metamath/valid/mathd-algebra-206.mm

$(
  @{
    mathd-algebra-206.0 @e |- ( ph -> A e. RR ) $@
    mathd-algebra-206.1 @e |- ( ph -> B e. RR ) $@
    mathd-algebra-206.2 @e |- F = ( x e. RR |-> ( ( ( x ^ 2 ) + ( A x. x ) ) + B ) ) $@
    mathd-algebra-206.3 @e |- ( ph -> ( 2 x. A ) =/= B ) $@
    mathd-algebra-206.4 @e |- ( ph -> ( F ` ( 2 x. A ) ) = 0 ) $@
    mathd-algebra-206.5 @e |- ( ph -> ( F ` B ) = 0 ) $@
    @( (Contributed by Kunhao Zheng, 4-May-2021.) @)
    mathd-algebra-206 @p |- ( ph -> ( A + B ) = -u 1 ) @=
      ? @.
  @}
$)