146:@0.026565:0.967627:0.050760:0.967627:0.050760:0.951847:0.026565:0.951847:0.000000:0.000000:0.000000
El conjunto  . Operaciones :@0.404235:0.119706:0.769263:0.119706:0.769263:0.075047:0.404235:0.075047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.551438:0.117707:0.587724:0.117707:0.587724:0.082629:0.551438:0.082629:0.000000
2:@0.587708:0.103355:0.596381:0.103355:0.596381:0.077319:0.587708:0.077319:0.000000
M.5.2.5. Realizar las operaciones de adición entre elementos de   y de producto por un número escalar de manera analítica aplicando propiedades de los números reales.:@0.142897:0.949580:0.877366:0.949580:0.877366:0.939538:0.142897:0.939538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.414988:0.948991:0.423454:0.948991:0.423454:0.940806:0.414988:0.940806:0.000000
2:@0.423453:0.945714:0.426468:0.945714:0.426468:0.939859:0.423453:0.939859:0.000000
Adición en :@0.404236:0.150601:0.495119:0.150601:0.495119:0.132918:0.404236:0.132918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.495119:0.149107:0.509634:0.149107:0.509634:0.135076:0.495119:0.135076:0.000000
2:@0.509634:0.143771:0.515342:0.143771:0.515342:0.133462:0.509634:0.133462:0.000000
 :@0.515341:0.150601:0.519543:0.150601:0.519543:0.132918:0.515341:0.132918:0.000000
Definición:@0.404236:0.174899:0.484320:0.174899:0.484320:0.157953:0.404236:0.157953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  =:@0.404236:0.199537:0.470035:0.199543:0.470035:0.183045:0.404236:0.183039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.444412:0.199659:0.456356:0.199659:0.456356:0.183190:0.444412:0.183190:0.000000
a bV:@0.479590:0.199659:0.527984:0.199659:0.527984:0.183190:0.479590:0.183190:0.000000:0.000000:0.000000:0.000000
cd:@0.552413:0.199659:0.574472:0.199659:0.574472:0.183190:0.552413:0.183190:0.000000:0.000000
( ):@0.472053:0.202478:0.509620:0.202478:0.509620:0.180499:0.472053:0.180499:0.000000:0.000000:0.000000
( ):@0.544876:0.202478:0.582019:0.202478:0.582019:0.180499:0.544876:0.180499:0.000000:0.000000:0.000000
, ,= ,:@0.489493:0.199543:0.563857:0.199543:0.563857:0.183045:0.489493:0.183045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 dos elementos de  . Se define la suma de  :@0.584661:0.199543:0.895912:0.199543:0.895912:0.183045:0.584661:0.183045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.719383:0.198574:0.733293:0.198574:0.733293:0.185128:0.719383:0.185128:0.000000
2:@0.733292:0.193191:0.738245:0.193191:0.738245:0.183573:0.733292:0.183573:0.000000
 :@0.891770:0.199543:0.895912:0.199543:0.895912:0.183045:0.891770:0.183045:0.000000
U:@0.404244:0.217010:0.416188:0.217010:0.416188:0.200541:0.404244:0.200541:0.000000
 con  , que se escribe :@0.416188:0.216894:0.572984:0.216894:0.572984:0.200396:0.416188:0.200396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.451422:0.217010:0.462172:0.217010:0.462172:0.200541:0.451422:0.200541:0.000000
U + V:@0.572984:0.217010:0.614848:0.217010:0.614848:0.200541:0.572984:0.200541:0.000000:0.000000:0.000000:0.000000:0.000000
, como sigue::@0.614848:0.216894:0.706281:0.216894:0.706281:0.200396:0.614848:0.200396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.406382:0.242117:0.418327:0.242117:0.418327:0.225648:0.406382:0.225648:0.000000
V:@0.438940:0.242117:0.449690:0.242117:0.449690:0.225648:0.438940:0.225648:0.000000
ab:@0.474119:0.242117:0.501822:0.242117:0.501822:0.225648:0.474119:0.225648:0.000000:0.000000
cd:@0.531394:0.242117:0.553453:0.242117:0.553453:0.225648:0.531394:0.225648:0.000000:0.000000
ac bd:@0.583738:0.242117:0.655851:0.242117:0.655851:0.225648:0.583738:0.225648:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.453760:0.242001:0.464567:0.242001:0.464567:0.225503:0.453760:0.225503:0.000000
,:@0.484025:0.242001:0.486780:0.242001:0.486780:0.225503:0.484025:0.225503:0.000000
,:@0.540087:0.242001:0.542842:0.242001:0.542842:0.225503:0.540087:0.225503:0.000000
=:@0.563379:0.242001:0.574187:0.242001:0.574187:0.225503:0.563379:0.225503:0.000000
,:@0.617462:0.242001:0.620217:0.242001:0.620217:0.225503:0.617462:0.225503:0.000000
.  :@0.664373:0.242001:0.674741:0.242001:0.674741:0.225503:0.664373:0.225503:0.000000:0.000000:0.000000
(:@0.466587:0.244936:0.473002:0.244936:0.473002:0.222957:0.466587:0.222957:0.000000
) ( ) (:@0.502497:0.244936:0.582622:0.244936:0.582622:0.222957:0.502497:0.222957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.656985:0.244936:0.663401:0.244936:0.663401:0.222957:0.656985:0.222957:0.000000
+:@0.420883:0.242637:0.431460:0.242637:0.431460:0.226356:0.420883:0.226356:0.000000
+:@0.510987:0.242637:0.521563:0.242637:0.521563:0.226356:0.510987:0.226356:0.000000
