201:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
De la definición de las funciones  y  se tiene::@0.108233:0.096194:0.436203:0.096194:0.436203:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u   v:@0.341938:0.096310:0.375036:0.096310:0.375036:0.079841:0.341938:0.079841:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.113203:0.120673:0.119156:0.120673:0.119156:0.104176:0.113203:0.104176:0.000000
v   u x:@0.119156:0.120789:0.171192:0.120789:0.171192:0.104320:0.119156:0.104320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.131082:0.120962:0.137497:0.120962:0.137497:0.107516:0.131082:0.107516:0.000000
)( ) =  ( ( )) =  (  + 1) = –             – 1 = –      –      ,       ,:@0.151811:0.120673:0.590803:0.120674:0.590803:0.104176:0.151811:0.104176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v u x:@0.196237:0.120789:0.232610:0.120789:0.232610:0.104320:0.196237:0.104320:0.000000:0.000000:0.000000:0.000000:0.000000
v x:@0.263607:0.120789:0.284818:0.120789:0.284818:0.104320:0.263607:0.104320:0.000000:0.000000:0.000000
2:@0.284808:0.114321:0.289762:0.114321:0.289762:0.104703:0.284808:0.104703:0.000000
∀:@0.530708:0.128260:0.542281:0.128260:0.542281:0.109261:0.530708:0.109261:0.000000
x:@0.542288:0.120790:0.549763:0.120790:0.549763:0.104321:0.542288:0.104321:0.000000
:@0.553904:0.120155:0.568556:0.120155:0.568556:0.106782:0.553904:0.106782:0.000000
Q:@0.572698:0.119587:0.588049:0.119587:0.588049:0.106725:0.572698:0.106725:0.000000
(:@0.108922:0.157226:0.114875:0.157226:0.114875:0.140728:0.108922:0.140728:0.000000
u   v x    u v x   u     :@0.114643:0.157342:0.290882:0.157342:0.290882:0.140873:0.114643:0.140873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.126318:0.157515:0.132733:0.157515:0.132733:0.144068:0.126318:0.144068:0.000000
)( )= ( ( ))=    –   – 1  =  –  – 1  +1 =     + 1  + 1,       .:@0.143715:0.157226:0.595082:0.157222:0.595082:0.140725:0.143715:0.140728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    :@0.357405:0.157342:0.373279:0.157342:0.373279:0.140873:0.357405:0.140873:0.000000:0.000000:0.000000:0.000000
2:@0.403305:0.143326:0.408258:0.143326:0.408258:0.133707:0.403305:0.133707:0.000000
    :@0.445362:0.157338:0.461237:0.157338:0.461237:0.140869:0.445362:0.140869:0.000000:0.000000:0.000000:0.000000
2:@0.499400:0.143326:0.504353:0.143326:0.504353:0.133707:0.499400:0.133707:0.000000
∀:@0.536334:0.164809:0.547906:0.164809:0.547906:0.145810:0.536334:0.145810:0.000000
x:@0.547692:0.157338:0.555167:0.157338:0.555167:0.140869:0.547692:0.140869:0.000000
:@0.558846:0.156704:0.573498:0.156704:0.573498:0.143330:0.558846:0.143330:0.000000
Q:@0.577198:0.156135:0.592548:0.156135:0.592548:0.143273:0.577198:0.143273:0.000000
Observa que, en general, (:@0.108230:0.191924:0.291939:0.191924:0.291939:0.175426:0.108230:0.175426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u   v x:@0.291939:0.192040:0.343979:0.192040:0.343979:0.175571:0.291939:0.175571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.305294:0.192213:0.311709:0.192213:0.311709:0.178766:0.305294:0.178766:0.000000
)( ) ≠ (:@0.324598:0.191924:0.374976:0.191924:0.374976:0.175426:0.324598:0.175426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v   u x:@0.374745:0.192040:0.425162:0.192040:0.425162:0.175571:0.374745:0.175571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.386208:0.192213:0.392623:0.192213:0.392623:0.178766:0.386208:0.178766:0.000000
)( ).:@0.406244:0.191924:0.433408:0.191924:0.433408:0.175426:0.406244:0.175426:0.000000:0.000000:0.000000:0.000000:0.000000
Función inversa:@0.108233:0.228023:0.234417:0.228023:0.234417:0.210340:0.108233:0.210340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   dos conjuntos no vacíos cualesquiera,   una función de   :@0.108233:0.244730:0.599940:0.244730:0.599940:0.228233:0.108233:0.228233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.147168:0.244846:0.175276:0.244846:0.175276:0.228377:0.147168:0.228377:0.000000:0.000000:0.000000
f:@0.459942:0.244846:0.464238:0.244846:0.464238:0.228377:0.459942:0.228377:0.000000
A:@0.584528:0.244846:0.595798:0.244846:0.595798:0.228377:0.584528:0.228377:0.000000
en   con   biyectiva. Por ser   sobreyectiva, para cada       existe :@0.108233:0.262081:0.599908:0.262081:0.599908:0.245584:0.108233:0.245584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.131621:0.262197:0.140811:0.262197:0.140811:0.245728:0.131621:0.245728:0.000000
f:@0.179437:0.262197:0.183734:0.262197:0.183734:0.245728:0.179437:0.245728:0.000000
f:@0.319226:0.262197:0.323522:0.262197:0.323522:0.245728:0.319226:0.245728:0.000000
y:@0.506579:0.262197:0.514266:0.262197:0.514266:0.245728:0.506579:0.245728:0.000000
:@0.519923:0.261563:0.534576:0.261563:0.534576:0.248189:0.519923:0.248189:0.000000
B:@0.540204:0.262197:0.549394:0.262197:0.549394:0.245728:0.540204:0.245728:0.000000
x:@0.108239:0.279548:0.115714:0.279548:0.115714:0.263079:0.108239:0.263079:0.000000
 :@0.115906:0.279432:0.120049:0.279432:0.120049:0.262934:0.115906:0.262934:0.000000
:@0.124664:0.278913:0.139316:0.278913:0.139316:0.265540:0.124664:0.265540:0.000000
  , tal que   =  ( ). Supongamos que  ,   :@0.139493:0.279432:0.489649:0.279432:0.489649:0.262934:0.139493:0.262934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.148259:0.279548:0.159529:0.279548:0.159529:0.263079:0.148259:0.263079:0.000000
y:@0.235126:0.279548:0.242813:0.279548:0.242813:0.263079:0.235126:0.263079:0.000000
f x:@0.271537:0.279548:0.289646:0.279548:0.289646:0.263079:0.271537:0.263079:0.000000:0.000000:0.000000
x x:@0.448354:0.279548:0.480252:0.279548:0.480252:0.263079:0.448354:0.263079:0.000000:0.000000:0.000000
1:@0.455998:0.282710:0.460951:0.282710:0.460951:0.273092:0.455998:0.273092:0.000000
2:@0.480443:0.282710:0.485396:0.282710:0.485396:0.273092:0.480443:0.273092:0.000000
:@0.494272:0.278913:0.508924:0.278913:0.508924:0.265540:0.494272:0.265540:0.000000
  , tal que :@0.509099:0.279432:0.599916:0.279432:0.599916:0.262934:0.509099:0.262934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.517865:0.279548:0.529135:0.279548:0.529135:0.263079:0.517865:0.263079:0.000000
