Department of Mathematics

Short proofs in mathematics

• Unique factorization
• Zorn's Lemma (dvi file, pdf file, or postscript file)
• Well ordering of any set (dvi file, pdf file, or postscript file)
• Fixed points of increasing functions (dvi file, pdf file, or postscript file)
• Hilbert's Nullstellensatz (dvi file, pdf file, or postscript file). See also Bernstein's summary, as well as Swan's unpublished paper.