::( P ( 0 ) ∧ ∀ x ( P ( x ) → P ( x + 1 ))) → ∀ y P ( y ).

::( q < sub > 1 </ sub >, w, x < sub > 1 </ sub >) ( p < sub > 1 </ sub >, )

::( p < sub > 1 </ sub >,, x < sub > 2 </ sub >) ( p < sub > 2 </ sub >, )

::( p < sub > m </ sub >,, ) ( p < sub > m + 1 </ sub >, y < sub > n </ sub >)

::( p < sub > m + 1 </ sub >,, ) ( p < sub > m + 2 </ sub >, y < sub > n-1 </ sub >)

::( p < sub > m + n-1 </ sub >,, ) ( q < sub > 2 </ sub >, y < sub > 1 </ sub >)

::( 1 ) If, by reason of death, resignation, removal from office, inability, or failure to qualify, there is neither a President nor Vice President to discharge the powers and duties of the office of President, then the Speaker of the House of Representatives shall, upon his resignation as Speaker and as Representative in Congress, act as President.

::( 1 ) If, by reason of death, resignation, removal from office, inability, or failure to qualify, there is no President pro tempore to act as President under subsection ( b ) of this section, then the officer of the United States who is highest on the following list, and who is not under disability to discharge the powers and duties of the office of President shall act as President: Secretary of State, Secretary of the Treasury, Secretary of Defense, Attorney General, Secretary of the Interior, Secretary of Agriculture, Secretary of Commerce, Secretary of Labor, Secretary of Health and Human Services, Secretary of Housing and Urban Development, Secretary of Transportation, Secretary of Energy, Secretary of Education, Secretary of Veterans Affairs, Secretary of Homeland Security.

::( 2 ) An individual acting as President under this subsection shall continue so to do until the expiration of the then current Presidential term, but not after a qualified and prior-entitled individual is able to act, except that the removal of the disability of an individual higher on the list contained in paragraph ( 1 ) of this subsection or the ability to qualify on the part of an individual higher on such list shall not terminate his service.

::( 3 ) The taking of the oath of office by an individual specified in the list in paragraph ( 1 ) of this subsection shall be held to constitute his resignation from the office by virtue of the holding of which he qualifies to act as President.

::( 1 ) with intent to usurp or override lawful military authority, refuses, in concert with any other person, to obey orders or otherwise do his duty or creates any violence or disturbance is guilty of mutiny ;

::( 1, 5 ) ( 2, 5 ) ( 3, 5 )

::( 1, 4 ) ( 2, 4 ) ( 3, 4 )

::( 1, 3 ) ( 2, 3 ) ( 3, 3 )

::( 1 ) In this Act " terrorism " means the use or threat of action where -

::( 3 ) The use or threat of action falling within subsection ( 2 ) which involves the use of firearms or explosives is terrorism whether or not subsection ( 1 )( b ) is satisfied.

::( 1 ) Engages in fighting or other violent conduct or in conduct creating the threat of imminent fighting or violence ; or

::( 1 ) intentionally or knowingly:

::( 1 ) entering or taking anything in his dwelling ;

::( 1 ) to perform or display it at a place open to the public or at any place where a substantial number of persons outside of a normal circle of a family and its social acquaintances is gathered ; or

::( 2 ) to transmit or otherwise communicate a performance or display of the work to a place specified by clause ( 1 ) or to the public, by means of any device or process, whether the members of the public capable of receiving the performance or display receive it in the same place or in separate places and at the same time or at different times.

::( 2Cyl ) < math > x ^ 2 + y ^ 2 < 1

::( a ) even though a legal definition suffices, mandatory hospitalisation can be ordered in cases of murder ; if the defendant is not medically insane, there is little point in requiring medical treatment.

::( 2 ) if his discharge of the powers and duties of the office is founded in whole or in part on the inability of the President or Vice President, then he shall act only until the removal of the disability of one of such individuals.

::( B ) misdemeanor if the individual has been convicted of

::( 2 ) Action falls within this subsection if it -

::( 1 ) When the death of any person ensues within three years as a proximate result of injury proximately caused by the driving of any vehicle by any person, the driver is guilty of vehicular homicide if the driver was operating a motor vehicle:

::( AH read Malachi only if the Shabbat is also the eve of Passover, otherwise the regular haftarah )

::( b ) if no official conversion rate is set out in that publication for that currency, the conversion rate that the person or entity would use for that currency in the normal course of business at the time of the importation or exportation.

::( As a counterexample, if one does not assume continuity or measurability, it is possible to prove the existence of an everywhere-discontinuous, non-measurable function with this property by using a Hamel basis for the real numbers over the rationals, as described in Hewitt and Stromberg.

::( c ) that a mutual understanding is maintained on the basis of the shared presupposition that any validity claim agreed upon could be justified, if necessary, by making recourse to good reasons.

::( And the progressive powers perhaps no less

::( 2 ) The same rule shall apply in the case of the death, resignation, removal from office, or inability of an individual acting as President under this subsection.

::( c ) holding an office of profit ;

::( d ) having been nominated for election to Parliament or the office of President or having acted as election agent to a person so nominated, failing to lodge any return of election expenses required by law within the time and in the manner so required ;

::( g ) being disqualified under any law relating to offences in connection with elections to Parliament or the office of President by reason of having been convicted of such an offence or having in proceedings relating to such an election been proved guilty of an act constituting such an offence.

::( 3 ) Elected or appointed to an office of prominence in the national or state government.

::( This is not Mathematics.

::( d ) the person has refused or is unable to consent to the necessary treatment for the mental illness ; and

::( Rejoice and sing, France: the lily is bathed with heavenly dew.

::( i ) X is second countable.

::( ii ) The space of continuous real-valued functions on X with the supremum norm is separable.

::( iii ) X is metrizable.

::( g ) instigates a person who is not an Australian citizen to make an armed invasion of the Commonwealth or a Territory of the Commonwealth ; or

::( A ) is likely to cause confusion, or to cause mistake, or to deceive [...] as to the origin, sponsorship, or approval of his or her goods, services, or commercial activities by another person, or

::( 2 ) with intent to cause the overthrow or destruction of lawful civil authority, creates, in concert with any other person, revolt, violence, or other disturbance against that authority is guilty of sedition ;

::( 3 ) fails to do his utmost to prevent and suppress a mutiny or sedition being committed in his presence, or fails to take all reasonable means to inform his superior commissioned officer or commanding officer of a mutiny or sedition which he knows or has reason to believe is taking place, is guilty of a failure to suppress or report a mutiny or sedition.

::( i ) The vector sum of all external forces is zero ;

::( ii ) The sum of the moments of all external forces about any line is zero.

::( A ) the offender or the person seized or detained is a national of the United States ;

::( B ) the offender is found in the United States ; or