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@ -61,7 +61,10 @@ Let's expand $#sym.RR$ to include a tropical additive identity.
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#problem()
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Do tropical additive inverses exist? \
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#note([Is there an inverse $y$ for every $x$ so that $x #tp y = #sym.infinity$?])
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#note([
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Is there an inverse $y$ for every $x$ so that $x #tp y = #sym.infinity$? \
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Remember that $#sym.infinity$ is the additive identity.
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])
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#solution([
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No. Unless $x = #sym.infinity$, there is no x where $min(x, y) = #sym.infinity$
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