+:@0.595056:0.242637:0.605633:0.242637:0.605633:0.226356:0.595056:0.226356:0.000000
+:@0.632951:0.242637:0.643527:0.242637:0.643527:0.226356:0.632951:0.226356:0.000000
La definición expresa que la suma de dos elementos de :@0.404238:0.266480:0.804375:0.266480:0.804375:0.249982:0.404238:0.249982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.804972:0.265511:0.818882:0.265511:0.818882:0.252064:0.804972:0.252064:0.000000
2:@0.818838:0.260128:0.823791:0.260128:0.823791:0.250509:0.818838:0.250509:0.000000
 se realiza :@0.823792:0.266481:0.895921:0.266481:0.895921:0.249983:0.823792:0.249983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumando sus respectivos componentes. El resultado es otro elemen-:@0.404233:0.283831:0.891812:0.283831:0.891812:0.267334:0.404233:0.267334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to de  .:@0.404233:0.301182:0.467524:0.301182:0.467524:0.284684:0.404233:0.284684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.445904:0.300213:0.459813:0.300213:0.459813:0.286766:0.445904:0.286766:0.000000
2:@0.459816:0.294829:0.464769:0.294829:0.464769:0.285211:0.459816:0.285211:0.000000
Ejercicios resueltos:@0.404238:0.336259:0.534893:0.336259:0.534893:0.319473:0.404238:0.319473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404238:0.361201:0.416510:0.361201:0.416510:0.344487:0.404238:0.344487:0.000000:0.000000
   Sean  =:@0.416510:0.360984:0.493310:0.360991:0.493310:0.344493:0.416510:0.344487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.495800:0.364661:0.502215:0.364661:0.502215:0.343170:0.495800:0.343170:0.000000
):@0.537952:0.364661:0.544367:0.364661:0.544367:0.343170:0.537952:0.343170:0.000000
(:@0.580713:0.364661:0.587128:0.364661:0.587128:0.343170:0.580713:0.343170:0.000000
):@0.645463:0.364661:0.651878:0.364661:0.651878:0.343170:0.645463:0.343170:0.000000
−:@0.502501:0.361627:0.513077:0.361627:0.513077:0.345346:0.502501:0.345346:0.000000
−:@0.613584:0.361627:0.624161:0.361627:0.624161:0.345346:0.613584:0.345346:0.000000
5,8 ,= 3,5; 6,3.  Entonces :@0.512922:0.360991:0.733099:0.360991:0.733099:0.344493:0.512922:0.344493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.467634:0.361106:0.479578:0.361106:0.479578:0.344638:0.467634:0.344638:0.000000
V:@0.552555:0.361106:0.563305:0.361106:0.563305:0.344638:0.552555:0.344638:0.000000
 :@0.404243:0.387349:0.408385:0.387349:0.408385:0.370852:0.404243:0.370852:0.000000
(:@0.483758:0.389768:0.490173:0.389768:0.490173:0.368277:0.483758:0.368277:0.000000
) (:@0.525911:0.389768:0.552882:0.389768:0.552882:0.368277:0.525911:0.368277:0.000000:0.000000:0.000000
) (:@0.620445:0.389768:0.649425:0.389768:0.649425:0.368277:0.620445:0.368277:0.000000:0.000000:0.000000
) (:@0.758698:0.389768:0.787692:0.389768:0.787692:0.368277:0.758698:0.368277:0.000000:0.000000:0.000000
):@0.847607:0.389768:0.854022:0.389768:0.854022:0.368277:0.847607:0.368277:0.000000
+:@0.443499:0.386734:0.454075:0.386734:0.454075:0.370453:0.443499:0.370453:0.000000
−:@0.490467:0.386734:0.501044:0.386734:0.501044:0.370453:0.490467:0.370453:0.000000
+:@0.533968:0.386734:0.544545:0.386734:0.544545:0.370453:0.533968:0.370453:0.000000
−:@0.586062:0.386734:0.596638:0.386734:0.596638:0.370453:0.586062:0.370453:0.000000
−+:@0.649714:0.386734:0.680770:0.386734:0.680770:0.370453:0.649714:0.370453:0.000000:0.000000
−:@0.724309:0.386734:0.734886:0.386734:0.734886:0.370453:0.724309:0.370453:0.000000
−:@0.787962:0.386734:0.798538:0.386734:0.798538:0.370453:0.787962:0.370453:0.000000
=:@0.470451:0.386098:0.481259:0.386098:0.481259:0.369600:0.470451:0.369600:0.000000
5,8:@0.500871:0.386098:0.525280:0.386098:0.525280:0.369600:0.500871:0.369600:0.000000:0.000000:0.000000
3,5;:@0.553176:0.386098:0.577354:0.386098:0.577354:0.369600:0.553176:0.369600:0.000000:0.000000:0.000000:0.000000
6,3=:@0.598989:0.386098:0.640525:0.386098:0.640525:0.369600:0.598989:0.369600:0.000000:0.000000:0.000000:0.000000
53,5;8 6,3=:@0.660137:0.386098:0.778791:0.386098:0.778791:0.369600:0.660137:0.369600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,5; 1,7.:@0.798403:0.386098:0.858198:0.386098:0.858198:0.369600:0.798403:0.369600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
UV:@0.429836:0.386213:0.466343:0.386213:0.466343:0.369745:0.429836:0.369745:0.000000:0.000000
2.:@0.404236:0.412679:0.416508:0.412679:0.416508:0.395965:0.404236:0.395965:0.000000:0.000000
   Dado      , se definen  =:@0.416508:0.412462:0.630390:0.413721:0.630390:0.397223:0.416508:0.395965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.471414:0.412578:0.480391:0.412578:0.480391:0.396109:0.471414:0.396109:0.000000
:@0.484533:0.412245:0.500581:0.412245:0.500581:0.397599:0.484533:0.397599:0.000000
