:: Real Exponents and Logarithms
:: by Konrad Raczkowski and Andrzej N\c{e}dzusiak
::
:: Received October 1, 1990
:: Copyright (c) 1990 Association of Mizar Users
theorem Th1: :: POWER:1
theorem Th2: :: POWER:2
theorem Th3: :: POWER:3
:: deftheorem Def1 defines -root POWER:def 1 :
theorem :: POWER:4
canceled;
theorem :: POWER:5
theorem Th6: :: POWER:6
theorem :: POWER:7
theorem Th8: :: POWER:8
theorem :: POWER:9
theorem :: POWER:10
theorem Th11: :: POWER:11
theorem Th12: :: POWER:12
theorem Th13: :: POWER:13
theorem :: POWER:14
theorem :: POWER:15
theorem :: POWER:16
theorem :: POWER:17
theorem :: POWER:18
theorem Th19: :: POWER:19
theorem :: POWER:20
theorem Th21: :: POWER:21
theorem :: POWER:22
theorem Th23: :: POWER:23
theorem Th24: :: POWER:24
:: deftheorem Def2 defines to_power POWER:def 2 :
theorem :: POWER:25
canceled;
theorem :: POWER:26
canceled;
theorem :: POWER:27
canceled;
theorem :: POWER:28
canceled;
theorem Th29: :: POWER:29
theorem Th30: :: POWER:30
theorem Th31: :: POWER:31
theorem Th32: :: POWER:32
theorem Th33: :: POWER:33
theorem Th34: :: POWER:34
theorem :: POWER:35
theorem Th36: :: POWER:36
theorem Th37: :: POWER:37
theorem Th38: :: POWER:38
theorem Th39: :: POWER:39
theorem Th40: :: POWER:40
theorem Th41: :: POWER:41
theorem :: POWER:42
theorem :: POWER:43
theorem Th44: :: POWER:44
theorem Th45: :: POWER:45
theorem :: POWER:46
theorem :: POWER:47
canceled;
theorem :: POWER:48
canceled;
theorem :: POWER:49
canceled;
theorem :: POWER:50
theorem Th51: :: POWER:51
theorem Th52: :: POWER:52
theorem Th53: :: POWER:53
theorem Th54: :: POWER:54
theorem :: POWER:55
theorem :: POWER:56
theorem Th57: :: POWER:57
:: deftheorem Def3 defines log POWER:def 3 :
theorem :: POWER:58
canceled;
theorem :: POWER:59
theorem :: POWER:60
theorem :: POWER:61
theorem :: POWER:62
theorem :: POWER:63
theorem :: POWER:64
theorem :: POWER:65
theorem :: POWER:66
theorem :: POWER:67
:: deftheorem defines number_e POWER:def 4 :
theorem Lm7: :: POWER:68
theorem Lm8: :: POWER:69
theorem :: POWER:70
theorem :: POWER:71
theorem :: POWER:72