl Liebknecht " in Stralsund ( training of naval officers )

** NCO School for Support Services at Dänholm near Stralsund ( technical training of NCOs )

** Free training courses

** 1st Royal Tank Regiment-Armoured and training / demonstration

** Ehime Maru, a fishing training ship that collided with the USS Greeneville in 2001

** professional, a member of a vocation founded upon specialized educational training

** Providing expertise through advice, training and guidance to improve the standards and skills of people working in heritage, practical conservation and access to resources.

** Profession, a vocation founded upon specialized training

** Tom and Nancy Osborne Athletic Complex: Strength training, conditioning, athletic health and athletic administration

** 27th Bomb Group ( Light ) ( without assigned aircraft, 3 B-18 attached for training )

** Dettingen Company, a training company at the Royal Military Academy Sandhurst.

** 3rd Squadron, 1st Cavalry Regiment " Blackhawk " Soldiers from the 3rd Squadron, 1st Cavalry Regiment, 3rd Heavy Brigade Combat Team of the 3rd Infantry training at Fort Irwin

** Ushiwakamaru, about Yoshitsune's youth and training with the tengu of Kurama.

** Commercial driver's license training ( USA )

** Ambachtsschool ( vocational training )-comparable with vmbo-gemengde leerweg, but there was more emphasis on thorough technical knowledge ( ages 12 – 16 ).

** Programming, and training programmers, may be easier.

: Note: ** Combat units redeployed from Europe, turned in aircraft at Bradley then were transferred to Second Air Force transition schools in the Midwest for B-29 Superfortress training prior to deployment to Twentieth Air Force in the Western Pacific.

** In the Israeli Defence Forces, Sapper 06 ( פלס 06 ) is a military profession code denoting a combat engineer who has graduated from basic general engineering training.

** In the Finnish army, pioneeri is the private equivalent rank in the army for a soldier who has completed the basic combat engineering training.

** In the British, Canadian and Australian armies, an assault pioneer is an infantry soldier with some limited combat engineer training in clearing obstacles during assaults and light engineering duties.