metamath/valid/algebra-sqineq-4bap1lt4bsqpap1sq.mm (34 lines of code) (raw):
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algebra-sqineq-4bap1lt4bsqpap1sq.0 $e |- ( ph -> A e. RR ) $.
algebra-sqineq-4bap1lt4bsqpap1sq.1 $e |- ( ph -> B e. RR ) $.
$( (Contributed by Stanislas Polu, 26-Nov-2020.) $)
algebra-sqineq-4bap1lt4bsqpap1sq $p |- ( ph -> ( ( 4 x. B ) x. ( A + 1 ) ) <_
( ( 4 x. ( B ^ 2 ) ) + ( ( A + 1 ) ^ 2 ) ) ) $=
( c4 cmul co c1 caddc cexp cle cc0 cmin mulcld breqtrd eqcomd eqtrd oveq2d c2
wbr cr wcel 2re a1i remulcld 1red resubcld sqge0d wceq 2cnd recnd subcld cc
binom2sub syl2anc mulassd mul32d oveq1d subadd23d subdid subsub2d sqmuld sqcld
sq2 mulid1d 2t2e4 oveq12d 4re resqcld addsubd addsubassd addcld mul4d mulcomd
eqtr2d subsub4d addcomd add12d binom2 adddid readdcld bicomd mpbird 1cnd
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