R:@0.504723:0.411494:0.518633:0.411494:0.518633:0.398047:0.504723:0.398047:0.000000
(:@0.632868:0.417390:0.639283:0.417390:0.639283:0.395899:0.632868:0.395899:0.000000
):@0.678353:0.417390:0.684768:0.417390:0.684768:0.395899:0.678353:0.395899:0.000000
(:@0.721141:0.417390:0.727557:0.417390:0.727557:0.395899:0.721141:0.395899:0.000000
):@0.764488:0.417390:0.770903:0.417390:0.770903:0.395899:0.764488:0.395899:0.000000
−:@0.656321:0.414357:0.666898:0.414357:0.666898:0.398076:0.656321:0.398076:0.000000
−:@0.727834:0.414357:0.738410:0.414357:0.738410:0.398076:0.727834:0.398076:0.000000
∈:@0.774167:0.414357:0.787903:0.414357:0.787903:0.398076:0.774167:0.398076:0.000000
,:@0.649887:0.413721:0.652642:0.413721:0.652642:0.397223:0.649887:0.397223:0.000000
,=:@0.686953:0.413721:0.718644:0.413721:0.718644:0.397223:0.686953:0.397223:0.000000:0.000000
,:@0.748511:0.413721:0.751266:0.413721:0.751266:0.397223:0.748511:0.397223:0.000000
.:@0.813532:0.413721:0.816287:0.413721:0.816287:0.397223:0.813532:0.397223:0.000000
2:@0.806203:0.405684:0.811121:0.405684:0.811121:0.396135:0.806203:0.396135:0.000000
U:@0.604702:0.413836:0.616647:0.413836:0.616647:0.397367:0.604702:0.397367:0.000000
a:@0.639996:0.413836:0.648974:0.413836:0.648974:0.397367:0.639996:0.397367:0.000000
aV:@0.669260:0.413836:0.703725:0.413836:0.703725:0.397367:0.669260:0.397367:0.000000:0.000000
aa:@0.738634:0.413836:0.764373:0.413836:0.764373:0.397367:0.738634:0.397367:0.000000:0.000000
Entonces:@0.427681:0.437319:0.492680:0.437319:0.492680:0.420821:0.427681:0.420821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.552900:0.441239:0.559316:0.441239:0.559316:0.419749:0.552900:0.419749:0.000000
) (:@0.598386:0.441239:0.625376:0.441239:0.625376:0.419749:0.598386:0.419749:0.000000:0.000000:0.000000
) (:@0.662308:0.441239:0.691283:0.441239:0.691283:0.419749:0.662308:0.419749:0.000000:0.000000:0.000000
) (:@0.772813:0.441239:0.801788:0.441239:0.801788:0.419749:0.772813:0.419749:0.000000:0.000000:0.000000
):@0.828355:0.441239:0.834770:0.441239:0.834770:0.419749:0.828355:0.419749:0.000000
+:@0.512641:0.438206:0.523218:0.438206:0.523218:0.421926:0.512641:0.421926:0.000000
−:@0.576351:0.438206:0.586928:0.438206:0.586928:0.421926:0.576351:0.421926:0.000000
+−:@0.606463:0.438206:0.636247:0.438206:0.636247:0.421926:0.606463:0.421926:0.000000:0.000000
−− +:@0.702885:0.438206:0.761355:0.438206:0.761355:0.421926:0.702885:0.421926:0.000000:0.000000:0.000000:0.000000
=:@0.539593:0.437570:0.550401:0.437570:0.550401:0.421073:0.539593:0.421073:0.000000
,:@0.569897:0.437570:0.572652:0.437570:0.572652:0.421073:0.569897:0.421073:0.000000
,:@0.646342:0.437570:0.649097:0.437570:0.649097:0.421073:0.646342:0.421073:0.000000
=:@0.671579:0.437570:0.682387:0.437570:0.682387:0.421073:0.671579:0.421073:0.000000
,:@0.725715:0.437570:0.728470:0.437570:0.728470:0.421073:0.725715:0.421073:0.000000
= 0, 0= .:@0.782104:0.437570:0.866043:0.437570:0.866043:0.421073:0.782104:0.421073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
UV:@0.498982:0.437686:0.535490:0.437686:0.535490:0.421217:0.498982:0.421217:0.000000:0.000000
a:@0.560014:0.437686:0.568992:0.437686:0.568992:0.421217:0.560014:0.421217:0.000000
a:@0.589278:0.437686:0.598256:0.437686:0.598256:0.421217:0.589278:0.421217:0.000000
aa:@0.636439:0.437686:0.662178:0.437686:0.662178:0.421217:0.636439:0.421217:0.000000:0.000000
aa aa:@0.691981:0.437686:0.772683:0.437686:0.772683:0.421217:0.691981:0.421217:0.000000:0.000000:0.000000:0.000000:0.000000
O:@0.850920:0.437686:0.862826:0.437686:0.862826:0.421217:0.850920:0.421217:0.000000
3.:@0.404235:0.462769:0.416507:0.462769:0.416507:0.446054:0.404235:0.446054:0.000000:0.000000
   Dado       y   =:@0.416507:0.462552:0.566700:0.463683:0.566700:0.447186:0.416507:0.446054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.471413:0.462668:0.480391:0.462668:0.480391:0.446199:0.471413:0.446199:0.000000
:@0.484533:0.462335:0.500581:0.462335:0.500581:0.447688:0.484533:0.447688:0.000000
R:@0.504723:0.461583:0.518632:0.461583:0.518632:0.448136:0.504723:0.448136:0.000000
(:@0.569197:0.467354:0.575612:0.467354:0.575612:0.445863:0.569197:0.445863:0.000000
):@0.622600:0.467354:0.629016:0.467354:0.629016:0.445863:0.622600:0.445863:0.000000
−:@0.592650:0.464319:0.603227:0.464319:0.603227:0.448039:0.592650:0.448039:0.000000
∈:@0.632279:0.464319:0.646015:0.464319:0.646015:0.448039:0.632279:0.448039:0.000000
, 5:@0.586197:0.463683:0.613240:0.463683:0.613240:0.447186:0.586197:0.447186:0.000000:0.000000:0.000000
,  se tiene :@0.672384:0.463683:0.740484:0.462552:0.740484:0.446054:0.672384:0.447186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.664320:0.455648:0.669238:0.455648:0.669238:0.446099:0.664320:0.446099:0.000000