 :@0.595774:0.279432:0.599916:0.279432:0.599916:0.262934:0.595774:0.262934:0.000000
y:@0.108247:0.296898:0.115934:0.296898:0.115934:0.280430:0.108247:0.280430:0.000000
 =  ( ),   =  ( ). Como   es inyectiva, de la igualdad  ( ) =  ( ) se :@0.116127:0.296783:0.599909:0.296783:0.599909:0.280285:0.116127:0.280285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x y:@0.136452:0.296898:0.181244:0.296898:0.181244:0.280430:0.136452:0.280430:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.154736:0.300061:0.159689:0.300061:0.159689:0.290443:0.154736:0.290443:0.000000
f x:@0.201762:0.296898:0.219871:0.296898:0.219871:0.280430:0.201762:0.280430:0.000000:0.000000:0.000000
2:@0.220059:0.300061:0.225012:0.300061:0.225012:0.290443:0.220059:0.290443:0.000000
f:@0.289314:0.296898:0.293611:0.296898:0.293611:0.280430:0.289314:0.280430:0.000000
f x:@0.497013:0.296898:0.515124:0.296898:0.515124:0.280430:0.497013:0.280430:0.000000:0.000000:0.000000
1:@0.515305:0.300061:0.520258:0.300061:0.520258:0.290443:0.515305:0.290443:0.000000
f x:@0.546839:0.296898:0.564949:0.296898:0.564949:0.280430:0.546839:0.280430:0.000000:0.000000:0.000000
2:@0.565140:0.300061:0.570093:0.300061:0.570093:0.290443:0.565140:0.290443:0.000000
sigue que   =  . Así, para cada      , existe un único      , tal que :@0.108223:0.314134:0.599886:0.314134:0.599886:0.297636:0.108223:0.297636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.180603:0.314249:0.188077:0.314249:0.188077:0.297780:0.180603:0.297780:0.000000
1:@0.188294:0.317411:0.193248:0.317411:0.193248:0.307793:0.188294:0.307793:0.000000
x:@0.212337:0.314249:0.219812:0.314249:0.219812:0.297780:0.212337:0.297780:0.000000
2:@0.220020:0.317411:0.224973:0.317411:0.224973:0.307793:0.220020:0.307793:0.000000
y:@0.336052:0.314249:0.343739:0.314249:0.343739:0.297780:0.336052:0.297780:0.000000
:@0.347958:0.313615:0.362611:0.313615:0.362611:0.300242:0.347958:0.300242:0.000000
B:@0.366775:0.314249:0.375965:0.314249:0.375965:0.297780:0.366775:0.297780:0.000000
x:@0.496874:0.314249:0.504349:0.314249:0.504349:0.297780:0.496874:0.297780:0.000000
:@0.508575:0.313615:0.523228:0.313615:0.523228:0.300242:0.508575:0.300242:0.000000
A:@0.527391:0.314249:0.538661:0.314249:0.538661:0.297780:0.527391:0.297780:0.000000
y:@0.108217:0.331600:0.115904:0.331600:0.115904:0.315131:0.108217:0.315131:0.000000
 =  ( ). Este hecho permite definir la función inversa.:@0.116097:0.331484:0.495988:0.331484:0.495988:0.314987:0.116097:0.314987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.135766:0.331600:0.153876:0.331600:0.153876:0.315131:0.135766:0.315131:0.000000:0.000000:0.000000
Definición :@0.108217:0.364378:0.195084:0.364378:0.195084:0.347432:0.108217:0.347432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean  ,   dos conjuntos no vacíos,   una función biyec-:@0.188303:0.363916:0.595744:0.363916:0.595744:0.347418:0.188303:0.347418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.235040:0.364031:0.263495:0.364031:0.263495:0.347563:0.235040:0.347563:0.000000:0.000000:0.000000
f:@0.452603:0.364031:0.456899:0.364031:0.456899:0.347563:0.452603:0.347563:0.000000
tiva de   en  . Se define la función inversa   de   en   mediante la :@0.108217:0.381266:0.599913:0.381273:0.599913:0.364776:0.108217:0.364769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.161235:0.381382:0.172505:0.381382:0.172505:0.364913:0.161235:0.364913:0.000000
B:@0.199496:0.381382:0.208685:0.381382:0.208685:0.364913:0.199496:0.364913:0.000000
f:@0.416689:0.381382:0.420985:0.381382:0.420985:0.364913:0.416689:0.364913:0.000000
–1:@0.420999:0.374920:0.432073:0.374920:0.432073:0.365302:0.420999:0.365302:0.000000:0.000000
B:@0.459373:0.381389:0.468562:0.381389:0.468562:0.364920:0.459373:0.364920:0.000000
A:@0.495553:0.381389:0.506823:0.381389:0.506823:0.364920:0.495553:0.364920:0.000000
siguiente relación::@0.108225:0.398624:0.234027:0.398624:0.234027:0.382126:0.108225:0.382126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.226571:0.416091:0.234046:0.416091:0.234046:0.399622:0.226571:0.399622:0.000000
    ,      ,      =  ( ) :@0.233815:0.415975:0.388929:0.415975:0.388929:0.399477:0.233815:0.399477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.237729:0.415456:0.252382:0.415456:0.252382:0.402083:0.237729:0.402083:0.000000
A y:@0.256082:0.416091:0.281936:0.416091:0.281936:0.399622:0.256082:0.399622:0.000000:0.000000:0.000000
:@0.286462:0.415456:0.301114:0.415456:0.301114:0.402083:0.286462:0.402083:0.000000
B:@0.305626:0.416091:0.314815:0.416091:0.314815:0.399622:0.305626:0.399622:0.000000
y f x:@0.334331:0.416091:0.378834:0.416091:0.378834:0.399622:0.334331:0.399622:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.388929:0.415469:0.409003:0.415469:0.409003:0.397757:0.388929:0.397757:0.000000
   =  ( ).:@0.409003:0.415975:0.477426:0.415975:0.477426:0.399477:0.409003:0.399477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f y:@0.413145:0.416091:0.468718:0.416091:0.468718:0.399622:0.413145:0.399622:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.444005:0.409623:0.455079:0.409623:0.455079:0.400005:0.444005:0.400005:0.000000:0.000000
Ejercicios resueltos:@0.108226:0.448030:0.238881:0.448030:0.238881:0.431244:0.108226:0.431244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108226:0.465222:0.120498:0.465222:0.120498:0.448508:0.108226:0.448508:0.000000:0.000000
  Sea   = { ,  ,  },   = {0, 1, 2}. y   la función de   en   definida como :@0.120499:0.465006:0.600026:0.465006:0.600026:0.448508:0.120499:0.448508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.159703:0.465122:0.170973:0.465122:0.170973:0.448653:0.159703:0.448653:0.000000
a b c B:@0.194881:0.465122:0.254469:0.465122:0.254469:0.448653:0.194881:0.448653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.340296:0.465122:0.344592:0.465122:0.344592:0.448653:0.340296:0.448653:0.000000
A:@0.443573:0.465122:0.454843:0.465122:0.454843:0.448653:0.443573:0.448653:0.000000
