** 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.

** DI — Defensive Indifference: if the catcher does not attempt to throw out a runner ( usually because the base would be insignificant ), the runner is not awarded a steal.

** Darfur peace process, an attempt to resolve the War in Darfur, finilized in 2009

** Paris Peace Accords, 1973 attempt to resolve the War in Vietnam

** In the UK, a protective trust is a life interest which terminates on the happening of a specified event such as the bankruptcy of the beneficiary or any attempt by him to dispose of his interest.

** The Bay of Pigs Invasion ( 1961 ) – an unsuccessful attempt by a CIA-trained force of Cuban exiles to invade southern Cuba with support from US government armed forces, to overthrow the Cuban government of Fidel Castro.

** In Uzbekistan, an apparent assassination attempt against President Islam Karimov takes place at government headquarters.

** The murder of a 3-year-old girl in Blackburn, England leads to the fingerprinting of more than 40, 000 men in the city in an attempt to find the murderer.

** WWII: Over 500 Japanese prisoners-of-war attempt a mass breakout from the Cowra POW Camp.

** Resistance fighters ambush and attempt to execute SS general Hanns Albin Rauter, the arch-persecutor of the Dutch.

** Thousands storm the Stasi headquarters in East Berlin in an attempt to view their government records.

** The parliament building and a government television house in Port of Spain, Trinidad and Tobago are stormed by the Jamaat al Muslimeen in a coup d ' état attempt which lasts 5 days.

** Vernon Jordan is shot and critically injured in an assassination attempt in Fort Wayne, Indiana by Joseph Paul Franklin ( the first major news story for CNN ).

** Bob Marley and his manager Don Taylor are shot in an assassination attempt in Kingston, Jamaica.

** A Soviet-backed communist coup attempt fails in Estonia.

** Yekatit 12: During a public ceremony at the Viceregal Palace ( the former Imperial residence ) in Addis Ababa, Ethiopia, two Eritrean nationalists attempt to kill viceroy Rodolfo Graziani with a number of grenades.

** Amelia Earhart and navigator Fred Noonan disappear after taking off from New Guinea during Earhart's attempt to become the first woman to fly around the world.

** Vietnam War – Operation Ivory Coast: A joint Air Force and Army team raids the Son Tay prison camp in an attempt to free American POWs thought to be held there ( no Americans are killed, but the prisoners have already moved to another camp ; all U. S. POWs are moved to a handful of central prison complexes as a result of this raid ).

** In Chipping Norton, England rioters attempt to free the Ascott Martyrs – sixteen women sentenced to imprisonment for attempting to dissuade strikebreakers.

** Anti-war militants attempt to disrupt government business in Washington, D. C .; police and military units arrest as many as 12, 000, most of whom are later released.

** The Indonesian army, led by General Suharto, crushes an alleged communist coup attempt ( see Transition to the New Order and 30 September Movement ).

** Chilean dictator Augusto Pinochet survives an assassination attempt by the FPMR ; five of his bodyguards are killed.

** Helena, Montana is founded after four prospectors ( the so-called Four Georgians ) discover gold at Last Chance Gulch ; it is their last and agreed final attempt at weeks of trying to find gold in the northern Rockies.

** A failed coup attempt against President of Haiti Prosper Avril leads to a standoff between mutinous troops and the government which ended on April 10 with the government regaining control of the country.

** A military coup attempt begins in the Philippines against the government of Philippine President Corazon C. Aquino, ending by December 9.

** Daniel Boone leads the first attempt by British colonists to establish a settlement in Kentucky, but is turned back in an attack by American Indians in which his son is killed.