U:@0.541033:0.463799:0.552977:0.463799:0.552977:0.447330:0.541033:0.447330:0.000000
a:@0.576327:0.463799:0.585304:0.463799:0.585304:0.447330:0.576327:0.447330:0.000000
a:@0.613490:0.463799:0.622467:0.463799:0.622467:0.447330:0.613490:0.447330:0.000000
 :@0.404230:0.488910:0.408372:0.488910:0.408372:0.472413:0.404230:0.472413:0.000000
(:@0.484177:0.491329:0.490592:0.491329:0.490592:0.469838:0.484177:0.469838:0.000000
) (:@0.537580:0.491329:0.564571:0.491329:0.564571:0.469838:0.537580:0.469838:0.000000:0.000000:0.000000
) (:@0.591138:0.491329:0.620113:0.491329:0.620113:0.469838:0.591138:0.469838:0.000000:0.000000:0.000000
) (:@0.713896:0.491329:0.742871:0.491329:0.742871:0.469838:0.713896:0.469838:0.000000:0.000000:0.000000
):@0.789859:0.491329:0.796274:0.491329:0.796274:0.469838:0.789859:0.469838:0.000000
+:@0.443499:0.488295:0.454075:0.488295:0.454075:0.472014:0.443499:0.472014:0.000000
−:@0.507633:0.488295:0.518209:0.488295:0.518209:0.472014:0.507633:0.472014:0.000000
+:@0.545643:0.488295:0.556220:0.488295:0.556220:0.472014:0.545643:0.472014:0.000000
+ −:@0.631296:0.488295:0.671137:0.488295:0.671137:0.472014:0.631296:0.472014:0.000000:0.000000:0.000000
+:@0.691866:0.488295:0.702443:0.488295:0.702443:0.472014:0.691866:0.472014:0.000000
−:@0.759931:0.488295:0.770507:0.488295:0.770507:0.472014:0.759931:0.472014:0.000000
=:@0.470894:0.487659:0.481702:0.487659:0.481702:0.471161:0.470894:0.471161:0.000000
, 5:@0.501198:0.487659:0.528227:0.487659:0.528227:0.471161:0.501198:0.471161:0.000000:0.000000:0.000000
0,0 =:@0.565274:0.487659:0.611222:0.487659:0.611222:0.471161:0.565274:0.471161:0.000000:0.000000:0.000000:0.000000:0.000000
0,5:@0.644243:0.487659:0.681155:0.487659:0.681155:0.471161:0.644243:0.471161:0.000000:0.000000:0.000000
0=:@0.704793:0.487659:0.733980:0.487659:0.733980:0.471161:0.704793:0.471161:0.000000:0.000000
,5 =.:@0.753477:0.487659:0.827114:0.487659:0.827114:0.471161:0.753477:0.471161:0.000000:0.000000:0.000000:0.000000:0.000000
UO:@0.429836:0.487774:0.467923:0.487774:0.467923:0.471306:0.429836:0.471306:0.000000:0.000000
a:@0.491292:0.487774:0.500269:0.487774:0.500269:0.471306:0.491292:0.471306:0.000000
a:@0.528454:0.487774:0.537432:0.487774:0.537432:0.471306:0.528454:0.471306:0.000000
a:@0.620812:0.487774:0.629790:0.487774:0.629790:0.471306:0.620812:0.471306:0.000000
a:@0.681382:0.487774:0.690360:0.487774:0.690360:0.471306:0.681382:0.471306:0.000000
a:@0.743570:0.487774:0.752548:0.487774:0.752548:0.471306:0.743570:0.471306:0.000000
a:@0.780733:0.487774:0.789711:0.487774:0.789711:0.471306:0.780733:0.471306:0.000000
U:@0.812000:0.487774:0.823945:0.487774:0.823945:0.471306:0.812000:0.471306:0.000000
De la definición precedente, se sigue que la suma de dos elementos :@0.404236:0.513395:0.895997:0.513395:0.895997:0.496897:0.404236:0.496897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de :@0.404236:0.530745:0.426237:0.530745:0.426237:0.514248:0.404236:0.514248:0.000000:0.000000:0.000000
R:@0.427219:0.529777:0.441129:0.529777:0.441129:0.516330:0.427219:0.516330:0.000000
2:@0.441123:0.524393:0.446076:0.524393:0.446076:0.514775:0.441123:0.514775:0.000000
 es otro elemento de :@0.446075:0.530746:0.600868:0.530746:0.600868:0.514249:0.446075:0.514249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.601850:0.529778:0.615760:0.529778:0.615760:0.516331:0.601850:0.516331:0.000000
2:@0.615735:0.524393:0.620688:0.524393:0.620688:0.514775:0.615735:0.514775:0.000000
. Más aún, la operación adición en :@0.620689:0.530746:0.871964:0.530746:0.871964:0.514249:0.620689:0.514249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.872946:0.529778:0.886856:0.529778:0.886856:0.516331:0.872946:0.516331:0.000000
2:@0.886817:0.524393:0.891771:0.524393:0.891771:0.514775:0.886817:0.514775:0.000000
 :@0.891771:0.530746:0.895913:0.530746:0.895913:0.514249:0.891771:0.514249:0.000000
es una ley de composición interna. Esto es, “+” es una función de :@0.404245:0.548097:0.895946:0.548097:0.895946:0.531599:0.404245:0.531599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891771:0.548097:0.895913:0.548097:0.895913:0.531599:0.891771:0.531599:0.000000
R:@0.404245:0.564479:0.418154:0.564479:0.418154:0.551032:0.404245:0.551032:0.000000
2    :@0.418146:0.559095:0.441151:0.559095:0.441151:0.549477:0.418146:0.549477:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.427927:0.565448:0.438735:0.565448:0.438735:0.548950:0.427927:0.548950:0.000000
R:@0.441150:0.564479:0.455060:0.564479:0.455060:0.551032:0.441150:0.551032:0.000000
2:@0.455060:0.559095:0.460013:0.559095:0.460013:0.549477:0.455060:0.549477:0.000000
