metamath/valid/mathd-algebra-192.mm (23 lines of code) (raw):

${ mathd-algebra-192.0 $e |- ( ph -> Q = ( ; 1 1 - ( 5 x. _i ) ) ) $. mathd-algebra-192.1 $e |- ( ph -> E = ( ; 1 1 + ( 5 x. _i ) ) ) $. mathd-algebra-192.2 $e |- ( ph -> D = ( 2 x. _i ) ) $. $( (Contributed by Kunhao Zheng, 15-Apr-2021.) $) mathd-algebra-192 $p |- ( ph -> ( ( Q x. E ) x. D ) = ( ; ; 2 9 2 x. _i ) ) $= ( cmul co c1 cdc c2 ci c5 1nn0 deccl ax-frege54c eqtri 2nn0 cc c4 cmin cexp c6 c9 caddc nn0cni sqvali mulid1i 1p1e2 decsuc decm2mma2i 5cn ax-icn sqmuli cneg oveq2i sqcli ax-1cn mulneg2ib 5t5e25 negeqi oveq12i 5nn0 subnegi 2p2e4 i2 decaddi 5p1e6 addcomli decadd wcel wceq mulcli subsq mp2an eqtr3i addcli subcli mulcomd oveq12d eqcomd eqtrd syl5req oveq1d oveq2d 4nn0 6nn0 mulassd a1i 2cnd c8 8nn0 8p1e9 cc0 0nn0 dec0h mulid2i 4t2e8 addid1i decm1mma 6t2e12 2cn decmul1c eqtr3d 3eqtrd ) ACDHIZBHIJUAKZUDKZBHIXILMHIZHIZLUEKZLKZMHIZAXG XIBHAXIJJKZNMHIZUFIZXOXPUBIZHIZXGXOLUCIZXPLUCIZUBIZXIXSYBJLKZJKZLNKZUPZUBIZ XIXTYDYAYFUBXTXOXOHIYDXOXOJJOOPZUGZUHXOJJYCJXOJYHOOOOXOYIUIZYJJJLXOOOUJXOQU KULRYANLUCIZUPZYFYAYKMLUCIZHIZYLNMUMUNUOYNYKJUPZHIYLYMYOYKHVGUQYKJYKNUMURZU SYPYKYPUIUTRRYKYEYKNNHIYENUMUHVARVBRVCYGYDYEUFIXIYDYEYDYCJJLOSPZOPUGYELNSVD PUGVEYCJLNXHUDYDYEYQOSVDYDQYEQJLUAYCLOSSYCQVFVHNJUDUMUSVIVJVKRRXOTVLXPTVLYB XSVMYINMUMUNVNZXOXPVOVPVQAXSXRXQHIZXGAXQXRXQTVLAXOXPYIYRVRWJXRTVLAXOXPYIYRV SWJVTAXGYSACXRDXQHEFWAWBWCWDWEABXJXIHGWFAXILHIZMHIXKXNAXILMXITVLAXIXHUDJUAO WGPZWHPUGWJAWKMTVLAUNWJWIAYTXMMHYTXMVMAXHUDXLLLJXISUUAWHXIQSOLWLUEXHLHISWMW NXHLLWLJUALWOWLSWMOWGWPXHQWLWMWQLXCWRWSLXCWTXAUKXBXDWJWEXEXF $. $}