B:@0.479637:0.465122:0.488827:0.465122:0.488827:0.448653:0.479637:0.448653:0.000000
f a:@0.131980:0.482472:0.151207:0.482472:0.151207:0.466004:0.131980:0.466004:0.000000:0.000000:0.000000
( ) = 0,    ( ) = 1,  ( ) = 2.:@0.136277:0.482357:0.313613:0.482357:0.313613:0.465859:0.136277:0.465859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f b:@0.199929:0.482472:0.219445:0.482472:0.219445:0.466004:0.199929:0.466004:0.000000:0.000000:0.000000
f c:@0.259882:0.482472:0.277318:0.482472:0.277318:0.466004:0.259882:0.466004:0.000000:0.000000:0.000000
Obviamente  es biyectiva. Determinemos  . Tenemos::@0.131981:0.499707:0.523629:0.499711:0.523629:0.483213:0.131981:0.483210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.225206:0.499823:0.229502:0.499823:0.229502:0.483354:0.225206:0.483354:0.000000
f:@0.433652:0.499823:0.437948:0.499823:0.437948:0.483354:0.433652:0.483354:0.000000
–1:@0.437942:0.493359:0.449016:0.493359:0.449016:0.483741:0.437942:0.483741:0.000000:0.000000
 :@0.108234:0.517062:0.112376:0.517062:0.112376:0.500564:0.108234:0.500564:0.000000
0 =  ( ) :@0.131970:0.517062:0.188763:0.517062:0.188763:0.500564:0.131970:0.500564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f a:@0.159442:0.517178:0.178669:0.517178:0.178669:0.500709:0.159442:0.500709:0.000000:0.000000:0.000000
⇔:@0.188725:0.516556:0.208799:0.516556:0.208799:0.498844:0.188725:0.498844:0.000000
   =  (0),   1 =  ( ) :@0.208799:0.517062:0.348730:0.517062:0.348730:0.500564:0.208799:0.500564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a f:@0.212884:0.517178:0.245134:0.517178:0.245134:0.500709:0.212884:0.500709:0.000000:0.000000:0.000000
–1:@0.245162:0.510710:0.256236:0.510710:0.256236:0.501092:0.245162:0.501092:0.000000:0.000000
f b:@0.319119:0.517178:0.338635:0.517178:0.338635:0.500709:0.319119:0.500709:0.000000:0.000000:0.000000
⇔:@0.348710:0.516556:0.368785:0.516556:0.368785:0.498844:0.348710:0.498844:0.000000
   =  (1),   2 =  ( ) :@0.368785:0.517062:0.506916:0.517062:0.506916:0.500564:0.368785:0.500564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b f:@0.372869:0.517178:0.405408:0.517178:0.405408:0.500709:0.372869:0.500709:0.000000:0.000000:0.000000
–1:@0.405431:0.510710:0.416505:0.510710:0.416505:0.501092:0.405431:0.501092:0.000000:0.000000
f c:@0.479386:0.517178:0.496821:0.517178:0.496821:0.500709:0.479386:0.500709:0.000000:0.000000:0.000000
⇔:@0.506897:0.516556:0.526971:0.516556:0.526971:0.498844:0.506897:0.498844:0.000000
   =  (2).:@0.526971:0.517062:0.595768:0.517062:0.595768:0.500564:0.526971:0.500564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c f:@0.531055:0.517178:0.561514:0.517178:0.561514:0.500709:0.531055:0.500709:0.000000:0.000000:0.000000
–1:@0.561536:0.510710:0.572611:0.510710:0.572611:0.501092:0.561536:0.501092:0.000000:0.000000
 :@0.108241:0.541542:0.112383:0.541542:0.112383:0.525044:0.108241:0.525044:0.000000
La función   de   en   está definida como  (0) =  ,    (1) =  , :@0.131976:0.541542:0.599922:0.541540:0.599922:0.525043:0.131976:0.525044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.212156:0.541657:0.216452:0.541657:0.216452:0.525188:0.212156:0.525188:0.000000
–1:@0.216442:0.535189:0.227516:0.535189:0.227516:0.525570:0.216442:0.525570:0.000000:0.000000
B:@0.254352:0.541656:0.263541:0.541656:0.263541:0.525187:0.254352:0.525187:0.000000
A:@0.290069:0.541656:0.301340:0.541656:0.301340:0.525187:0.290069:0.525187:0.000000
f:@0.447524:0.541656:0.451821:0.541656:0.451821:0.525187:0.447524:0.525187:0.000000
–1:@0.451771:0.535189:0.462845:0.535189:0.462845:0.525570:0.451771:0.525570:0.000000:0.000000
a f:@0.503032:0.541656:0.532527:0.541656:0.532527:0.525187:0.503032:0.525187:0.000000:0.000000:0.000000
–1:@0.532498:0.535189:0.543572:0.535189:0.543572:0.525570:0.532498:0.525570:0.000000:0.000000
b:@0.583758:0.541656:0.593025:0.541656:0.593025:0.525187:0.583758:0.525187:0.000000
f:@0.131969:0.559007:0.136265:0.559007:0.136265:0.542538:0.131969:0.542538:0.000000
–1:@0.136273:0.552539:0.147348:0.552539:0.147348:0.542921:0.136273:0.542921:0.000000:0.000000
(2) =  .:@0.147347:0.558891:0.196781:0.558891:0.196781:0.542393:0.147347:0.542393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.186840:0.559007:0.194026:0.559007:0.194026:0.542538:0.186840:0.542538:0.000000
2.:@0.108238:0.592306:0.120510:0.592306:0.120510:0.575591:0.108238:0.575591:0.000000:0.000000
  Sean   = { ,  ,  ,  },   = {1, 2, 3, 4},   = { ,  ,  ,  }. Consideramos las :@0.120511:0.592089:0.599964:0.592089:0.599964:0.575591:0.120511:0.575591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.169617:0.592204:0.180887:0.592204:0.180887:0.575736:0.169617:0.575736:0.000000
a b c d B:@0.205528:0.592204:0.282126:0.592204:0.282126:0.575736:0.205528:0.575736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.373578:0.592204:0.383616:0.592204:0.383616:0.575736:0.373578:0.575736:0.000000
i j k m:@0.408256:0.592204:0.459116:0.592204:0.459116:0.575736:0.408256:0.575736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones   y   definidas como se indica a continuación: :@0.132011:0.609440:0.531315:0.609440:0.531315:0.592942:0.132011:0.592942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.205545:0.609555:0.233383:0.609555:0.233383:0.593086:0.205545:0.593086:0.000000:0.000000:0.000000
 :@0.108277:0.626790:0.112419:0.626790:0.112419:0.610293:0.108277:0.610293:0.000000
f a:@0.132011:0.626906:0.151238:0.626906:0.151238:0.610437:0.132011:0.610437:0.000000:0.000000:0.000000
( ) = 2,    ( ) = 4,    ( ) = 1,    ( ) = 3,:@0.136308:0.626790:0.390070:0.626790:0.390070:0.610293:0.136308:0.610293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f b:@0.199960:0.626906:0.219476:0.626906:0.219476:0.610437:0.199960:0.610437:0.000000:0.000000:0.000000
f c:@0.268198:0.626906:0.285633:0.626906:0.285633:0.610437:0.268198:0.610437:0.000000:0.000000:0.000000
f d:@0.334354:0.626906:0.353774:0.626906:0.353774:0.610437:0.334354:0.610437:0.000000:0.000000:0.000000