 en  , definida como sigue::@0.460013:0.565448:0.658309:0.565448:0.658309:0.548950:0.460013:0.548950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.485848:0.564479:0.499758:0.564479:0.499758:0.551032:0.485848:0.551032:0.000000
2:@0.499757:0.559095:0.504710:0.559095:0.504710:0.549477:0.499757:0.549477:0.000000
+:  ::@0.573409:0.603157:0.576929:0.604038:0.576929:0.587541:0.573409:0.586659:0.000000:0.000000:0.000000:0.000000:0.000000
UV:@0.606893:0.614724:0.634077:0.614724:0.634077:0.598255:0.606893:0.598255:0.000000:0.000000
UV:@0.666461:0.614724:0.704587:0.614724:0.704587:0.598255:0.666461:0.598255:0.000000:0.000000
,:@0.619987:0.614608:0.622742:0.614608:0.622742:0.598110:0.619987:0.598110:0.000000
,:@0.706950:0.614608:0.709705:0.614608:0.709705:0.598110:0.706950:0.598110:0.000000
2:@0.616420:0.585866:0.621338:0.585866:0.621338:0.576317:0.616420:0.576317:0.000000
2:@0.654589:0.585866:0.659507:0.585866:0.659507:0.576317:0.654589:0.576317:0.000000
2:@0.701801:0.585866:0.706719:0.585866:0.706719:0.576317:0.701801:0.576317:0.000000
(:@0.600192:0.617543:0.606608:0.617543:0.606608:0.595564:0.600192:0.595564:0.000000
):@0.636045:0.617543:0.642460:0.617543:0.642460:0.595564:0.636045:0.595564:0.000000
+:@0.559725:0.604674:0.570302:0.604674:0.570302:0.588394:0.559725:0.588394:0.000000
×:@0.626159:0.594538:0.636735:0.594538:0.636735:0.578257:0.626159:0.578257:0.000000
→:@0.664631:0.594538:0.683646:0.594538:0.683646:0.578257:0.664631:0.578257:0.000000
→+:@0.644846:0.615243:0.691545:0.615243:0.691545:0.598962:0.644846:0.598962:0.000000:0.000000
donde :@0.404236:0.644985:0.455270:0.644985:0.455270:0.628488:0.404236:0.628488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U + V:@0.455039:0.645101:0.496440:0.645101:0.496440:0.628632:0.455039:0.628632:0.000000:0.000000:0.000000:0.000000:0.000000
 está arriba definido. Se tiene así la propiedad clausurati-:@0.496440:0.644985:0.891721:0.644985:0.891721:0.628488:0.496440:0.628488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
va, que se expresa del modo siguiente::@0.404236:0.662336:0.674794:0.662336:0.674794:0.645838:0.404236:0.645838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.547666:0.680236:0.561402:0.680236:0.561402:0.661396:0.547666:0.661396:0.000000
 :@0.561402:0.679687:0.565544:0.679687:0.565544:0.663189:0.561402:0.663189:0.000000
U, V:@0.565544:0.679803:0.594365:0.679803:0.594365:0.663334:0.565544:0.663334:0.000000:0.000000:0.000000:0.000000
 :@0.594365:0.679687:0.598507:0.679687:0.598507:0.663189:0.594365:0.663189:0.000000
:@0.598510:0.679017:0.612465:0.679017:0.612465:0.666280:0.598510:0.666280:0.000000
 :@0.612465:0.679469:0.617281:0.679469:0.617281:0.664822:0.612465:0.664822:0.000000
R:@0.617281:0.678717:0.631191:0.678717:0.631191:0.665271:0.617281:0.665271:0.000000
2:@0.631191:0.673334:0.636144:0.673334:0.636144:0.663716:0.631191:0.663716:0.000000
   :@0.636145:0.679686:0.661944:0.679686:0.661944:0.663189:0.636145:0.663189:0.000000:0.000000:0.000000
U + V :@0.661944:0.679802:0.707950:0.679802:0.707950:0.663333:0.661944:0.663333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.707949:0.679017:0.721904:0.679017:0.721904:0.666280:0.707949:0.666280:0.000000
 :@0.721904:0.679469:0.726720:0.679469:0.726720:0.664822:0.721904:0.664822:0.000000
R:@0.726720:0.678717:0.740629:0.678717:0.740629:0.665271:0.726720:0.665271:0.000000
2:@0.740629:0.673334:0.745583:0.673334:0.745583:0.663716:0.740629:0.663716:0.000000
.:@0.745581:0.679686:0.748336:0.679686:0.748336:0.663189:0.745581:0.663189:0.000000
Antes de describir otras propiedades de la adición en :@0.404240:0.704165:0.795263:0.704165:0.795263:0.687668:0.404240:0.687668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.796515:0.703196:0.810424:0.703196:0.810424:0.689750:0.796515:0.689750:0.000000
2:@0.810460:0.697813:0.815413:0.697813:0.815413:0.688195:0.810460:0.688195:0.000000
, es conve-:@0.815414:0.704166:0.891762:0.704166:0.891762:0.687668:0.815414:0.687668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
niente recordar las propiedades de la adición de números reales.:@0.404235:0.721517:0.857924:0.721517:0.857924:0.705019:0.404235:0.705019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la adición en :@0.404235:0.758185:0.627610:0.758185:0.627610:0.741239:0.404235:0.741239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.627610:0.756753:0.641520:0.756753:0.641520:0.743306:0.627610:0.743306:0.000000
2:@0.641520:0.751644:0.646990:0.751644:0.646990:0.741764:0.641520:0.741764:0.000000
