\relax 
\ifx\hyper@anchor\@undefined
\global \let \oldcontentsline\contentsline
\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global \let \oldnewlabel\newlabel
\gdef \newlabel#1#2{\newlabelxx{#1}#2}
\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\let \contentsline\oldcontentsline
\let \newlabel\oldnewlabel}
\else
\global \let \hyper@last\relax 
\fi

\@writefile{toc}{\contentsline {section}{\numberline {1}A derivative of a natural number}{1}{section.1}}
\newlabel{sec:natural}{{1}{1}{A derivative of a natural number\relax }{section.1}{}}
\newlabel{Thm1}{{1}{2}{A derivative of a natural number\relax }{Thm.1}{}}
\newlabel{eq1}{{1}{2}{A derivative of a natural number\relax }{equation.1}{}}
\newlabel{thm:infp}{{4}{4}{A derivative of a natural number\relax }{Thm.4}{}}
\newlabel{thm:periods}{{5}{4}{A derivative of a natural number\relax }{Thm.5}{}}
\@writefile{toc}{\contentsline {section}{\numberline {2}The equation $n'=n$}{4}{section.2}}
\newlabel{Cnj-main}{{1}{4}{The equation $n'=n$\relax }{Cnj.1}{}}
\newlabel{Cnj-alt}{{2}{4}{The equation $n'=n$\relax }{Cnj.2}{}}
\citation{Bar}
\newlabel{cnj:periods}{{3}{5}{The equation $n'=n$\relax }{Cnj.3}{}}
\newlabel{cnj:period2}{{4}{5}{The equation $n'=n$\relax }{Cnj.4}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3}The equation $n'=a$}{5}{section.3}}
\newlabel{Thmn1}{{8}{5}{The equation $n'=a$\relax }{Thm.8}{}}
\newlabel{eqle}{{2}{5}{The equation $n'=a$\relax }{equation.2}{}}
\newlabel{eqge}{{3}{5}{The equation $n'=a$\relax }{equation.3}{}}
\newlabel{eqgge}{{4}{5}{The equation $n'=a$\relax }{equation.4}{}}
\newlabel{crl:finit}{{3}{6}{The equation $n'=a$\relax }{Crl.3}{}}
\newlabel{cnj:even}{{5}{6}{The equation $n'=a$\relax }{Cnj.5}{}}
\newlabel{cnj:Goldbach}{{6}{6}{The equation $n'=a$\relax }{Cnj.6}{}}
\newlabel{Thmtwins}{{10}{6}{The equation $n'=a$\relax }{Thm.10}{}}
\newlabel{thm:unboundi}{{11}{8}{The equation $n'=a$\relax }{Thm.11}{}}
\newlabel{cnj:everyi}{{7}{8}{The equation $n'=a$\relax }{Cnj.7}{}}
\newlabel{cnj:infseq}{{8}{8}{The equation $n'=a$\relax }{Cnj.8}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4}The equation $n''=1$}{9}{section.4}}
\newlabel{cnj:diff2}{{9}{9}{The equation $n''=1$\relax }{Cnj.9}{}}
\newlabel{cnj:twins}{{10}{10}{The equation $n''=1$\relax }{Cnj.10}{}}
\newlabel{cnj:triples}{{11}{10}{The equation $n''=1$\relax }{Cnj.11}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Derivative for integers}{10}{section.5}}
\newlabel{sec:negative}{{5}{10}{Derivative for integers\relax }{section.5}{}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Derivative for rational numbers}{11}{section.6}}
\newlabel{eqr}{{5}{11}{Derivative for rational numbers\relax }{equation.5}{}}
\newlabel{thm:frac}{{14}{11}{Derivative for rational numbers\relax }{Thm.14}{}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Rational solutions of the equation $x'=a.$}{12}{section.7}}
\newlabel{cnj:rat1}{{12}{13}{Rational solutions of the equation $x'=a.$\relax }{Cnj.12}{}}
\newlabel{cnj:natpp}{{13}{13}{Rational solutions of the equation $x'=a.$\relax }{Cnj.13}{}}
\newlabel{cnj:norat}{{14}{13}{Rational solutions of the equation $x'=a.$\relax }{Cnj.14}{}}
\@writefile{toc}{\contentsline {section}{\numberline {8}Logarithmic derivative}{13}{section.8}}
\newlabel{sec:Log}{{8}{13}{Logarithmic derivative\relax }{section.8}{}}
\newlabel{eq:genexp}{{6}{15}{Logarithmic derivative\relax }{equation.6}{}}
\@writefile{toc}{\contentsline {section}{\numberline {9}How to differentiate irrational numbers}{16}{section.9}}
\newlabel{sec:nonrat}{{9}{16}{How to differentiate irrational numbers\relax }{section.9}{}}
\newlabel{eq:potens}{{7}{16}{How to differentiate irrational numbers\relax }{equation.7}{}}
\citation{Con}
\@writefile{toc}{\contentsline {section}{\numberline {10}Arithmetic Derivative for UFD}{17}{section.10}}
\newlabel{sec:UFD}{{10}{17}{Arithmetic Derivative for UFD\relax }{section.10}{}}
\citation{ref:Zoo}
\@writefile{toc}{\contentsline {section}{\numberline {11}Generalized derivatives}{18}{section.11}}
\newlabel{sec:Gen}{{11}{18}{Generalized derivatives\relax }{section.11}{}}
\newlabel{cnj:nobiject}{{15}{19}{Generalized derivatives\relax }{Cnj.15}{}}
\newlabel{cnj:noinject}{{16}{19}{Generalized derivatives\relax }{Cnj.16}{}}
\@writefile{toc}{\contentsline {section}{\numberline {12}The generating function}{20}{section.12}}
\newlabel{sec:genfunc}{{12}{20}{The generating function\relax }{section.12}{}}
\citation{Bar}
\newlabel{thm:genfunc}{{23}{21}{The generating function\relax }{Thm.23}{}}
\citation{Bar}
\citation{Buium}
\citation{Bar}
\citation{Gleason}
\@writefile{toc}{\contentsline {section}{\numberline {13}Logical dependence of the conjectures}{23}{section.13}}
\newlabel{sec:conjd}{{13}{23}{Logical dependence of the conjectures\relax }{section.13}{}}
\@writefile{toc}{\contentsline {section}{\numberline {14}Concluding remarks}{23}{section.14}}
\newlabel{sec:History}{{14}{23}{Concluding remarks\relax }{section.14}{}}
\bibcite{Bar}{1}
\bibcite{Buium}{2}
\bibcite{Con}{3}
\bibcite{Gleason}{4}
\bibcite{ref:Zoo}{5}