 :@0.108277:0.644141:0.112419:0.644141:0.112419:0.627643:0.108277:0.627643:0.000000
g:@0.132011:0.644257:0.139448:0.644257:0.139448:0.627788:0.132011:0.627788:0.000000
(1) =  ,    (2) =  ,    (3) =  ,    (4) =  .:@0.139448:0.644141:0.398720:0.644141:0.398720:0.627643:0.139448:0.627643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k g:@0.178942:0.644257:0.209805:0.644257:0.209805:0.627788:0.178942:0.627788:0.000000:0.000000:0.000000
m g:@0.249298:0.644257:0.286711:0.644257:0.286711:0.627788:0.249298:0.627788:0.000000:0.000000:0.000000
j g:@0.326205:0.644257:0.352676:0.644257:0.352676:0.627788:0.326205:0.627788:0.000000:0.000000:0.000000
i:@0.392169:0.644257:0.395965:0.644257:0.395965:0.627788:0.392169:0.627788:0.000000
 :@0.108277:0.668621:0.112419:0.668621:0.112419:0.652123:0.108277:0.652123:0.000000
Claramente, las funciones   y   son biyectivas. Las funciones inver-:@0.132011:0.668621:0.595803:0.668621:0.595803:0.652123:0.132011:0.652123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.317324:0.668736:0.345162:0.668736:0.345162:0.652268:0.317324:0.652268:0.000000:0.000000:0.000000
sas   y   se definen a continuación: :@0.132011:0.685971:0.401525:0.685966:0.401525:0.669469:0.132011:0.669474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.156921:0.686087:0.161218:0.686087:0.161218:0.669618:0.156921:0.669618:0.000000
–1:@0.161182:0.679613:0.172257:0.679613:0.172257:0.669995:0.161182:0.669995:0.000000:0.000000
g:@0.188361:0.686082:0.195798:0.686082:0.195798:0.669613:0.188361:0.669613:0.000000
–1:@0.195798:0.679613:0.206872:0.679613:0.206872:0.669995:0.195798:0.669995:0.000000:0.000000
 :@0.108234:0.703317:0.112376:0.703317:0.112376:0.686820:0.108234:0.686820:0.000000
f:@0.131976:0.703433:0.136272:0.703433:0.136272:0.686964:0.131976:0.686964:0.000000
–1:@0.136273:0.696964:0.147348:0.696964:0.147348:0.687346:0.136273:0.687346:0.000000:0.000000
(1) =  ,    (2) =  ,    (3) =  ,    (4) =  ,:@0.147347:0.703317:0.434327:0.703317:0.434327:0.686820:0.147347:0.686820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c f:@0.186840:0.703433:0.213503:0.703433:0.213503:0.686964:0.186840:0.686964:0.000000:0.000000:0.000000
–1:@0.213502:0.696964:0.224576:0.696964:0.224576:0.687346:0.213502:0.687346:0.000000:0.000000
a f:@0.264071:0.703433:0.292525:0.703433:0.292525:0.686964:0.264071:0.686964:0.000000:0.000000:0.000000
–1:@0.292523:0.696964:0.303597:0.696964:0.303597:0.687346:0.292523:0.687346:0.000000:0.000000
d f:@0.343092:0.703433:0.371739:0.703433:0.371739:0.686964:0.343092:0.686964:0.000000:0.000000:0.000000
–1:@0.371737:0.696964:0.382811:0.696964:0.382811:0.687346:0.371737:0.687346:0.000000:0.000000
b:@0.422305:0.703433:0.431572:0.703433:0.431572:0.686964:0.422305:0.686964:0.000000
 :@0.108224:0.720668:0.112366:0.720668:0.112366:0.704170:0.108224:0.704170:0.000000
g i:@0.131958:0.720784:0.160236:0.720784:0.160236:0.704315:0.131958:0.704315:0.000000:0.000000:0.000000
–1:@0.139413:0.714315:0.150487:0.714315:0.150487:0.704697:0.139413:0.704697:0.000000:0.000000
( ) = 4,    ( ) = 3,    ( ) = 1,    ( ) = 2.:@0.150488:0.720668:0.445384:0.720668:0.445384:0.704170:0.150488:0.704170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.208958:0.720784:0.216394:0.720784:0.216394:0.704315:0.208958:0.704315:0.000000
–1:@0.216392:0.714315:0.227466:0.714315:0.227466:0.704697:0.216392:0.704697:0.000000:0.000000
j:@0.235828:0.720784:0.239681:0.720784:0.239681:0.704315:0.235828:0.704315:0.000000
g k:@0.288403:0.720784:0.321110:0.720784:0.321110:0.704315:0.288403:0.704315:0.000000:0.000000:0.000000
–1:@0.295836:0.714315:0.306911:0.714315:0.306911:0.704697:0.295836:0.704697:0.000000:0.000000
g m:@0.369832:0.720784:0.409089:0.720784:0.409089:0.704315:0.369832:0.704315:0.000000:0.000000:0.000000
–1:@0.377266:0.714315:0.388341:0.714315:0.388341:0.704697:0.377266:0.704697:0.000000:0.000000
 :@0.108223:0.749339:0.112365:0.749339:0.112365:0.732842:0.108223:0.732842:0.000000
Entonces, la función :@0.131958:0.749339:0.279029:0.749339:0.279029:0.732842:0.131958:0.732842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f    g:@0.279029:0.749455:0.317515:0.749450:0.317515:0.732981:0.279029:0.732986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.283341:0.742981:0.294415:0.742981:0.294415:0.733363:0.283341:0.733363:0.000000:0.000000
:@0.298558:0.749624:0.304973:0.749624:0.304973:0.736177:0.298558:0.736177:0.000000
–1:@0.317514:0.742981:0.328588:0.742981:0.328588:0.733363:0.317514:0.733363:0.000000:0.000000
 se define como sigue: :@0.328587:0.749334:0.488948:0.749334:0.488948:0.732837:0.328587:0.732837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.131966:0.766685:0.137919:0.766685:0.137919:0.750187:0.131966:0.750187:0.000000
f    g:@0.137919:0.766801:0.176398:0.766801:0.176398:0.750332:0.137919:0.750332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.142225:0.760332:0.153300:0.760332:0.153300:0.750714:0.142225:0.750714:0.000000:0.000000
:@0.157441:0.766974:0.163856:0.766974:0.163856:0.753528:0.157441:0.753528:0.000000
–1:@0.176399:0.760332:0.187473:0.760332:0.187473:0.750714:0.176399:0.750714:0.000000:0.000000
)( ) =  ( ( )) =  (4) =  ,:@0.187472:0.766685:0.375682:0.766685:0.375682:0.750187:0.187472:0.750187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.199378:0.766801:0.203173:0.766801:0.203173:0.750332:0.199378:0.750332:0.000000
f g i:@0.228218:0.766801:0.277799:0.766801:0.277799:0.750332:0.228218:0.750332:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.232512:0.760332:0.243587:0.760332:0.243587:0.750714:0.232512:0.750714:0.000000:0.000000
–1:@0.256976:0.760332:0.268050:0.760332:0.268050:0.750714:0.256976:0.750714:0.000000:0.000000
f:@0.308797:0.766801:0.313093:0.766801:0.313093:0.750332:0.308797:0.750332:0.000000
–1:@0.313091:0.760332:0.324166:0.760332:0.324166:0.750714:0.313091:0.750714:0.000000:0.000000
b:@0.363660:0.766801:0.372927:0.766801:0.372927:0.750332:0.363660:0.750332:0.000000
(:@0.131976:0.784036:0.137929:0.784036:0.137929:0.767538:0.131976:0.767538:0.000000