La operación “+” en   satisface las propiedades siguientes::@0.404236:0.782205:0.827274:0.782205:0.827274:0.765708:0.404236:0.765708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.550689:0.781237:0.564598:0.781237:0.564598:0.767790:0.550689:0.767790:0.000000
2:@0.564694:0.775852:0.569647:0.775852:0.569647:0.766234:0.564694:0.766234:0.000000
i) Conmutativa::@0.404234:0.806901:0.528915:0.806901:0.528915:0.790187:0.404234:0.790187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.414772:0.806684:0.431822:0.806684:0.431822:0.790187:0.414772:0.790187:0.000000:0.000000
 para todo :@0.528918:0.806684:0.607692:0.806684:0.607692:0.790187:0.528918:0.790187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U, V:@0.607692:0.806800:0.636513:0.806800:0.636513:0.790331:0.607692:0.790331:0.000000:0.000000:0.000000:0.000000
    ,  :@0.636515:0.806684:0.690753:0.806684:0.690753:0.790186:0.636515:0.790187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.640657:0.806467:0.656705:0.806467:0.656705:0.791821:0.640657:0.791821:0.000000
R:@0.660847:0.805716:0.674756:0.805716:0.674756:0.792269:0.660847:0.792269:0.000000
2:@0.674762:0.800332:0.679715:0.800332:0.679715:0.790714:0.674762:0.790714:0.000000
U + V = V + U.:@0.690753:0.806799:0.795633:0.806799:0.795633:0.790331:0.690753:0.790331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii) Asociativa::@0.404240:0.831380:0.507789:0.831380:0.507789:0.814665:0.404240:0.814665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.419036:0.831163:0.431828:0.831163:0.431828:0.814665:0.419036:0.814665:0.000000:0.000000
 para todo :@0.507791:0.831163:0.586565:0.831163:0.586565:0.814665:0.507791:0.814665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U, V, W:@0.586565:0.831278:0.637001:0.831278:0.637001:0.814810:0.586565:0.814810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    , :@0.637001:0.831163:0.687094:0.831163:0.687094:0.814666:0.637001:0.814665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.641143:0.830946:0.657191:0.830946:0.657191:0.816299:0.641143:0.816299:0.000000
R:@0.661333:0.830194:0.675243:0.830194:0.675243:0.816747:0.661333:0.816747:0.000000
2:@0.675245:0.824810:0.680198:0.824810:0.680198:0.815192:0.675245:0.815192:0.000000
U +  V + W  =  U + V  + W.:@0.687094:0.831279:0.885911:0.831279:0.885911:0.814810:0.687094:0.814810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.718207:0.831163:0.724160:0.831163:0.724160:0.814666:0.718207:0.814666:0.000000
) (:@0.770377:0.831163:0.801452:0.831163:0.801452:0.814666:0.770377:0.814666:0.000000:0.000000:0.000000
):@0.843316:0.831163:0.849269:0.831163:0.849269:0.814666:0.843316:0.814666:0.000000
 :@0.885911:0.831163:0.890053:0.831163:0.890053:0.814666:0.885911:0.814666:0.000000
iii) Existencia del elemento neutro::@0.404241:0.855859:0.657768:0.855859:0.657768:0.839145:0.404241:0.839145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.423295:0.855642:0.431829:0.855642:0.431829:0.839145:0.423295:0.839145:0.000000:0.000000
 existe O    , tal que para todo :@0.657753:0.855642:0.895912:0.855642:0.895912:0.839144:0.657753:0.839145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.723062:0.855425:0.739110:0.855425:0.739110:0.840779:0.723062:0.840779:0.000000
R:@0.743059:0.854674:0.756969:0.854674:0.756969:0.841227:0.743059:0.841227:0.000000
2:@0.756951:0.849289:0.761904:0.849289:0.761904:0.839671:0.756951:0.839671:0.000000
U    ,  :@0.427690:0.872992:0.494502:0.872992:0.494502:0.856495:0.427690:0.856495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.444412:0.872776:0.460460:0.872776:0.460460:0.858129:0.444412:0.858129:0.000000
R:@0.464602:0.872024:0.478511:0.872024:0.478511:0.858577:0.464602:0.858577:0.000000
2:@0.478511:0.866639:0.483464:0.866639:0.483464:0.857021:0.478511:0.857021:0.000000
U + O = O + U U.:@0.494502:0.873108:0.632730:0.873108:0.632730:0.856639:0.494502:0.856639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.599710:0.872992:0.618802:0.872992:0.618802:0.856495:0.599710:0.856495:0.000000:0.000000:0.000000
iv)  Existencia de opuestos aditivos::@0.404245:0.897688:0.659006:0.897688:0.659006:0.880974:0.404245:0.880974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.423047:0.897472:0.427189:0.897472:0.427189:0.880974:0.423047:0.880974:0.000000
 para cada U     existe V    , :@0.659028:0.897472:0.895912:0.897471:0.895912:0.880973:0.659028:0.880974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.752732:0.897255:0.768780:0.897255:0.768780:0.882608:0.752732:0.882608:0.000000
R:@0.772885:0.896503:0.786795:0.896503:0.786795:0.883056:0.772885:0.883056:0.000000
:@0.850004:0.897255:0.866052:0.897255:0.866052:0.882608:0.850004:0.882608:0.000000
R:@0.870156:0.896503:0.884065:0.896503:0.884065:0.883056:0.870156:0.883056:0.000000
