Finite sums theorem (source code)

= Finite sums theorem
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For every dimension $m$, every <finite coloring> of the <positive integer>[positive integers] contains $x_1,\ldots,x_m$ for which all nonempty sums of distinct $x_i$ have one color. This is the case $p=c=1$ of the <monochromatic m-p-c set theorem>.

= Folkman theorem
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{synonym}