22:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.786071:0.236739:0.786071:0.236739:0.752124:0.175844:0.752124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Grafica funciones reales; realiza operaciones con funciones aplicando las propiedades de los números reales en problemas reales e :@0.256865:0.768817:0.877665:0.768817:0.877665:0.758388:0.256865:0.758388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotéticos. (I.4.) (Ref. I.M.5.3.1.):@0.256865:0.779378:0.399191:0.779378:0.399191:0.768949:0.256865:0.768949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.115209:0.824793:0.130227:0.824793:0.130227:0.807657:0.115209:0.807657:0.000000:0.000000
 :@0.130227:0.824793:0.134134:0.824793:0.134134:0.808169:0.130227:0.808169:0.000000
Suma:@0.148452:0.824793:0.191942:0.824793:0.191942:0.808169:0.148452:0.808169:0.000000:0.000000:0.000000:0.000000
 las siguientes funciones.:@0.191942:0.824793:0.372846:0.824793:0.372846:0.808404:0.191942:0.808404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.148452:0.848512:0.167175:0.848512:0.167175:0.831612:0.148452:0.831612:0.000000:0.000000:0.000000
f x:@0.181696:0.848512:0.199994:0.848512:0.199994:0.832151:0.181696:0.832151:0.000000:0.000000:0.000000
( ) :@0.186395:0.849190:0.210738:0.849190:0.210738:0.833617:0.186395:0.833617:0.000000:0.000000:0.000000:0.000000
= 2x + 3,     :@0.210738:0.848512:0.294086:0.848512:0.294086:0.832123:0.210738:0.832123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.294086:0.848512:0.316955:0.848512:0.316955:0.832151:0.294086:0.832151:0.000000:0.000000:0.000000
( ) :@0.303355:0.849190:0.327698:0.849190:0.327698:0.833617:0.303355:0.833617:0.000000:0.000000:0.000000:0.000000
=  2:@0.327698:0.848512:0.355450:0.848512:0.355450:0.832123:0.327698:0.832123:0.000000:0.000000:0.000000:0.000000
x:@0.342717:0.848512:0.350180:0.848512:0.350180:0.832151:0.342717:0.832151:0.000000
b):@0.537392:0.848512:0.553608:0.848512:0.553608:0.831612:0.537392:0.831612:0.000000:0.000000
    :@0.553584:0.848512:0.569727:0.848512:0.569727:0.832123:0.553584:0.832123:0.000000:0.000000:0.000000:0.000000
f x:@0.569727:0.848512:0.588025:0.848512:0.588025:0.832151:0.569727:0.832151:0.000000:0.000000:0.000000
( ) :@0.574426:0.849190:0.598769:0.849190:0.598769:0.833617:0.574426:0.833617:0.000000:0.000000:0.000000:0.000000
= 2x3 + 5x + 3,     :@0.598769:0.848512:0.723210:0.848512:0.723210:0.832123:0.598769:0.832123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.723210:0.848512:0.746079:0.848512:0.746079:0.832151:0.723210:0.832151:0.000000:0.000000:0.000000
( ) :@0.732479:0.849190:0.756822:0.849190:0.756822:0.833617:0.732479:0.833617:0.000000:0.000000:0.000000:0.000000
=  2 + x:@0.756822:0.848512:0.811534:0.848512:0.811534:0.832123:0.756822:0.832123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.771841:0.848512:0.779304:0.848512:0.779304:0.832151:0.771841:0.832151:0.000000
 :@0.148452:0.923182:0.152267:0.923182:0.152267:0.906281:0.148452:0.906281:0.000000
 :@0.488491:0.923193:0.492305:0.923193:0.492305:0.906292:0.488491:0.906292:0.000000
         :@0.537361:0.923193:0.571691:0.923193:0.571691:0.906292:0.537361:0.906292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115908:0.576102:0.273030:0.576102:0.273030:0.557665:0.115908:0.557665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.115908:0.595948:0.155767:0.595948:0.155767:0.579559:0.115908:0.579559:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.158679:0.595948:0.176977:0.595948:0.176977:0.579587:0.158679:0.579587:0.000000:0.000000:0.000000
( ) :@0.163378:0.596626:0.187720:0.596626:0.187720:0.581053:0.163378:0.581053:0.000000:0.000000:0.000000:0.000000
= 2x2 + 3x – 5 y :@0.191037:0.595948:0.324103:0.595948:0.324103:0.579559:0.191037:0.579559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.327015:0.595948:0.349884:0.595948:0.349884:0.579587:0.327015:0.579587:0.000000:0.000000:0.000000
( ) :@0.336284:0.596626:0.360627:0.596626:0.360627:0.581053:0.336284:0.581053:0.000000:0.000000:0.000000:0.000000
=   + 1, :@0.363926:0.595948:0.430431:0.595948:0.430431:0.579559:0.363926:0.579559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.381856:0.595948:0.389319:0.595948:0.389319:0.579587:0.381856:0.579587:0.000000
hallamos:@0.433342:0.595948:0.502815:0.595948:0.502815:0.579324:0.433342:0.579324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: :@0.502815:0.595948:0.510057:0.595948:0.510057:0.579559:0.502815:0.579559:0.000000:0.000000
( )( ):@0.512950:0.596626:0.558927:0.596626:0.558927:0.581053:0.512950:0.581053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg x:@0.519086:0.595948:0.552790:0.595948:0.552790:0.579587:0.519086:0.579587:0.000000:0.000000:0.000000:0.000000
