> Last theorem proved:
> [...]
> Nice challenge, I enjoyed it

Congratulations!  Despite being very busy with my own challenge I actually 
enjoyed watching this.


[email protected] schrieb am Sonntag, 15. Dezember 2024 um 01:16:55 
UTC+1:

> Last theorem proved:
>
> ${
>   $d x y z a b c B $.  $d x y z a b c .o. $.  $d M a b c $.
>
>   mendpadmbi.a $e |- B = ( Base ` M ) $.
>   mendpadmbi.b $e |- .o. = ( +g ` M ) $.
>   mendpadmbi.c $e |- B =/= (/) $.
>   mendpadmbi.d $e |- M e. Mgm $.
>   $( Boolean groups are characterized by an identiy of N.S. Mendelsohn and 
> R. Padmanabhan. $)
>   mendpadmbi $p |- ( A. x e. B A. y e. B A. z e. B ( ( x .o. y ) .o. ( x 
> .o. ( z .o. y ) ) ) = z <-> ( M e. Abel /\ ( gEx ` M ) || 2 ) ) $=
>     ( va vb vc cv co wceq wral wcel oveq1 oveq2d cabl cgex cfv c2 cdvds 
> wbr c0g
>     wa wne a1i cmgm weq oveq12d eqeq1d 2ralbidv cbvralvw biimpi mendpadm 
> simpld
>     c0 mendpadmbilem4 jca cgrp wi simpl ablgrp grpass 3exp2 3syl 
> mendpadmbilem5
>     imp41 ad3antrrr mgmcl mp3an1 oveq2 eqeq12d rspc2v sylan adantlll mpd 
> ablcom
>     id ad5ant145 3eqtr3rd ralrimiva cbvral3vw sylib impbii ) 
> ANZBNZFOZWICNZWJFO
>     
> ZFOZFOZWLPZCDQBDQZADQZEUARZEUBUCUDUEUFZUHZWRWSWTWRWSKNZXBFOEUGUCPKDQWRKBCDE
>     
> FGHDUTUIWRIUJEUKRZWRJUJWRXBWJFOZXBWMFOZFOZWLPZCDQBDQZKDQWQXHAKDAKULZWPXGBCD
>     
> DXIWOXFWLXIWKXDWNXEFWIXBWJFSWIXBWMFSUMUNUOUPUQURUSABCDEFGHIJVAVBXAXBLNZFOZX
>     
> BMNZXJFOZFOZFOZXLPZMDQZLDQZKDQWRXAXRKDXAXBDRZUHZXQLDXTXJDRZUHZXPMDYBXLDRZUH
>     
> ZXKXKXLFOZFOZXKXBXJXLFOZFOZFOXLXOYDYEYHXKFXAXSYAYCYEYHPZXAWSEVCRZXSYAYCYIVD
>     
> VDVDWSWTVEEVFYJXSYAYCYIDFEXBXJXLGHVGVHVIVKTYDWIWKFOZWJPZBDQADQZYFXLPZXAYMXS
>     
> YAYCABDEFGHVJVLXSYAYCYMYNVDZXAXSYAUHXKDRZYCYOXCXSYAYPJDEXBXJFGHVMVNYLYNXKXK
>     
> WJFOZFOZWJPABXKXLDDWIXKPZYKYRWJYSWIXKWKYQFYSWBWIXKWJFSUMUNBMULZYRYFWJXLYTYQ
>     
> YEXKFWJXLXKFVOTYTWBVPVQVRVSVTYDYHXNXKFYDYGXMXBFWSYAYCYGXMPWTXSDFEXJXLGHWAWC
>     
> TTWDWEWEWEXPWPWIXJFOZWIXMFOZFOZXLPWKWIXLWJFOZFOZFOZXLPKLMABCDDDKAULZXOUUCXL
>     
> UUGXKUUAXNUUBFXBWIXJFSXBWIXMFSUMUNLBULZUUCUUFXLUUHUUAWKUUBUUEFXJWJWIFVOUUHX
>     
> MUUDWIFXJWJXLFVOTUMUNMCULZUUFWOXLWLUUIUUEWNWKFUUIUUDWMWIFXLWLWJFSTTUUIWBVPW
>     FWGWH $.
> $}
>
> I guess this is the end. Nice challenge, I enjoyed it.
>

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