f    g:@0.137929:0.784152:0.176398:0.784152:0.176398:0.767683:0.137929:0.767683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.142225:0.777683:0.153300:0.777683:0.153300:0.768065:0.142225:0.768065:0.000000:0.000000
:@0.157441:0.784325:0.163856:0.784325:0.163856:0.770878:0.157441:0.770878:0.000000
–1:@0.176399:0.777683:0.187473:0.777683:0.187473:0.768065:0.176399:0.768065:0.000000:0.000000
)( ) =  ( ( )) =  (3) = :@0.187472:0.784036:0.368110:0.784036:0.368110:0.767538:0.187472:0.767538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.202268:0.784152:0.206121:0.784152:0.206121:0.767683:0.202268:0.767683:0.000000
f g j:@0.231165:0.784152:0.282249:0.784152:0.282249:0.767683:0.231165:0.767683:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.235461:0.777683:0.246535:0.777683:0.246535:0.768065:0.235461:0.768065:0.000000:0.000000
–1:@0.259924:0.777683:0.270999:0.777683:0.270999:0.768065:0.259924:0.768065:0.000000:0.000000
f:@0.313246:0.784152:0.317543:0.784152:0.317543:0.767683:0.313246:0.767683:0.000000
–1:@0.317543:0.777683:0.328617:0.777683:0.328617:0.768065:0.317543:0.768065:0.000000:0.000000
d,:@0.368110:0.784152:0.380170:0.784152:0.380170:0.767683:0.368110:0.767683:0.000000:0.000000
(:@0.131976:0.801387:0.137929:0.801387:0.137929:0.784889:0.131976:0.784889:0.000000
f    g:@0.137929:0.801502:0.176398:0.801502:0.176398:0.785034:0.137929:0.785034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.142225:0.795034:0.153300:0.795034:0.153300:0.785416:0.142225:0.785416:0.000000:0.000000
:@0.157441:0.801676:0.163856:0.801676:0.163856:0.788229:0.157441:0.788229:0.000000
–1:@0.176399:0.795034:0.187473:0.795034:0.187473:0.785416:0.176399:0.785416:0.000000:0.000000
)( ) =  ( ( )) =  (1) =  ,:@0.187472:0.801387:0.382502:0.801387:0.382502:0.784889:0.187472:0.784889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.199378:0.801502:0.207623:0.801502:0.207623:0.785034:0.199378:0.785034:0.000000
f g k:@0.232668:0.801502:0.286699:0.801502:0.286699:0.785034:0.232668:0.785034:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.236963:0.795034:0.248038:0.795034:0.248038:0.785416:0.236963:0.785416:0.000000:0.000000
–1:@0.261427:0.795034:0.272501:0.795034:0.272501:0.785416:0.261427:0.785416:0.000000:0.000000
f:@0.317697:0.801502:0.321993:0.801502:0.321993:0.785034:0.317697:0.785034:0.000000
–1:@0.321992:0.795034:0.333066:0.795034:0.333066:0.785416:0.321992:0.785416:0.000000:0.000000
c:@0.372561:0.801502:0.379747:0.801502:0.379747:0.785034:0.372561:0.785034:0.000000
(:@0.131976:0.818737:0.137929:0.818737:0.137929:0.802240:0.131976:0.802240:0.000000
f    g:@0.137929:0.818853:0.176398:0.818853:0.176398:0.802384:0.137929:0.802384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.142225:0.812384:0.153300:0.812384:0.153300:0.802766:0.142225:0.802766:0.000000:0.000000
:@0.157441:0.819027:0.163856:0.819027:0.163856:0.805580:0.157441:0.805580:0.000000
–1:@0.176399:0.812384:0.187473:0.812384:0.187473:0.802766:0.176399:0.802766:0.000000:0.000000
)( ) =  ( ( )) =  (2) =  ,:@0.187472:0.818737:0.397394:0.818737:0.397394:0.802240:0.187472:0.802240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.199378:0.818853:0.214174:0.818853:0.214174:0.802384:0.199378:0.802384:0.000000
f g m:@0.239218:0.818853:0.299799:0.818853:0.299799:0.802384:0.239218:0.802384:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.243514:0.812384:0.254588:0.812384:0.254588:0.802766:0.243514:0.802766:0.000000:0.000000
–1:@0.267977:0.812384:0.279052:0.812384:0.279052:0.802766:0.267977:0.802766:0.000000:0.000000
f:@0.330797:0.818853:0.335093:0.818853:0.335093:0.802384:0.330797:0.802384:0.000000
–1:@0.335092:0.812384:0.346167:0.812384:0.346167:0.802766:0.335092:0.802766:0.000000:0.000000
a:@0.385661:0.818853:0.394639:0.818853:0.394639:0.802384:0.385661:0.802384:0.000000
   y la función (:@0.108241:0.836088:0.224813:0.836088:0.224813:0.819591:0.108241:0.819591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g   f:@0.224813:0.836204:0.252211:0.836204:0.252211:0.819735:0.224813:0.819735:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.236394:0.836377:0.242809:0.836377:0.242809:0.822931:0.236394:0.822931:0.000000
)  se obtiene del modo siguiente: :@0.252211:0.836088:0.494558:0.836088:0.494558:0.819591:0.252211:0.819591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.258162:0.829735:0.269236:0.829735:0.269236:0.820117:0.258162:0.820117:0.000000:0.000000
(:@0.131971:0.864760:0.137924:0.864760:0.137924:0.848262:0.131971:0.848262:0.000000
g   f a:@0.137924:0.864875:0.186203:0.864875:0.186203:0.848407:0.137924:0.848407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.149503:0.865049:0.155918:0.865049:0.155918:0.851602:0.149503:0.851602:0.000000
)( ) =  ( ( )) =  (2) =       (:@0.165319:0.864760:0.378123:0.864760:0.378123:0.848262:0.165319:0.848262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g f a:@0.211248:0.864875:0.243864:0.864875:0.243864:0.848407:0.211248:0.848407:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.274862:0.864875:0.282298:0.864875:0.282298:0.848407:0.274862:0.848407:0.000000
m:@0.321792:0.864875:0.336587:0.864875:0.336587:0.848407:0.321792:0.848407:0.000000
⇒:@0.344872:0.864254:0.363886:0.864254:0.363886:0.846541:0.344872:0.846541:0.000000
g   f:@0.378123:0.864875:0.405519:0.864875:0.405519:0.848407:0.378123:0.848407:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.389702:0.865049:0.396117:0.865049:0.396117:0.851602:0.389702:0.851602:0.000000
) ( ) =  ,:@0.405519:0.864760:0.480068:0.864755:0.480068:0.848257:0.405519:0.848262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.411467:0.858402:0.422541:0.858402:0.422541:0.848784:0.411467:0.848784:0.000000:0.000000
m:@0.428494:0.864870:0.443290:0.864870:0.443290:0.848402:0.428494:0.848402:0.000000
a:@0.468335:0.864870:0.477313:0.864870:0.477313:0.848402:0.468335:0.848402:0.000000
(:@0.131963:0.882105:0.137916:0.882105:0.137916:0.865608:0.131963:0.865608:0.000000