. :@0.558927:0.595948:0.566169:0.595948:0.566169:0.579559:0.558927:0.579559:0.000000:0.000000
Demostramos:@0.569080:0.595948:0.677140:0.595948:0.677140:0.579324:0.569080:0.579324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la propiedad conmutativa :@0.677140:0.595948:0.883953:0.595948:0.883953:0.579559:0.677140:0.579559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879899:0.595948:0.883935:0.595948:0.883935:0.579559:0.879899:0.579559:0.000000
f, g  F A , fg = gf .:@0.115908:0.612544:0.245510:0.612544:0.245510:0.596183:0.115908:0.596183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ( ):@0.139256:0.613222:0.186652:0.613222:0.186652:0.597649:0.139256:0.597649:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.152395:0.612544:0.156430:0.612544:0.156430:0.596156:0.152395:0.596156:0.000000
Solución:@0.115908:0.636263:0.185122:0.636263:0.185122:0.619363:0.115908:0.619363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.115908:0.653167:0.139764:0.653167:0.139764:0.639009:0.115908:0.639009:0.000000:0.000000:0.000000
fg:@0.121487:0.652551:0.134185:0.652551:0.134185:0.637677:0.121487:0.637677:0.000000:0.000000
( ) :@0.139763:0.653543:0.164106:0.653543:0.164106:0.637970:0.139763:0.637970:0.000000:0.000000:0.000000:0.000000
x:@0.145899:0.652865:0.153362:0.652865:0.153362:0.636504:0.145899:0.636504:0.000000
= :@0.164106:0.652865:0.179124:0.652865:0.179124:0.636476:0.164106:0.636476:0.000000:0.000000
f x g x:@0.179124:0.652865:0.226428:0.652865:0.226428:0.636504:0.179124:0.636504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.183823:0.653543:0.170721:0.653543:0.170721:0.637970:0.183823:0.637970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.232564:0.653543:0.176858:0.653543:0.176858:0.637970:0.232564:0.637970:0.000000
 :@0.236524:0.653543:0.180818:0.653543:0.180818:0.637970:0.236524:0.637970:0.000000
 :@0.296838:0.653543:0.241131:0.653543:0.241131:0.637970:0.296838:0.637970:0.000000
 :@0.357152:0.653543:0.301445:0.653543:0.301445:0.637970:0.357152:0.637970:0.000000
 :@0.417465:0.653543:0.361759:0.653543:0.361759:0.637970:0.417465:0.637970:0.000000
( ):@0.477759:0.653167:0.501615:0.653167:0.501615:0.639009:0.477759:0.639009:0.000000:0.000000:0.000000
gf:@0.483338:0.652551:0.496036:0.652551:0.496036:0.637677:0.483338:0.637677:0.000000:0.000000
( ) :@0.501615:0.653543:0.525957:0.653543:0.525957:0.637970:0.501615:0.637970:0.000000:0.000000:0.000000:0.000000
x:@0.507751:0.652865:0.515214:0.652865:0.515214:0.636504:0.507751:0.636504:0.000000
= :@0.525957:0.652865:0.540976:0.652865:0.540976:0.636476:0.525957:0.636476:0.000000:0.000000
g x f x:@0.540976:0.652865:0.588280:0.652865:0.588280:0.636504:0.540976:0.636504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.550245:0.653543:0.594416:0.653543:0.594416:0.637970:0.550245:0.637970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.115908:0.676891:0.139764:0.676891:0.139764:0.662733:0.115908:0.662733:0.000000:0.000000:0.000000
fg:@0.121487:0.676275:0.134185:0.676275:0.134185:0.661401:0.121487:0.661401:0.000000:0.000000
( )  (:@0.139763:0.677267:0.185261:0.677267:0.185261:0.661694:0.139763:0.661694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.145899:0.676589:0.153362:0.676589:0.153362:0.660228:0.145899:0.660228:0.000000
=  2x2 + 3x – 5:@0.164106:0.676589:0.269659:0.676589:0.269659:0.660200:0.164106:0.660200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)(:@0.269659:0.677267:0.281932:0.677267:0.281932:0.661694:0.269659:0.661694:0.000000:0.000000
x:@0.281932:0.676589:0.289395:0.676589:0.289395:0.660228:0.281932:0.660228:0.000000
 + 1:@0.289395:0.676589:0.317442:0.676589:0.317442:0.660200:0.289395:0.660200:0.000000:0.000000:0.000000:0.000000
) :@0.317442:0.677267:0.328185:0.677267:0.328185:0.661694:0.317442:0.661694:0.000000:0.000000
 :@0.357144:0.677267:0.361751:0.677267:0.361751:0.661694:0.357144:0.661694:0.000000
 :@0.417452:0.677267:0.422059:0.677267:0.422059:0.661694:0.417452:0.661694:0.000000
( ):@0.477759:0.676891:0.501615:0.676891:0.501615:0.662733:0.477759:0.662733:0.000000:0.000000:0.000000
gf:@0.483338:0.676275:0.496036:0.676275:0.496036:0.661401:0.483338:0.661401:0.000000:0.000000
( )  (:@0.501615:0.677267:0.547112:0.677267:0.547112:0.661694:0.501615:0.661694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.507751:0.676589:0.515214:0.676589:0.515214:0.660228:0.507751:0.660228:0.000000
=   + 1 2x2 + 3x – 5:@0.525957:0.676589:0.679294:0.676589:0.679294:0.660200:0.525957:0.660200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.547112:0.676589:0.554576:0.676589:0.554576:0.660228:0.547112:0.660228:0.000000
