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= I_{B}(Pi_{B})_{theta}[theta_{B},Lambda^{prime}[I_{0} - I_{B}[1-F(theta_{B})]]] - I_{B}Pi_{B}[theta_{B},Lambda^{prime}[I_{0} - I_{B}[1- F(theta_{B})]]] times cdots \ \
cdots times frac{left[ everymath{displaystyle}setlength{arraycolsep}{1.5pt} begin{array}{l} (Delta_{B})_{theta}[theta_{B},Lambda^{prime}[I_{0}-I_{B}[1-F(theta_{B})]]] + f(theta_{B}) times dots hspace{0.75em} \ \
multicolumn{1}{r}{hspace{0.9em} cdotstimes [I_{0} - I_{B}[1-F(theta_{B})]]Lambda^{primeprime}[I_{0} - I_{B}[1-F(theta_{B})]]}   end{array} right] }   {left[underbrace{everymath{displaystyle}setlength{arraycolsep}{1.5pt}    begin{array}{l}
Delta_{B}[theta_{B},Lambda^{prime}[I_{0}-I_{B}[1-F(theta_{B})]]] - [1- F(theta_{B})]times cdots \ \
multicolumn{1}{r}{cdotstimes[I_{0} - I_{B}[1-F(theta_{B})]]Lambda^{primeprime}[I_{0} - I_{B}[1-F(theta_{B})]]}
end{array}}_{<0 text{ (see appendix)}} right]} leq 0,
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