begin
theorem Th1:
theorem Th2:
theorem Th3:
theorem Th4:
theorem
theorem
:: deftheorem Def1 defines with_the_same_dom MESFUNC8:def 1 :
:: deftheorem Def2 defines with_the_same_dom MESFUNC8:def 2 :
:: deftheorem Def3 defines inf MESFUNC8:def 3 :
:: deftheorem Def4 defines sup MESFUNC8:def 4 :
:: deftheorem Def5 defines inferior_realsequence MESFUNC8:def 5 :
:: deftheorem Def6 defines superior_realsequence MESFUNC8:def 6 :
theorem Th7:
theorem Th8:
theorem Th9:
theorem Th10:
:: deftheorem MESFUNC8:def 7 :
canceled;
:: deftheorem Def8 defines lim_inf MESFUNC8:def 8 :
:: deftheorem Def9 defines lim_sup MESFUNC8:def 9 :
theorem Th11:
theorem Th12:
theorem
:: deftheorem Def10 defines lim MESFUNC8:def 10 :
theorem Th14:
theorem Th15:
theorem Th16:
theorem Th17:
theorem Th18:
theorem Th19:
theorem Th20:
theorem Th21:
theorem Th22:
theorem Th23:
theorem
theorem Th25:
theorem Th26:
theorem Th27:
begin
theorem Th28:
theorem
theorem