)(:@0.582622:0.677267:0.594895:0.677267:0.594895:0.661694:0.582622:0.661694:0.000000:0.000000
):@0.679294:0.677267:0.685430:0.677267:0.685430:0.661694:0.679294:0.661694:0.000000
( ):@0.115908:0.700615:0.139764:0.700615:0.139764:0.686457:0.115908:0.686457:0.000000:0.000000:0.000000
fg:@0.121487:0.699999:0.134185:0.699999:0.134185:0.685125:0.121487:0.685125:0.000000:0.000000
( ) :@0.139763:0.700991:0.164106:0.700991:0.164106:0.685418:0.139763:0.685418:0.000000:0.000000:0.000000:0.000000
x:@0.145899:0.700313:0.153362:0.700313:0.153362:0.683952:0.145899:0.683952:0.000000
= 2x3 + 5x2 – 2 – 5 :@0.164106:0.700313:0.307012:0.700313:0.307012:0.683924:0.164106:0.683924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.268664:0.700313:0.276127:0.700313:0.276127:0.683952:0.268664:0.683952:0.000000
 :@0.276127:0.700991:0.280734:0.700991:0.280734:0.685418:0.276127:0.685418:0.000000
 :@0.357144:0.700313:0.361180:0.700313:0.361180:0.683924:0.357144:0.683924:0.000000
 :@0.417452:0.700313:0.421488:0.700313:0.421488:0.683924:0.417452:0.683924:0.000000
( ):@0.477759:0.700615:0.501615:0.700615:0.501615:0.686457:0.477759:0.686457:0.000000:0.000000:0.000000
fg:@0.483338:0.699999:0.496036:0.699999:0.496036:0.685125:0.483338:0.685125:0.000000:0.000000
( ) :@0.501615:0.700991:0.525957:0.700991:0.525957:0.685418:0.501615:0.685418:0.000000:0.000000:0.000000:0.000000
x:@0.507751:0.700313:0.515214:0.700313:0.515214:0.683952:0.507751:0.683952:0.000000
= 2x3 + 5x2 – 2 – 5:@0.525957:0.700313:0.664828:0.700313:0.664828:0.683924:0.525957:0.683924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.630516:0.700313:0.637979:0.700313:0.637979:0.683952:0.630516:0.683952:0.000000
 :@0.637979:0.700991:0.642586:0.700991:0.642586:0.685418:0.637979:0.685418:0.000000
Como :@0.115906:0.724032:0.165034:0.724032:0.165034:0.707643:0.115906:0.707643:0.000000:0.000000:0.000000:0.000000:0.000000
fg = gf:@0.165034:0.724032:0.211967:0.724032:0.211967:0.707671:0.165034:0.707671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se demuestra la propiedad conmutativa.:@0.213351:0.724032:0.516836:0.724032:0.516836:0.707643:0.213351:0.707643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones con funciones reales:@0.115891:0.141978:0.607758:0.141978:0.607758:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.25. Realizar las operaciones de adición y producto entre funciones reales, y el producto de números reales por funciones reales, aplicando propiedades de :@0.125388:0.069719:0.877804:0.069719:0.877804:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números reales.:@0.125388:0.080280:0.214169:0.080280:0.214169:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.054104:0.122645:0.076408:0.122645:0.076408:0.065614:0.054104:0.065614:0.000000
Operaciones con funciones reales:@0.376767:0.172005:0.618484:0.172005:0.618484:0.156641:0.376767:0.156641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición:@0.284110:0.194247:0.339409:0.194247:0.339409:0.178882:0.284110:0.178882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto de funciones:@0.612138:0.194247:0.775072:0.194247:0.775072:0.178882:0.612138:0.178882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.122466:0.214665:0.158701:0.214665:0.158701:0.199766:0.122466:0.199766:0.000000:0.000000:0.000000:0.000000:0.000000
f, g:@0.158701:0.214665:0.176911:0.214665:0.176911:0.199791:0.158701:0.199791:0.000000:0.000000:0.000000:0.000000
    ( ). La suma de   con   se nota :@0.176911:0.214665:0.409250:0.214665:0.409250:0.199766:0.176911:0.199766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.180580:0.215281:0.192524:0.215281:0.192524:0.201124:0.180580:0.201124:0.000000
F A:@0.196193:0.214665:0.216949:0.214665:0.216949:0.199791:0.196193:0.199791:0.000000:0.000000:0.000000
f:@0.307798:0.214665:0.312070:0.214665:0.312070:0.199791:0.307798:0.199791:0.000000
g:@0.344770:0.214665:0.353197:0.214665:0.353197:0.199791:0.344770:0.199791:0.000000
f + g:@0.409250:0.214665:0.437964:0.214665:0.437964:0.199791:0.409250:0.199791:0.000000:0.000000:0.000000:0.000000:0.000000
 y es la :@0.437964:0.214665:0.485541:0.214665:0.485541:0.199766:0.437964:0.199766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función real definida en   como::@0.122466:0.229753:0.338555:0.229753:0.338555:0.214854:0.122466:0.214854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.283959:0.229753:0.292955:0.229753:0.292955:0.214879:0.283959:0.214879:0.000000
(:@0.122466:0.249015:0.128044:0.249015:0.128044:0.234858:0.122466:0.234858:0.000000
f + g x:@0.128044:0.248399:0.174700:0.248399:0.174700:0.233525:0.128044:0.233525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)( ):@0.156758:0.249015:0.180278:0.249015:0.180278:0.234858:0.156758:0.234858:0.000000:0.000000:0.000000:0.000000
