begin
theorem Th1:
theorem
begin
:: deftheorem Def1 defines aseq IRRAT_1:def 1 :
:: deftheorem Def2 defines bseq IRRAT_1:def 2 :
:: deftheorem Def3 defines cseq IRRAT_1:def 3 :
theorem Th3:
:: deftheorem Def4 defines dseq IRRAT_1:def 4 :
:: deftheorem Def5 defines eseq IRRAT_1:def 5 :
theorem Th4:
theorem
canceled;
theorem Th6:
theorem Th7:
theorem Th8:
theorem Th9:
theorem Th10:
theorem Th11:
theorem Th12:
theorem Th13:
theorem Th14:
theorem Th15:
theorem Th16:
theorem Th17:
theorem Th18:
theorem Th19:
theorem Th20:
theorem Th21:
theorem Th22:
theorem Th23:
theorem Th24:
theorem Th25:
theorem Th26:
theorem Th27:
theorem Th28:
theorem Th29:
theorem Th30:
theorem Th31:
:: deftheorem defines number_e IRRAT_1:def 6 :
:: deftheorem defines number_e IRRAT_1:def 7 :
begin
theorem Th32:
theorem Th33:
theorem
theorem Th35:
theorem Th36:
theorem Th37:
theorem Th38:
theorem Th39:
theorem Th40:
theorem Th41:
theorem