** 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.

** Formal introduction of a priest into possession of the position to which she or he has been presented and instituted

** Anthony Maria Zaccaria, priest ( d. 1539 )

** The housing association who owns the property sent a priest who blessed the house, and the phenomena temporarily abated for a couple of weeks before starting up again.

** Bonaventure Giffard, English Catholic priest ( d. 1734 )

** Daniello Bartoli, Italian Jesuit priest ( d. 1685 )

** Mieczysław Żywczyński, Polish historian and priest ( died 1978 )

** Henri Nouwen, Dutch Catholic priest and author ( b. 1932 )

** Josemaría Escrivá, Spanish priest ( d. 1975 )

** William Bathe, Jesuit priest ( d. 1614 )

** Pedro Arrupe, Spanish Catholic priest, Superior General of the Society of Jesus ( b. 1907 )

** Spanish priest Juan María Fernández y Krohn tries to stab Pope John Paul II with a bayonet during the latter's pilgrimage to the shrine at Fatima.

** Pietro Carrera, Sicilian chess player, priest and painter ( d. 1647 )

** Francis Xavier Lasance, American priest and author ( d. 1946 )

** Jean-Baptiste Chabot, French Roman Catholic priest and Syriac scholar ( d. 1948 )

** Joseph Butler, English priest and theologian ( b. 1692 )

** Sōgi, Buddhist priest and Japanese poet ( died 1502 )

** Ikkyu, Japanese Zen Buddhist priest and poet ( b. 1394 )

** Louis Abelly, French monk and priest ( d. 1691 )

** Jan Želivský, Hussite priest ( d. 1422 )

** Johann Tetzel, German Dominican priest ( d. 1519 )

** John Frith, English Protestant priest and martyr ( d. 1533 )

** William Joseph Chaminade, French Catholic priest ( b. 1761 )

** Maeda Gen ' i, Buddhist priest

** The English Roman Catholic priest, Thomas Atkinson ( born c. 1546 ) is hanged, drawn, and quartered at York, at age 70 ( he is beatified by Pope John Paul II on November 22, 1987 ).

** Thomas Abel, English priest ( martyred ) ( b. c. 1497 )