 =  x  + :@0.180278:0.248399:0.237538:0.248399:0.237538:0.233500:0.180278:0.233500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.197600:0.248399:0.201872:0.248399:0.201872:0.233525:0.197600:0.233525:0.000000
( ):@0.201872:0.249015:0.220216:0.249015:0.220216:0.234858:0.201872:0.234858:0.000000:0.000000:0.000000
g x:@0.237538:0.248399:0.258328:0.248399:0.258328:0.233525:0.237538:0.233525:0.000000:0.000000:0.000000
( ):@0.245965:0.249015:0.263906:0.249015:0.263906:0.234858:0.245965:0.234858:0.000000:0.000000:0.000000
,    :@0.263906:0.248399:0.281496:0.248399:0.281496:0.233500:0.263906:0.233500:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.281496:0.249015:0.315839:0.249015:0.315839:0.234858:0.281496:0.234858:0.000000:0.000000:0.000000
x:@0.293441:0.248399:0.300226:0.248399:0.300226:0.233525:0.293441:0.233525:0.000000
   :@0.300226:0.248399:0.319508:0.248399:0.319508:0.233500:0.300226:0.233500:0.000000:0.000000:0.000000
A:@0.319508:0.248399:0.328504:0.248399:0.328504:0.233525:0.319508:0.233525:0.000000
Sean :@0.514438:0.214665:0.550674:0.214665:0.550674:0.199766:0.514438:0.199766:0.000000:0.000000:0.000000:0.000000:0.000000
f, g:@0.550674:0.214665:0.568884:0.214665:0.568884:0.199791:0.550674:0.199791:0.000000:0.000000:0.000000:0.000000
    ( ). El producto de   por   se nota   y se :@0.568884:0.214665:0.866706:0.214665:0.866706:0.199766:0.568884:0.199766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.572553:0.215281:0.584497:0.215281:0.584497:0.201124:0.572553:0.201124:0.000000
F A:@0.588166:0.214665:0.608922:0.214665:0.608922:0.199791:0.588166:0.199791:0.000000:0.000000:0.000000
f:@0.722066:0.214665:0.726338:0.214665:0.726338:0.199791:0.722066:0.199791:0.000000
g:@0.756777:0.214665:0.765203:0.214665:0.765203:0.199791:0.756777:0.199791:0.000000
fg:@0.821257:0.214665:0.833955:0.214665:0.833955:0.199791:0.821257:0.199791:0.000000:0.000000
define como::@0.514438:0.229753:0.602489:0.229753:0.602489:0.214854:0.514438:0.214854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )( ):@0.514438:0.249015:0.556236:0.249015:0.556236:0.234858:0.514438:0.234858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg x:@0.520017:0.248399:0.550657:0.248399:0.550657:0.233525:0.520017:0.233525:0.000000:0.000000:0.000000:0.000000
 =  x:@0.556236:0.248399:0.590595:0.248399:0.590595:0.233500:0.556236:0.233500:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.573558:0.248399:0.577830:0.248399:0.577830:0.233525:0.573558:0.233525:0.000000
( ) ( ):@0.577830:0.249015:0.622542:0.249015:0.622542:0.234858:0.577830:0.234858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.596173:0.248399:0.616963:0.248399:0.616963:0.233525:0.596173:0.233525:0.000000:0.000000:0.000000
,    :@0.622542:0.248399:0.640132:0.248399:0.640132:0.233500:0.622542:0.233500:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.640132:0.249015:0.674474:0.249015:0.674474:0.234858:0.640132:0.234858:0.000000:0.000000:0.000000
x:@0.652076:0.248399:0.658861:0.248399:0.658861:0.233525:0.652076:0.233525:0.000000
   :@0.658861:0.248399:0.678143:0.248399:0.678143:0.233500:0.658861:0.233500:0.000000:0.000000:0.000000
A:@0.678143:0.248399:0.687139:0.248399:0.687139:0.233525:0.678143:0.233525:0.000000
Propiedades de la adición de funciones:@0.170763:0.279316:0.452739:0.279316:0.452739:0.263951:0.170763:0.263951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades del producto  :@0.599742:0.273658:0.794384:0.273658:0.794384:0.258294:0.599742:0.258294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de funciones:@0.647201:0.284974:0.739976:0.284974:0.739976:0.269609:0.647201:0.269609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa::@0.122449:0.304613:0.220132:0.304613:0.220132:0.289248:0.122449:0.289248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.220132:0.304613:0.223801:0.304613:0.223801:0.289714:0.220132:0.289714:0.000000
f, g:@0.223801:0.304613:0.242011:0.304613:0.242011:0.289739:0.223801:0.289739:0.000000:0.000000:0.000000:0.000000
   :@0.242011:0.304613:0.261293:0.304613:0.261293:0.289714:0.242011:0.289714:0.000000:0.000000:0.000000
∈ ( ):@0.245680:0.305229:0.288767:0.305229:0.288767:0.291071:0.245680:0.291071:0.000000:0.000000:0.000000:0.000000:0.000000
F A f + g = g + f:@0.261293:0.304613:0.372462:0.304613:0.372462:0.289739:0.261293:0.289739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,  :@0.288767:0.304613:0.299019:0.304613:0.299019:0.289714:0.288767:0.289714:0.000000:0.000000:0.000000