2:@0.884063:0.891119:0.889017:0.891119:0.889017:0.881501:0.884063:0.881501:0.000000
tal que :@0.427690:0.914822:0.480977:0.914822:0.480977:0.898324:0.427690:0.898324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U + V = O.:@0.480977:0.914937:0.556324:0.914937:0.556324:0.898469:0.480977:0.898469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.100622:0.307805:0.100622:0.307805:0.085150:0.199646:0.085150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es el sistema de :@0.199884:0.129250:0.340762:0.129250:0.340762:0.114187:0.199884:0.114187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coordenadas cartesianas?:@0.153341:0.145092:0.316611:0.145092:0.316611:0.130029:0.153341:0.130029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199644:0.188680:0.363492:0.188680:0.363492:0.173208:0.199644:0.173208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El par ordenado (:@0.199880:0.217308:0.312384:0.217308:0.312384:0.202244:0.199880:0.202244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b:@0.312384:0.217413:0.335146:0.217413:0.335146:0.202376:0.312384:0.202376:0.000000:0.000000:0.000000:0.000000
) :@0.335148:0.217308:0.344365:0.217308:0.344365:0.202244:0.335148:0.202244:0.000000:0.000000
es igual al par ordenado (:@0.153337:0.233149:0.316307:0.233149:0.316307:0.218086:0.153337:0.218086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b, a:@0.316307:0.233255:0.338963:0.233255:0.338963:0.218218:0.316307:0.218218:0.000000:0.000000:0.000000:0.000000
). :@0.338965:0.233149:0.350697:0.233149:0.350697:0.218086:0.338965:0.218086:0.000000:0.000000:0.000000
Explica.:@0.153337:0.248991:0.201991:0.248991:0.201991:0.233928:0.153337:0.233928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199644:0.340140:0.297267:0.340140:0.297267:0.324667:0.199644:0.324667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.352708:0.283707:0.352708:0.283707:0.337235:0.199644:0.337235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se designa con   al :@0.199880:0.377182:0.334972:0.377182:0.334972:0.362119:0.199880:0.362119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.299596:0.376298:0.312296:0.376298:0.312296:0.364020:0.299596:0.364020:0.000000
2:@0.312297:0.371383:0.316820:0.371383:0.316820:0.362601:0.312297:0.362601:0.000000
producto cartesiano  × . Esto :@0.153337:0.393024:0.362217:0.393024:0.362217:0.377961:0.153337:0.377961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R R:@0.289218:0.392140:0.324486:0.392140:0.324486:0.379862:0.289218:0.379862:0.000000:0.000000:0.000000
es, :@0.153337:0.412008:0.172985:0.412008:0.172985:0.396945:0.153337:0.396945:0.000000:0.000000:0.000000:0.000000
{:@0.214611:0.415713:0.223858:0.415713:0.223858:0.393083:0.214611:0.393083:0.000000
}:@0.322978:0.415713:0.332225:0.415713:0.332225:0.393083:0.322978:0.393083:0.000000
=:@0.200946:0.412966:0.211522:0.412966:0.211522:0.396685:0.200946:0.396685:0.000000
∈:@0.294960:0.412966:0.308696:0.412966:0.308696:0.396685:0.294960:0.396685:0.000000
xy xy:@0.230420:0.412446:0.291414:0.412446:0.291414:0.395977:0.230420:0.395977:0.000000:0.000000:0.000000:0.000000:0.000000
(, )| ,:@0.223735:0.412330:0.281088:0.412330:0.281088:0.395832:0.223735:0.395832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.190685:0.404294:0.195602:0.404294:0.195602:0.394745:0.190685:0.394745:0.000000
.:@0.335489:0.412009:0.338005:0.412009:0.338005:0.396946:0.335489:0.396946:0.000000
Los elementos de   :@0.153345:0.434980:0.291038:0.434979:0.291038:0.419916:0.153345:0.419917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.270035:0.434096:0.282735:0.434096:0.282735:0.421818:0.270035:0.421818:0.000000
2:@0.282734:0.429180:0.287257:0.429180:0.287257:0.420398:0.282734:0.420398:0.000000
son pares ordenados. Si :@0.153343:0.450821:0.308677:0.450821:0.308677:0.435758:0.153343:0.435758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.194230:0.470763:0.155256:0.470763:0.155256:0.454482:0.194230:0.454482:0.000000
∈:@0.246940:0.470763:0.207966:0.470763:0.207966:0.454482:0.246940:0.454482:0.000000
xy:@0.162610:0.470243:0.185169:0.470243:0.185169:0.453774:0.162610:0.453774:0.000000:0.000000
x:@0.235683:0.470243:0.243158:0.470243:0.243158:0.453774:0.235683:0.453774:0.000000
(, ):@0.155905:0.470127:0.191334:0.470127:0.191334:0.453629:0.155905:0.453629:0.000000:0.000000:0.000000:0.000000
,:@0.230712:0.470127:0.233467:0.470127:0.233467:0.453629:0.230712:0.453629:0.000000
2:@0.222657:0.462091:0.227574:0.462091:0.227574:0.452542:0.222657:0.452542:0.000000