g   f b:@0.137916:0.882221:0.186483:0.882221:0.186483:0.865752:0.137916:0.865752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.149494:0.882395:0.155910:0.882395:0.155910:0.868948:0.149494:0.868948:0.000000
)( ) =  ( ( )) =  (4) =       (:@0.165311:0.882105:0.367692:0.882105:0.367692:0.865608:0.165311:0.865608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g f b:@0.211528:0.882221:0.244433:0.882221:0.244433:0.865752:0.211528:0.865752:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.275431:0.882221:0.282868:0.882221:0.282868:0.865752:0.275431:0.865752:0.000000
i:@0.322361:0.882221:0.326157:0.882221:0.326157:0.865752:0.322361:0.865752:0.000000
⇒:@0.334441:0.881599:0.353455:0.881599:0.353455:0.863887:0.334441:0.863887:0.000000
g   f:@0.367692:0.882221:0.395088:0.882221:0.395088:0.865752:0.367692:0.865752:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.379271:0.882395:0.385686:0.882395:0.385686:0.868948:0.379271:0.868948:0.000000
) ( ) =  ,:@0.395088:0.882105:0.458933:0.882105:0.458933:0.865608:0.395088:0.865608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.401045:0.875752:0.412119:0.875752:0.412119:0.866134:0.401045:0.866134:0.000000:0.000000
i:@0.418071:0.882221:0.421866:0.882221:0.421866:0.865752:0.418071:0.865752:0.000000
b:@0.446911:0.882221:0.456178:0.882221:0.456178:0.865752:0.446911:0.865752:0.000000
(:@0.131963:0.899456:0.137916:0.899456:0.137916:0.882958:0.131963:0.882958:0.000000
g   f c:@0.137916:0.899572:0.184403:0.899572:0.184403:0.883103:0.137916:0.883103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.149494:0.899745:0.155910:0.899745:0.155910:0.886298:0.149494:0.886298:0.000000
)( ) =  ( ( )) =  (1) =       (:@0.165311:0.899456:0.367981:0.899456:0.367981:0.882958:0.165311:0.882958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g f c:@0.209448:0.899572:0.240272:0.899572:0.240272:0.883103:0.209448:0.883103:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.271270:0.899572:0.278706:0.899572:0.278706:0.883103:0.271270:0.883103:0.000000
k:@0.318200:0.899572:0.326446:0.899572:0.326446:0.883103:0.318200:0.883103:0.000000
⇒:@0.334730:0.898950:0.353744:0.898950:0.353744:0.881238:0.334730:0.881238:0.000000
g   f:@0.367981:0.899572:0.395377:0.899572:0.395377:0.883103:0.367981:0.883103:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.379560:0.899745:0.385975:0.899745:0.385975:0.886298:0.379560:0.886298:0.000000
) ( ) =  ,:@0.395377:0.899456:0.461592:0.899456:0.461592:0.882958:0.395377:0.882958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.401333:0.893103:0.412407:0.893103:0.412407:0.883485:0.401333:0.883485:0.000000:0.000000
k:@0.418361:0.899572:0.426606:0.899572:0.426606:0.883103:0.418361:0.883103:0.000000
c:@0.451651:0.899572:0.458837:0.899572:0.458837:0.883103:0.451651:0.883103:0.000000
(:@0.131963:0.916807:0.137916:0.916807:0.137916:0.900309:0.131963:0.900309:0.000000
g   f d:@0.137916:0.916922:0.186387:0.916922:0.186387:0.900453:0.137916:0.900453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.149494:0.917096:0.155910:0.917096:0.155910:0.903649:0.149494:0.903649:0.000000
)( ) =  ( ( )) =  (3) =       (:@0.165311:0.916807:0.367558:0.916807:0.367558:0.900309:0.165311:0.900309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g f d:@0.211432:0.916922:0.244241:0.916922:0.244241:0.900453:0.211432:0.900453:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.275239:0.916922:0.282675:0.916922:0.282675:0.900453:0.275239:0.900453:0.000000
j:@0.322169:0.916922:0.326022:0.916922:0.326022:0.900453:0.322169:0.900453:0.000000
⇒:@0.334306:0.916300:0.353321:0.916300:0.353321:0.898588:0.334306:0.898588:0.000000
g   f:@0.367558:0.916922:0.394953:0.916922:0.394953:0.900453:0.367558:0.900453:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.379136:0.917096:0.385551:0.917096:0.385551:0.903649:0.379136:0.903649:0.000000
) ( ) =  . :@0.394953:0.916807:0.462902:0.916807:0.462902:0.900309:0.394953:0.900309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.400909:0.910454:0.411983:0.910454:0.411983:0.900836:0.400909:0.900836:0.000000:0.000000
j:@0.417937:0.916922:0.421790:0.916922:0.421790:0.900453:0.417937:0.900453:0.000000
d:@0.446835:0.916922:0.456005:0.916922:0.456005:0.900453:0.446835:0.900453:0.000000
 :@0.108229:0.948486:0.112371:0.948486:0.112371:0.931988:0.108229:0.931988:0.000000
Comparando los resultados, se concluye que (:@0.131963:0.948486:0.459312:0.948486:0.459312:0.931988:0.131963:0.931988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g   f:@0.459312:0.948602:0.486713:0.948602:0.486713:0.932133:0.459312:0.932133:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.470896:0.948775:0.477312:0.948775:0.477312:0.935328:0.470896:0.935328:0.000000
)  = :@0.486713:0.948486:0.522839:0.948491:0.522839:0.931993:0.486713:0.931988:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.492672:0.942138:0.503746:0.942138:0.503746:0.932520:0.492672:0.932520:0.000000:0.000000
f    g:@0.522839:0.948606:0.561307:0.948606:0.561307:0.932137:0.522839:0.932137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.527133:0.942138:0.538208:0.942138:0.538208:0.932520:0.527133:0.932520:0.000000:0.000000
:@0.542350:0.948780:0.548766:0.948780:0.548766:0.935333:0.542350:0.935333:0.000000
–1:@0.561307:0.942138:0.572381:0.942138:0.572381:0.932520:0.561307:0.932520:0.000000:0.000000
.:@0.572382:0.948491:0.575137:0.948491:0.575137:0.931993:0.572382:0.931993:0.000000
x:@0.359222:0.113418:0.366697:0.113418:0.366697:0.096949:0.359222:0.096949:0.000000
2 :@0.366697:0.106949:0.374065:0.106949:0.374065:0.097331:0.366697:0.097331:0.000000:0.000000
+ 1:@0.374065:0.113302:0.397511:0.113302:0.397511:0.096805:0.374065:0.096805:0.000000:0.000000:0.000000
3:@0.374123:0.129641:0.382619:0.129641:0.382619:0.113143:0.374123:0.113143:0.000000
x:@0.464923:0.113418:0.472398:0.113418:0.472398:0.096949:0.464923:0.096949:0.000000
2:@0.472398:0.106949:0.477352:0.106949:0.477352:0.097331:0.472398:0.097331:0.000000
3:@0.466890:0.129647:0.475386:0.129647:0.475386:0.113150:0.466890:0.113150:0.000000
4:@0.504325:0.113302:0.512821:0.113302:0.512821:0.096805:0.504325:0.096805:0.000000