Asociativa::@0.122449:0.323258:0.200731:0.323258:0.200731:0.307894:0.122449:0.307894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 f, g, h:@0.200731:0.323258:0.236414:0.323258:0.236414:0.308385:0.200731:0.308385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.236414:0.323258:0.255696:0.323258:0.255696:0.308359:0.236414:0.308359:0.000000:0.000000:0.000000
∈ ( ):@0.240083:0.323874:0.283170:0.323874:0.283170:0.309717:0.240083:0.309717:0.000000:0.000000:0.000000:0.000000:0.000000
F A:@0.255696:0.323258:0.277591:0.323258:0.277591:0.308385:0.255696:0.308385:0.000000:0.000000:0.000000
                   (:@0.122449:0.342520:0.207602:0.342520:0.207602:0.328363:0.122449:0.328363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f + g:@0.207602:0.341904:0.236315:0.341904:0.236315:0.327030:0.207602:0.327030:0.000000:0.000000:0.000000:0.000000:0.000000
) + :@0.236315:0.342520:0.259467:0.342520:0.259467:0.328363:0.236315:0.328363:0.000000:0.000000:0.000000:0.000000
h:@0.259467:0.341904:0.268111:0.341904:0.268111:0.327030:0.259467:0.327030:0.000000
 =   + :@0.268111:0.341904:0.307027:0.341904:0.307027:0.327005:0.268111:0.327005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.285433:0.341904:0.289705:0.341904:0.289705:0.327030:0.285433:0.327030:0.000000
(:@0.307027:0.342520:0.312606:0.342520:0.312606:0.328363:0.307027:0.328363:0.000000
g + h:@0.312606:0.341904:0.345692:0.341904:0.345692:0.327030:0.312606:0.327030:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.345692:0.342520:0.351270:0.342520:0.351270:0.328363:0.345692:0.328363:0.000000
Existencia del elemento neutro::@0.122449:0.360550:0.350061:0.360550:0.350061:0.345186:0.122449:0.345186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.350061:0.360550:0.382073:0.360569:0.382073:0.345670:0.350061:0.345651:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.353729:0.360550:0.358001:0.360550:0.358001:0.345676:0.353729:0.345676:0.000000
0:@0.358025:0.363445:0.362791:0.363445:0.362791:0.354759:0.358025:0.354759:0.000000
∈ ( ):@0.366460:0.361185:0.409547:0.361185:0.409547:0.347028:0.366460:0.347028:0.000000:0.000000:0.000000:0.000000:0.000000
F A:@0.382073:0.360569:0.403968:0.360569:0.403968:0.345695:0.382073:0.345695:0.000000:0.000000:0.000000
, tal que para :@0.409547:0.360569:0.498971:0.360569:0.498971:0.345670:0.409547:0.345670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todo     :@0.122478:0.375656:0.186475:0.375656:0.186475:0.360757:0.122478:0.360757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.158160:0.375656:0.162432:0.375656:0.162432:0.360783:0.158160:0.360783:0.000000
0:@0.162427:0.378532:0.167193:0.378532:0.167193:0.369846:0.162427:0.369846:0.000000
∈ ( ):@0.170862:0.376272:0.213949:0.376272:0.213949:0.362115:0.170862:0.362115:0.000000:0.000000:0.000000:0.000000:0.000000
F A:@0.186475:0.375656:0.208371:0.375656:0.208371:0.360783:0.186475:0.360783:0.000000:0.000000:0.000000
,:@0.213949:0.375656:0.216864:0.375656:0.216864:0.360757:0.213949:0.360757:0.000000
   :@0.122481:0.394302:0.134090:0.394302:0.134090:0.379403:0.122481:0.379403:0.000000:0.000000:0.000000
f + f  = f    f = f:@0.126150:0.394302:0.229085:0.394308:0.229085:0.379435:0.126150:0.379428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.151354:0.397185:0.156120:0.397185:0.156120:0.388498:0.151354:0.388498:0.000000
 :@0.156120:0.394308:0.159789:0.394308:0.159789:0.379409:0.156120:0.379409:0.000000
0:@0.180076:0.397185:0.184842:0.397185:0.184842:0.388498:0.180076:0.388498:0.000000
  +:@0.184842:0.394308:0.201510:0.394308:0.201510:0.379409:0.184842:0.379409:0.000000:0.000000:0.000000
Existencia de opuestos aditivos::@0.122473:0.412954:0.341376:0.412954:0.341376:0.397590:0.122473:0.397590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para cada :@0.341041:0.412954:0.409893:0.412954:0.409893:0.398055:0.341041:0.398055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  F A:@0.409558:0.412954:0.452679:0.412954:0.452679:0.398080:0.409558:0.398080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ( ):@0.416176:0.413570:0.458258:0.413570:0.458258:0.399413:0.416176:0.399413:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.427785:0.412954:0.431454:0.412954:0.431454:0.398055:0.427785:0.398055:0.000000
, existe :@0.458258:0.412954:0.504427:0.412954:0.504427:0.398055:0.458258:0.398055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.122473:0.428042:0.130899:0.428042:0.130899:0.413168:0.122473:0.413168:0.000000
   :@0.130564:0.428042:0.149176:0.428042:0.149176:0.413143:0.130564:0.413143:0.000000:0.000000:0.000000
∈ ( ):@0.133898:0.428658:0.175980:0.428658:0.175980:0.414501:0.133898:0.414501:0.000000:0.000000:0.000000:0.000000:0.000000