 se denomina :@0.278459:0.469806:0.363980:0.469806:0.363980:0.454743:0.278459:0.454743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primera componente  :@0.153341:0.485648:0.300322:0.485648:0.300322:0.470585:0.153341:0.470585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o abscisa :@0.153341:0.501490:0.214905:0.501490:0.214905:0.486427:0.153341:0.486427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.214905:0.501596:0.225705:0.501596:0.225705:0.486559:0.214905:0.486559:0.000000:0.000000
 :@0.225705:0.501292:0.244755:0.501292:0.244755:0.487919:0.225705:0.487919:0.000000:0.000000
R:@0.244755:0.500606:0.257455:0.500606:0.257455:0.488328:0.244755:0.488328:0.000000
 se denomina :@0.257455:0.501490:0.348781:0.501490:0.348781:0.486427:0.257455:0.486427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segunda componente  :@0.153341:0.517332:0.303963:0.517332:0.303963:0.502269:0.153341:0.502269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u ordenada.:@0.153341:0.533174:0.230597:0.533174:0.230597:0.518111:0.153341:0.518111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A los elementos de   los :@0.153341:0.556145:0.323755:0.556145:0.323755:0.541082:0.153341:0.541082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.280973:0.555261:0.293673:0.555261:0.293673:0.542983:0.280973:0.542983:0.000000
2:@0.293674:0.550345:0.298196:0.550345:0.298196:0.541563:0.293674:0.541563:0.000000
representamos con las letras :@0.153343:0.571987:0.340181:0.571987:0.340181:0.556924:0.153343:0.556924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayúsculas del alfabeto, y a :@0.153343:0.587829:0.335502:0.587829:0.335502:0.572766:0.153343:0.572766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus componentes, siempre con :@0.153343:0.603671:0.357684:0.603671:0.357684:0.588608:0.153343:0.588608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
letras minúsculas del alfabeto :@0.153343:0.619513:0.347869:0.619513:0.347869:0.604450:0.153343:0.604450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o con subíndices.   es un par :@0.153343:0.635355:0.346093:0.635355:0.346093:0.620292:0.153343:0.620292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.268714:0.635461:0.279004:0.635461:0.279004:0.620424:0.268714:0.620424:0.000000
ordenado, esto es, existen  :@0.153343:0.651197:0.325931:0.651197:0.325931:0.636134:0.153343:0.636134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b :@0.153343:0.667145:0.180080:0.667145:0.180080:0.652108:0.153343:0.652108:0.000000:0.000000:0.000000:0.000000
, :@0.161540:0.667039:0.167837:0.667039:0.167837:0.651976:0.161540:0.651976:0.000000:0.000000
 :@0.180080:0.666841:0.199130:0.666841:0.199130:0.653468:0.180080:0.653468:0.000000:0.000000
R:@0.199130:0.666155:0.211830:0.666155:0.211830:0.653877:0.199130:0.653877:0.000000
, tal que  = (:@0.211830:0.667039:0.299938:0.667039:0.299938:0.651976:0.211830:0.651976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.266781:0.667145:0.280853:0.667145:0.280853:0.652108:0.266781:0.652108:0.000000:0.000000
a, b:@0.299938:0.667145:0.322700:0.667145:0.322700:0.652108:0.299938:0.652108:0.000000:0.000000:0.000000:0.000000
).  :@0.322700:0.667039:0.338214:0.667039:0.338214:0.651976:0.322700:0.651976:0.000000:0.000000:0.000000:0.000000
Se tiene la siguiente equivalencia, :@0.153343:0.682881:0.364810:0.682881:0.364810:0.667818:0.153343:0.667818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.153343:0.698829:0.163633:0.698829:0.163633:0.683792:0.153343:0.683792:0.000000
:@0.163633:0.698525:0.178286:0.698525:0.178286:0.685152:0.163633:0.685152:0.000000
R:@0.178286:0.697839:0.190986:0.697839:0.190986:0.685561:0.178286:0.685561:0.000000
2:@0.190987:0.692922:0.195509:0.692922:0.195509:0.684141:0.190987:0.684141:0.000000
 :@0.195508:0.698723:0.199290:0.698723:0.199290:0.683660:0.195508:0.683660:0.000000
 ∃:@0.216812:0.699225:0.230866:0.699225:0.230866:0.682023:0.216812:0.682023:0.000000:0.000000
a b:@0.230866:0.698829:0.253821:0.698829:0.253821:0.683792:0.230866:0.683792:0.000000:0.000000:0.000000
,      , tal que  :@0.239063:0.698723:0.347471:0.698723:0.347471:0.683660:0.239063:0.683660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.257603:0.698525:0.272256:0.698525:0.272256:0.685152:0.257603:0.685152:0.000000
R:@0.276038:0.697839:0.288738:0.697839:0.288738:0.685561:0.276038:0.685561:0.000000
A :@0.153347:0.714671:0.167419:0.714671:0.167419:0.699634:0.153347:0.699634:0.000000:0.000000
= (:@0.167419:0.714565:0.186504:0.714565:0.186504:0.699502:0.167419:0.699502:0.000000:0.000000:0.000000
a, b:@0.186504:0.714671:0.209266:0.714671:0.209266:0.699634:0.186504:0.699634:0.000000:0.000000:0.000000:0.000000
).:@0.209266:0.714565:0.217217:0.714565:0.217217:0.699502:0.209266:0.699502:0.000000:0.000000