metamath/valid/algebra-sqineq-36azm9asqle36zsq.mm (25 lines of code) (raw):

${ algebra-sqineq-36azm9asqle36zsq.0 $e |- ( ph -> Z e. RR ) $. algebra-sqineq-36azm9asqle36zsq.1 $e |- ( ph -> A e. RR ) $. $( (Contributed by Stanislas Polu, 8-Oct-2020.) $) algebra-sqineq-36azm9asqle36zsq $p |- ( ph -> ( ( ; 3 6 x. ( A x. Z ) ) - ( 9 x. ( A ^ 2 ) ) ) <_ ( ; 3 6 x. ( Z ^ 2 ) ) ) $= ( c3 c6 cmul co c9 c2 cexp cmin cle cc0 wcel a1i remulcld cc mulcld cdc wbr caddc cr 6re 3re resubcld sqge0d wceq 6cn recnd 3cn binom2sub syl2anc sqcld breqtrd 2cnd subsubd eqcomd mulcomd oveq2d eqidd oveq12d c1 1nn0 1p1e2 6nn0 sqmuld numexp1 6t6e36 expp1i oveq1d eqtrd mulassd mul4d 2cn 6t2e12 mulcomli 2nn decnncl nncni 3nn0 2nn0 0nn0 ax-frege54c dec0h mulid2i addid1i decm1mma 3t2e6 oveq1i syl6eq sq3 6nn nnrei resqcld 9re subge0d bicomd mpbird ) AFGUA ZBCHIZHIZJBKLIZHIZMIZXACKLIZHIZNUBZOXHXFMIZNUBZAOGCHIZKLIZKFBHIZXLHIZHIZXNK LIZMIZMIZXJNAOXMKXLXNHIZHIZXQMIZMIZXSNAOXMYAMIXQUCIZYCNAOXLXNMIZKLIZYDNAYEA XLXNAGCGUDPAUEQDRAFBFUDPAUFQERUGUHAXLSPXNSPYFYDUIAGCGSPAUJQZACDUKZTZAFBFSPA ULQZABEUKZTZXLXNUMUNUPAYCYDAXMYAXQAXLYIUOAKXTAUQZAXLXNYIYLTTAXNYLUOURUSUPAY BXRXMMAYAXPXQXQMAXTXOKHAXLXNYIYLUTVAAXQVBVCVAUPAXMXHXRXFMAXMGKLIZXGHIXHAGCY GYHVHAYNXAXGHYNXAUIAGXAGVDKUJVEVFGVGVIVJVKQVLVMAXPXCXQXEMAXPKXNHIXLHIZXCAYO XPAKXNXLYMYLYIVNUSAYOKGHIZXNCHIZHIZXCAKXNGCYMYLYGYHVOAYRVDKUAZFXBHIZHIZXCAY PYSYQYTHYPYSUIAGKYSUJVPVQVRQAFBCYJYKYHVNVCAUUAYSFHIZXBHIZXCAUUCUUAAYSFXBYSS PAYSVDKVEVSVTWAQYJABCYKYHTVNUSUUBXAXBHYSFFGVDKFOGWBVGVEWCWDYSWEGVGWFFULWGFK GULVPWJVRFULWHWIWKWLVMVMVMAXQFKLIZXDHIXEAFBYJYKVHAUUDJXDHUUDJUIAWMQVLVMVCVC UPAXKXIAXHXFAXAXGXAUDPAXAFGWBWNVTWOQZACDWPRAXCXEAXAXBUUEABCEDRRAJXDJUDPAWQQ ABEWPRUGWRWSWT $. $}