F A:@0.148841:0.428042:0.170401:0.428042:0.170401:0.413168:0.148841:0.413168:0.000000:0.000000:0.000000
, tal que: :@0.175980:0.428042:0.231899:0.428042:0.231899:0.413143:0.175980:0.413143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f + g = f:@0.231564:0.428042:0.281218:0.428042:0.281218:0.413168:0.231564:0.413168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.260278:0.428042:0.263947:0.428042:0.263947:0.413143:0.260278:0.413143:0.000000
0:@0.281215:0.430924:0.285981:0.430924:0.285981:0.422238:0.281215:0.422238:0.000000
Conmutativa::@0.514447:0.304614:0.612130:0.304614:0.612130:0.289250:0.514447:0.289250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.612130:0.304614:0.615799:0.304614:0.615799:0.289715:0.612130:0.289715:0.000000
f, g:@0.615799:0.304614:0.634009:0.304614:0.634009:0.289740:0.615799:0.289740:0.000000:0.000000:0.000000:0.000000
   :@0.634009:0.304614:0.653291:0.304614:0.653291:0.289715:0.634009:0.289715:0.000000:0.000000:0.000000
∈ ( ):@0.637677:0.305230:0.680765:0.305230:0.680765:0.291073:0.637677:0.291073:0.000000:0.000000:0.000000:0.000000:0.000000
F A fg = gf:@0.653291:0.304614:0.732429:0.304614:0.732429:0.289740:0.653291:0.289740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,  :@0.680765:0.304614:0.691017:0.304614:0.691017:0.289715:0.680765:0.289715:0.000000:0.000000:0.000000
 :@0.514447:0.323260:0.517462:0.323260:0.517462:0.308386:0.514447:0.308386:0.000000
Asociativa::@0.517462:0.323260:0.595745:0.323260:0.595745:0.307895:0.517462:0.307895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595745:0.323260:0.599413:0.323260:0.599413:0.308361:0.595745:0.308361:0.000000
f, g, h:@0.599413:0.323260:0.632081:0.323260:0.632081:0.308386:0.599413:0.308386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.632081:0.323260:0.651363:0.323260:0.651363:0.308361:0.632081:0.308361:0.000000:0.000000:0.000000
∈ ( ):@0.635749:0.323876:0.678836:0.323876:0.678836:0.309718:0.635749:0.309718:0.000000:0.000000:0.000000:0.000000:0.000000
F A:@0.651363:0.323260:0.673258:0.323260:0.673258:0.308386:0.651363:0.308386:0.000000:0.000000:0.000000
                        :@0.514447:0.341905:0.597673:0.341905:0.597673:0.326541:0.514447:0.326541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.597673:0.342521:0.621528:0.342521:0.621528:0.328364:0.597673:0.328364:0.000000:0.000000:0.000000
fg h:@0.603251:0.341905:0.630172:0.341905:0.630172:0.327032:0.603251:0.327032:0.000000:0.000000:0.000000:0.000000
 = :@0.630172:0.341905:0.647494:0.341905:0.647494:0.327006:0.630172:0.327006:0.000000:0.000000:0.000000
f  gh:@0.647494:0.341905:0.677431:0.341905:0.677431:0.327032:0.647494:0.327032:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.654782:0.342521:0.660360:0.342521:0.660360:0.328364:0.654782:0.328364:0.000000
):@0.677431:0.342521:0.683009:0.342521:0.683009:0.328364:0.677431:0.328364:0.000000
Existencia del elemento unidad::@0.514447:0.360551:0.744538:0.360551:0.744538:0.345187:0.514447:0.345187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Existe 1    :@0.744538:0.360551:0.822518:0.360569:0.822518:0.345670:0.744538:0.345652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.797993:0.363445:0.803238:0.363445:0.803238:0.354773:0.797993:0.354773:0.000000
∈ ( ):@0.806905:0.361185:0.849992:0.361185:0.849992:0.347028:0.806905:0.347028:0.000000:0.000000:0.000000:0.000000:0.000000
F A:@0.822518:0.360569:0.844414:0.360569:0.844414:0.345695:0.822518:0.345695:0.000000:0.000000:0.000000
, :@0.849992:0.360569:0.856576:0.360569:0.856576:0.345670:0.849992:0.345670:0.000000:0.000000
definida como 1:@0.514442:0.375656:0.623517:0.375656:0.623517:0.360757:0.514442:0.360757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.623520:0.378532:0.628765:0.378532:0.628765:0.369861:0.623520:0.369861:0.000000
( ):@0.628765:0.376272:0.646707:0.376272:0.646707:0.362115:0.628765:0.362115:0.000000:0.000000:0.000000
x:@0.634344:0.375656:0.641128:0.375656:0.641128:0.360783:0.634344:0.360783:0.000000
 = 1,    :@0.646707:0.375656:0.689794:0.375656:0.689794:0.360757:0.646707:0.360757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.689794:0.376272:0.724137:0.376272:0.724137:0.362115:0.689794:0.362115:0.000000:0.000000:0.000000
x:@0.701739:0.375656:0.708523:0.375656:0.708523:0.360783:0.701739:0.360783:0.000000
    tal que para todo :@0.708523:0.375656:0.861371:0.375656:0.861371:0.360757:0.708523:0.360757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, :@0.727805:0.375656:0.742849:0.375656:0.742849:0.360783:0.727805:0.360783:0.000000:0.000000:0.000000
