metamath/valid/amc12-2001-p9.mm (28 lines of code) (raw):
${
$d F x y $.
amc12-2001-p9.0 $e |- ( ph -> F : RR --> RR ) $.
amc12-2001-p9.1 $e |- ( ph -> A. x e. RR+ A. y e. RR+ ( F ` ( x x. y ) ) = (
( F ` x ) / y ) ) $.
amc12-2001-p9.2 $e |- ( ph -> ( F ` ; ; 5 0 0 ) = 3 ) $.
$( (Contributed by Kunhao Zheng, 25-Mar-2021.) $)
amc12-2001-p9 $p |- ( ph -> ( F ` ; ; 6 0 0 ) = ( 5 / 2 ) ) $=
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deccl ax-frege54c 6cn mulid2i mul02i addid1i decm1mma nn0cni eqcomi 5nn0 dec0h
nnne0i mulid1i mul01i decm2mma divmulii oveq1d eqtrd cc div32d fveq2d 5nn wne
6re 6pos elrpii 5re 5pos rpdivcld wa cv wral nn0rei decnncl2 nngt0i anim1i
adantr oveq1 fveq2 eqeq12d oveq2 rspc2v sylc 3cn 6nn divdiv2d div23i mpdan 2cn
2ne0 divreci halfcn mulcomi 3t2e6 oveq1i divcan4i eqtr3i mvllmuli eqtri
3eqtr2ri syl6eq ) AHIUAZIUAZDUBZJIUAZIUAZDUBZHJKLZKLZJMKLZAXJXLXNNLZD
UBZXOAXIXQDAXIXLJKLZHNLZXQAXIUFIUAZIUAZHNLZXTXIYCUCAYCXIYBHXHIYAIXHIIUDOUFI
UEOUGZOOYBUHZIOUQZYAHHIUFIHIIUDOUEOOYAUHZYFHUIUJHUIUKZHUIULUMYHXHXHHIUDOUGU
NULUMUOPAYBXSHNYBXSUCAXSYBXLJYBXLXKIJIUPOUGZOUGZUNZQYBYAIYDOUGUNJVHURZJYBXK
IYAIXKIIUPOYDOOYEYFJYAJIUFIJIIUPOUEOOYGYFJQUSJQUTZJQULVAYMXKXKYIUNULVAVBUOP
VCVDAXLJHXLVERAYKPJVERAQPZHVERAUIPZJIVIAYLPZVFVDVGAXNSRZXRXOUCZAHJHSRAHVJVK
VLPJSRAJVMVNVLPVOAYQVPXLSRZYQVPBVQZCVQZNLZDUBZYTDUBZUUAKLZUCZCSVRBSVRZYRAYS
YQYSAXLXLYJVSXLXKJVHVTVTWAVLPWBAUUGYQFWCUUFYRXLUUANLZDUBZXMUUAKLZUCBCXLXNSS
YTXLUCZUUCUUIUUEUUJUUKUUBUUHDYTXLUUANWDVGUUKUUDXMUUAKYTXLDWEVCWFUUAXNUCZUUI
XRUUJXOUULUUHXQDUUAXNXLNWGVGUUAXNXMKWGWFWHWIWNVDAXOTXNKLZXPAXMTXNKGVCAUUMTJ
NLHKLZXPATHJTVERAWJPYOYNHIVIAHWKURZPYPWLUUNTHKLZJNLZXPTJHWJQUIUUOWMXPJUFMKL
ZNLUURJNLUUQJMQWOWPWQUURJWRQWSUURUUPJNHUURTUIWRUUOHUURNLZHMKLZTUUTUUSHMUIWO
WPWQUOTMNLZMKLUUTTUVAHMKWTXATMWJWOWPXBXCXEXDXAXFXEXGVDVD $.
$}