\BOOKMARK [1][-]{section.1}{Initial remarks}{} \BOOKMARK [1][-]{section.2}{Conclusion}{} \BOOKMARK [1][-]{section.3}{Introduction}{} \BOOKMARK [1][-]{section.4}{First order predicate calculus}{} \BOOKMARK [2][-]{subsection.4.1}{Deduction lemma}{section.4} \BOOKMARK [2][-]{subsection.4.2}{A little proof}{section.4} \BOOKMARK [1][-]{section.5}{Natural deduction}{} \BOOKMARK [2][-]{subsection.5.1}{Derived theorems}{section.5} \BOOKMARK [2][-]{subsection.5.2}{Law of the Excluded Middle}{section.5} \BOOKMARK [1][-]{section.A}{Pyk definitions}{} \BOOKMARK [1][-]{section.B}{Tex definitions}{} \BOOKMARK [1][-]{section.C}{Priority table}{}