f  F A:@0.514447:0.390744:0.559243:0.390744:0.559243:0.375870:0.514447:0.375870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ( ):@0.521734:0.391360:0.564821:0.391360:0.564821:0.377203:0.521734:0.377203:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.533679:0.390744:0.537347:0.390744:0.537347:0.375845:0.533679:0.375845:0.000000
    1  :@0.564821:0.390744:0.596582:0.390744:0.596582:0.375845:0.564821:0.375845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.587668:0.393620:0.592913:0.393620:0.592913:0.384949:0.587668:0.384949:0.000000
f = f:@0.596582:0.390744:0.621141:0.390744:0.621141:0.375870:0.596582:0.375870:0.000000:0.000000:0.000000:0.000000:0.000000
Distributiva: :@0.514445:0.409390:0.607185:0.409390:0.607185:0.394026:0.514445:0.394026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para todo :@0.607185:0.409390:0.675937:0.409390:0.675937:0.394491:0.607185:0.394491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g, h:@0.675937:0.409390:0.708604:0.409390:0.708604:0.394516:0.675937:0.394516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.708604:0.409390:0.727886:0.409390:0.727886:0.394491:0.708604:0.394491:0.000000:0.000000:0.000000
∈ ( ):@0.712273:0.410006:0.755360:0.410006:0.755360:0.395849:0.712273:0.395849:0.000000:0.000000:0.000000:0.000000:0.000000
F A:@0.727886:0.409390:0.749781:0.409390:0.749781:0.394516:0.727886:0.394516:0.000000:0.000000:0.000000
f  g + h:@0.514445:0.428036:0.560397:0.428036:0.560397:0.413162:0.514445:0.413162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.521732:0.428652:0.527311:0.428652:0.527311:0.414494:0.521732:0.414494:0.000000
) :@0.560397:0.428652:0.570164:0.428652:0.570164:0.414494:0.560397:0.414494:0.000000:0.000000
= :@0.570164:0.428036:0.583817:0.428036:0.583817:0.413137:0.570164:0.413137:0.000000:0.000000
fg + fh:@0.583817:0.428036:0.626701:0.428036:0.626701:0.413162:0.583817:0.413162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resta:@0.291957:0.461517:0.331559:0.461517:0.331559:0.446153:0.291957:0.446153:0.000000:0.000000:0.000000:0.000000:0.000000
Producto de números reales  :@0.592310:0.455860:0.801829:0.455860:0.801829:0.440495:0.592310:0.440495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por funciones:@0.643790:0.467175:0.743400:0.467175:0.743400:0.451811:0.643790:0.451811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.122456:0.487254:0.158691:0.487254:0.158691:0.472355:0.122456:0.472355:0.000000:0.000000:0.000000:0.000000:0.000000
f, g:@0.158691:0.487254:0.176901:0.487254:0.176901:0.472381:0.158691:0.472381:0.000000:0.000000:0.000000:0.000000
   :@0.176901:0.487254:0.196183:0.487254:0.196183:0.472355:0.176901:0.472355:0.000000:0.000000:0.000000
∈ ( ):@0.180570:0.487871:0.223657:0.487871:0.223657:0.473713:0.180570:0.473713:0.000000:0.000000:0.000000:0.000000:0.000000
F A:@0.196183:0.487254:0.218079:0.487254:0.218079:0.472381:0.196183:0.472381:0.000000:0.000000:0.000000
. Como –    :@0.223657:0.487254:0.310987:0.487254:0.310987:0.472355:0.223657:0.472355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.283279:0.487254:0.291705:0.487254:0.291705:0.472381:0.283279:0.472381:0.000000
∈ ( ):@0.295374:0.487871:0.338461:0.487871:0.338461:0.473713:0.295374:0.473713:0.000000:0.000000:0.000000:0.000000:0.000000
F A:@0.310987:0.487254:0.332883:0.487254:0.332883:0.472381:0.310987:0.472381:0.000000:0.000000:0.000000
 y     :@0.338461:0.487254:0.376724:0.487254:0.376724:0.472355:0.338461:0.472355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.353170:0.487254:0.357442:0.487254:0.357442:0.472381:0.353170:0.472381:0.000000
∈ ( ):@0.361110:0.487871:0.404198:0.487871:0.404198:0.473713:0.361110:0.473713:0.000000:0.000000:0.000000:0.000000:0.000000
F A:@0.376724:0.487254:0.398619:0.487254:0.398619:0.472381:0.376724:0.472381:0.000000:0.000000:0.000000
, entonces  :@0.404198:0.487254:0.480034:0.487254:0.480034:0.472355:0.404198:0.472355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f +  –g:@0.122456:0.502342:0.165526:0.502342:0.165526:0.487468:0.122456:0.487468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.142743:0.502958:0.148322:0.502958:0.148322:0.488801:0.142743:0.488801:0.000000
) ∈ ( ):@0.165526:0.502958:0.217861:0.502958:0.217861:0.488801:0.165526:0.488801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.171105:0.502342:0.190387:0.502342:0.190387:0.487443:0.171105:0.487443:0.000000:0.000000:0.000000
F A:@0.190387:0.502342:0.212282:0.502342:0.212282:0.487468:0.190387:0.487468:0.000000:0.000000:0.000000
 que se define como::@0.217861:0.502342:0.357391:0.502342:0.357391:0.487443:0.217861:0.487443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.122456:0.521604:0.128034:0.521604:0.128034:0.507447:0.122456:0.507447:0.000000