3:@0.504325:0.129641:0.512821:0.129641:0.512821:0.113143:0.504325:0.113143:0.000000
x:@0.281898:0.149910:0.289373:0.149910:0.289373:0.133441:0.281898:0.133441:0.000000
3:@0.281378:0.166133:0.289874:0.166133:0.289874:0.149635:0.281378:0.149635:0.000000
x:@0.363035:0.149910:0.370510:0.149910:0.370510:0.133441:0.363035:0.133441:0.000000
3:@0.362515:0.166133:0.371011:0.166133:0.371011:0.149635:0.362515:0.149635:0.000000
x:@0.457799:0.149910:0.465274:0.149910:0.465274:0.133441:0.457799:0.133441:0.000000
3:@0.457278:0.166133:0.465774:0.166133:0.465774:0.149635:0.457278:0.149635:0.000000
Competencia :@0.684484:0.096666:0.782107:0.096666:0.782107:0.081193:0.684484:0.081193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684484:0.109234:0.768546:0.109234:0.768546:0.093761:0.684484:0.093761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema:@0.684722:0.134129:0.745634:0.134129:0.745634:0.118657:0.684722:0.118657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean  ,  ,  ,   :@0.745601:0.133707:0.846989:0.133707:0.846989:0.118644:0.745601:0.118644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C D:@0.786163:0.133813:0.843208:0.133813:0.843208:0.118776:0.786163:0.118776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjuntos no vacíos  :     :@0.638178:0.149549:0.814518:0.149549:0.814518:0.134486:0.638178:0.134486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f A:@0.771458:0.149655:0.791862:0.149655:0.791862:0.134618:0.771458:0.134618:0.000000:0.000000:0.000000
→:@0.795996:0.156944:0.810736:0.156944:0.810736:0.138808:0.795996:0.138808:0.000000
B, :@0.814694:0.149655:0.829523:0.149655:0.829523:0.134618:0.814694:0.134618:0.000000:0.000000:0.000000
g B:@0.638178:0.165497:0.659550:0.165497:0.659550:0.150460:0.638178:0.150460:0.000000:0.000000:0.000000
:     :@0.644933:0.165391:0.682206:0.165391:0.682206:0.150328:0.644933:0.150328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.663684:0.172786:0.678424:0.172786:0.678424:0.154650:0.663684:0.154650:0.000000
C, h C:@0.682382:0.165497:0.722698:0.165497:0.722698:0.150460:0.682382:0.150460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:      tres aplica-:@0.707307:0.165391:0.829837:0.165391:0.829837:0.150328:0.707307:0.150328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.726832:0.172786:0.741572:0.172786:0.741572:0.154650:0.726832:0.154650:0.000000
D :@0.745530:0.165497:0.760112:0.165497:0.760112:0.150460:0.745530:0.150460:0.000000:0.000000
ciones, entonces: :@0.638178:0.181233:0.751157:0.181233:0.751157:0.166170:0.638178:0.166170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.675276:0.204204:0.680711:0.204204:0.680711:0.189141:0.675276:0.189141:0.000000
h   g  f h    g  f:@0.680711:0.204310:0.801291:0.204310:0.801291:0.189273:0.680711:0.189273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.693077:0.204574:0.698934:0.204574:0.698934:0.192296:0.693077:0.192296:0.000000
)   = :@0.709506:0.204204:0.749717:0.204204:0.749717:0.189141:0.709506:0.189141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.718723:0.204574:0.724581:0.204574:0.724581:0.192296:0.718723:0.192296:0.000000
:@0.762082:0.204574:0.767940:0.204574:0.767940:0.192296:0.762082:0.192296:0.000000
(   ).:@0.771722:0.204204:0.809241:0.204204:0.809241:0.189141:0.771722:0.189141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.787729:0.204574:0.793586:0.204574:0.793586:0.192296:0.787729:0.192296:0.000000
Teorema :@0.638178:0.236310:0.705214:0.236310:0.705214:0.220838:0.638178:0.220838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean  ,   dos con-:@0.699057:0.235888:0.824668:0.235888:0.824668:0.220825:0.699057:0.220825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.739514:0.235994:0.764387:0.235994:0.764387:0.220957:0.739514:0.220957:0.000000:0.000000:0.000000
juntos no vacíos,   una función :@0.638178:0.251730:0.839267:0.251730:0.839267:0.236667:0.638178:0.236667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.749609:0.251836:0.753532:0.251836:0.753532:0.236799:0.749609:0.236799:0.000000
biyectiva de   en  , entonces::@0.638178:0.267572:0.829083:0.267572:0.829083:0.252509:0.638178:0.252509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.719214:0.267677:0.729504:0.267677:0.729504:0.252641:0.719214:0.252641:0.000000
B:@0.752918:0.267677:0.761308:0.267677:0.761308:0.252641:0.752918:0.252641:0.000000
i.:@0.638178:0.290741:0.645126:0.290741:0.645126:0.275480:0.638178:0.275480:0.000000:0.000000
 :@0.645126:0.290543:0.648907:0.290543:0.648907:0.275480:0.645126:0.275480:0.000000
f:@0.654800:0.290648:0.658723:0.290648:0.658723:0.275612:0.654800:0.275612:0.000000
–1:@0.658727:0.284741:0.668838:0.284741:0.668838:0.275959:0.658727:0.275959:0.000000:0.000000
 es biyectiva.:@0.668839:0.290542:0.750068:0.290542:0.750068:0.275478:0.668839:0.275478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii.:@0.638179:0.313710:0.649015:0.313710:0.649015:0.298449:0.638179:0.298449:0.000000:0.000000:0.000000
   :@0.649014:0.313512:0.662506:0.313512:0.662506:0.298449:0.649014:0.298449:0.000000:0.000000:0.000000
f  f:@0.654802:0.313618:0.676068:0.313618:0.676068:0.298581:0.654802:0.298581:0.000000:0.000000:0.000000:0.000000
:@0.662506:0.313882:0.668364:0.313882:0.668364:0.301605:0.662506:0.301605:0.000000
–1:@0.676071:0.307712:0.686182:0.307712:0.686182:0.298930:0.676071:0.298930:0.000000:0.000000
 =  .:@0.686182:0.313511:0.714731:0.313511:0.714731:0.298448:0.686182:0.298448:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.703614:0.313617:0.707273:0.313617:0.707273:0.298580:0.703614:0.298580:0.000000
B:@0.707324:0.316566:0.712216:0.316566:0.712216:0.307799:0.707324:0.307799:0.000000
iii.:@0.638179:0.336680:0.652902:0.336680:0.652902:0.321419:0.638179:0.321419:0.000000:0.000000:0.000000:0.000000
     =  .:@0.652902:0.336482:0.715857:0.336481:0.715857:0.321418:0.652902:0.321419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.654802:0.336588:0.658724:0.336588:0.658724:0.321551:0.654802:0.321551:0.000000