f +  –g x:@0.128034:0.520988:0.194625:0.520988:0.194625:0.506114:0.128034:0.506114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.148322:0.521604:0.153900:0.521604:0.153900:0.507447:0.148322:0.507447:0.000000
))( ) =  ( )  (:@0.171105:0.521604:0.266426:0.521604:0.266426:0.507447:0.171105:0.507447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  x:@0.217777:0.520988:0.237428:0.520988:0.237428:0.506114:0.217777:0.506114:0.000000:0.000000:0.000000:0.000000
+ :@0.247194:0.520988:0.260847:0.520988:0.260847:0.506089:0.247194:0.506089:0.000000:0.000000
–g x:@0.266426:0.520988:0.301572:0.520988:0.301572:0.506114:0.266426:0.506114:0.000000:0.000000:0.000000:0.000000
)( )    ( ) :@0.283631:0.521604:0.354929:0.521604:0.354929:0.507447:0.283631:0.507447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.311339:0.520988:0.321324:0.520988:0.321324:0.506089:0.311339:0.506089:0.000000
f  x – g x:@0.325512:0.520988:0.387110:0.520988:0.387110:0.506114:0.325512:0.506114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.374747:0.521604:0.392689:0.521604:0.392689:0.507447:0.374747:0.507447:0.000000:0.000000:0.000000
,    :@0.392689:0.520988:0.410279:0.520988:0.410279:0.506089:0.392689:0.506089:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.410279:0.521604:0.444621:0.521604:0.444621:0.507447:0.410279:0.507447:0.000000:0.000000:0.000000
x:@0.422223:0.520988:0.429008:0.520988:0.429008:0.506114:0.422223:0.506114:0.000000
   :@0.429008:0.520988:0.448290:0.520988:0.448290:0.506089:0.429008:0.506089:0.000000:0.000000:0.000000
A:@0.448290:0.520988:0.457286:0.520988:0.457286:0.506114:0.448290:0.506114:0.000000
f – g:@0.122456:0.539634:0.149561:0.539634:0.149561:0.524760:0.122456:0.524760:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.149561:0.540250:0.167134:0.540250:0.167134:0.526092:0.149561:0.526092:0.000000:0.000000:0.000000
f  +  –g:@0.167134:0.539634:0.213220:0.539634:0.213220:0.524760:0.167134:0.524760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.190437:0.540250:0.196016:0.540250:0.196016:0.526092:0.190437:0.526092:0.000000
):@0.213220:0.540250:0.218799:0.540250:0.218799:0.526092:0.213220:0.526092:0.000000
Sean      ,  :@0.514428:0.487242:0.601323:0.487242:0.601323:0.472343:0.514428:0.472343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ ∈:@0.550664:0.487858:0.575474:0.487858:0.575474:0.473701:0.550664:0.473701:0.000000:0.000000:0.000000
R:@0.579143:0.486462:0.591238:0.486462:0.591238:0.474769:0.579143:0.474769:0.000000
f  F  A:@0.601323:0.487242:0.649134:0.487242:0.649134:0.472368:0.601323:0.472368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ( ):@0.608610:0.487858:0.654713:0.487858:0.654713:0.473701:0.608610:0.473701:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.620555:0.487242:0.624224:0.487242:0.624224:0.472343:0.620555:0.472343:0.000000
. El producto de   por  se :@0.654713:0.487242:0.831401:0.487242:0.831401:0.472343:0.654713:0.472343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.763419:0.487858:0.772616:0.487858:0.772616:0.473701:0.763419:0.473701:0.000000
f  :@0.803055:0.487242:0.813358:0.487242:0.813358:0.472368:0.803055:0.472368:0.000000:0.000000:0.000000
designa con :@0.514428:0.502329:0.599681:0.502329:0.599681:0.487430:0.514428:0.487430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.599681:0.502946:0.608878:0.502946:0.608878:0.488788:0.599681:0.488788:0.000000
f  :@0.608878:0.502329:0.619181:0.502329:0.619181:0.487456:0.608878:0.487456:0.000000:0.000000:0.000000
y se define en A como::@0.619181:0.502329:0.770556:0.502329:0.770556:0.487430:0.619181:0.487430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(λ )( ):@0.514428:0.521591:0.560012:0.521591:0.560012:0.507434:0.514428:0.507434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  x:@0.529204:0.520975:0.554433:0.520975:0.554433:0.506101:0.529204:0.506101:0.000000:0.000000:0.000000:0.000000
 = :@0.560012:0.520975:0.577334:0.520975:0.577334:0.506076:0.560012:0.506076:0.000000:0.000000:0.000000
λ ( ):@0.577334:0.521591:0.611760:0.521591:0.611760:0.507434:0.577334:0.507434:0.000000:0.000000:0.000000:0.000000:0.000000
f  x:@0.586531:0.520975:0.606181:0.520975:0.606181:0.506101:0.586531:0.506101:0.000000:0.000000:0.000000:0.000000
,    :@0.611760:0.520975:0.629350:0.520975:0.629350:0.506076:0.611760:0.506076:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.629350:0.521591:0.663692:0.521591:0.663692:0.507434:0.629350:0.507434:0.000000:0.000000:0.000000
x:@0.641294:0.520975:0.648079:0.520975:0.648079:0.506101:0.641294:0.506101:0.000000
   :@0.648079:0.520975:0.667361:0.520975:0.667361:0.506076:0.648079:0.506076:0.000000:0.000000:0.000000
A:@0.667361:0.520975:0.676357:0.520975:0.676357:0.506101:0.667361:0.506101:0.000000