–1:@0.658727:0.330681:0.668838:0.330681:0.668838:0.321900:0.658727:0.321900:0.000000:0.000000
:@0.672620:0.336850:0.678478:0.336850:0.678478:0.324573:0.672620:0.324573:0.000000
 f I:@0.678478:0.336586:0.707273:0.336586:0.707273:0.321550:0.678478:0.321550:0.000000:0.000000:0.000000:0.000000
A:@0.707342:0.339535:0.713342:0.339535:0.713342:0.330769:0.707342:0.330769:0.000000
iv.:@0.638179:0.359650:0.652058:0.359650:0.652058:0.344389:0.638179:0.344389:0.000000:0.000000:0.000000
     =  .:@0.652058:0.359452:0.704621:0.359452:0.704621:0.344389:0.652058:0.344389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I  f f:@0.654802:0.359557:0.702106:0.359557:0.702106:0.344521:0.654802:0.344521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.658516:0.362505:0.663407:0.362505:0.663407:0.353739:0.658516:0.353739:0.000000
:@0.667189:0.359821:0.673047:0.359821:0.673047:0.347544:0.667189:0.347544:0.000000
v.:@0.638183:0.382621:0.648245:0.382621:0.648245:0.367359:0.638183:0.367359:0.000000:0.000000
   :@0.648245:0.382423:0.662510:0.382423:0.662510:0.367359:0.648245:0.367359:0.000000:0.000000:0.000000
f  I:@0.654805:0.382528:0.675808:0.382528:0.675808:0.367491:0.654805:0.367491:0.000000:0.000000:0.000000:0.000000
:@0.662510:0.382792:0.668367:0.382792:0.668367:0.370515:0.662510:0.370515:0.000000
A:@0.675876:0.385476:0.681875:0.385476:0.681875:0.376710:0.675876:0.376710:0.000000
 =  .:@0.681875:0.382421:0.705745:0.382421:0.705745:0.367358:0.681875:0.367358:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.699307:0.382527:0.703230:0.382527:0.703230:0.367490:0.699307:0.367490:0.000000
Teorema  :@0.638182:0.412944:0.708964:0.412944:0.708964:0.397471:0.638182:0.397471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.  Sean  ,  ,   conjun-:@0.699061:0.412521:0.837740:0.412521:0.837740:0.397458:0.699061:0.397458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C:@0.743264:0.412627:0.783493:0.412627:0.783493:0.397590:0.743264:0.397590:0.000000:0.000000:0.000000:0.000000:0.000000
tos no vacíos,   una función de :@0.638182:0.428363:0.838513:0.428363:0.838513:0.413300:0.638182:0.413300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.728874:0.428469:0.732797:0.428469:0.732797:0.413432:0.728874:0.413432:0.000000
A:@0.638182:0.444311:0.648472:0.444311:0.648472:0.429274:0.638182:0.429274:0.000000
 en  ,   una función de   en   :@0.648437:0.444205:0.843651:0.444205:0.843651:0.429142:0.648437:0.429142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B g:@0.671884:0.444311:0.693256:0.444311:0.693256:0.429274:0.671884:0.429274:0.000000:0.000000:0.000000
B:@0.798900:0.444311:0.807290:0.444311:0.807290:0.429274:0.798900:0.429274:0.000000
C:@0.830704:0.444311:0.839869:0.444311:0.839869:0.429274:0.830704:0.429274:0.000000
con   y   funciones biyectivas, :@0.638182:0.460047:0.831846:0.460047:0.831846:0.444984:0.638182:0.444984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.666431:0.460153:0.691708:0.460153:0.691708:0.445116:0.666431:0.445116:0.000000:0.000000:0.000000
entonces:   :@0.638182:0.475889:0.711004:0.475889:0.711004:0.460826:0.638182:0.460826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.687557:0.498860:0.692992:0.498860:0.692992:0.483797:0.687557:0.483797:0.000000
g   f:@0.692992:0.498966:0.717126:0.498966:0.717126:0.483929:0.692992:0.483929:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.703564:0.499230:0.709421:0.499230:0.709421:0.486952:0.703564:0.486952:0.000000
)  =   :@0.717126:0.498860:0.767913:0.498857:0.767913:0.483794:0.717126:0.483797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.722555:0.493057:0.732667:0.493057:0.732667:0.484275:0.722555:0.484275:0.000000:0.000000
f:@0.750099:0.498963:0.754021:0.498963:0.754021:0.483926:0.750099:0.483926:0.000000
–1:@0.754020:0.493057:0.764131:0.493057:0.764131:0.484275:0.754020:0.484275:0.000000:0.000000
:@0.767913:0.499227:0.773771:0.499227:0.773771:0.486950:0.767913:0.486950:0.000000
 g:@0.773771:0.498963:0.784342:0.498963:0.784342:0.483926:0.773771:0.483926:0.000000:0.000000
–1:@0.784341:0.493057:0.794453:0.493057:0.794453:0.484275:0.784341:0.484275:0.000000:0.000000
.:@0.794453:0.498857:0.796968:0.498857:0.796968:0.483794:0.794453:0.483794:0.000000
Competencia :@0.684899:0.633688:0.782522:0.633688:0.782522:0.618216:0.684899:0.618216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.684899:0.646256:0.795275:0.646256:0.795275:0.630784:0.684899:0.630784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reflexiona:@0.685137:0.671153:0.758224:0.671153:0.758224:0.655681:0.685137:0.655681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre esta :@0.758224:0.670730:0.831238:0.670730:0.831238:0.655667:0.758224:0.655667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frase: Una pena compartida, se :@0.638594:0.686572:0.841790:0.686572:0.841790:0.671509:0.638594:0.671509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divide; una felicidad compartida :@0.638594:0.702414:0.850128:0.702414:0.850128:0.687351:0.638594:0.687351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se multiplica. :@0.638594:0.718256:0.727597:0.718256:0.727597:0.703193:0.638594:0.703193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realiza:@0.638599:0.921153:0.687921:0.921153:0.687921:0.905681:0.638599:0.905681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un :@0.687921:0.920731:0.713022:0.920731:0.713022:0.905667:0.687921:0.905667:0.000000:0.000000:0.000000:0.000000
collage:@0.713022:0.920836:0.755887:0.920836:0.755887:0.905799:0.713022:0.905799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que refleje :@0.755889:0.920731:0.830768:0.920731:0.830768:0.905667:0.755889:0.905667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este pensamiento.:@0.638599:0.936573:0.755622:0.936573:0.755622:0.921509:0.638599:0.921509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay.com:@0.867127:0.894518:0.867127:0.860149:0.855658:0.860149:0.855658:0.894518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000