:: Several Differentiation Formulas of Special Functions -- Part {V}
:: by Peng Wang and Bo Li
::
:: Received July 9, 2007
:: Copyright (c) 2007 Association of Mizar Users
:: deftheorem defines sec FDIFF_9:def 1 :
:: deftheorem defines cosec FDIFF_9:def 2 :
theorem Th1: :: FDIFF_9:1
theorem Th2: :: FDIFF_9:2
theorem Th3: :: FDIFF_9:3
theorem :: FDIFF_9:4
theorem :: FDIFF_9:5
theorem Th6: :: FDIFF_9:6
theorem Th7: :: FDIFF_9:7
theorem :: FDIFF_9:8
theorem :: FDIFF_9:9
theorem :: FDIFF_9:10
theorem :: FDIFF_9:11
theorem :: FDIFF_9:12
theorem :: FDIFF_9:13
Lm1:
right_open_halfline 0 = { g where g is Real : 0 < g }
by XXREAL_1:230;
theorem :: FDIFF_9:14
theorem :: FDIFF_9:15
theorem :: FDIFF_9:16
theorem :: FDIFF_9:17
theorem :: FDIFF_9:18
theorem :: FDIFF_9:19
theorem :: FDIFF_9:20
theorem :: FDIFF_9:21
theorem :: FDIFF_9:22
theorem :: FDIFF_9:23
theorem :: FDIFF_9:24
theorem :: FDIFF_9:25
theorem :: FDIFF_9:26
theorem :: FDIFF_9:27
theorem :: FDIFF_9:28
theorem :: FDIFF_9:29
theorem :: FDIFF_9:30
theorem :: FDIFF_9:31
theorem :: FDIFF_9:32
theorem :: FDIFF_9:33
theorem :: FDIFF_9:34
theorem :: FDIFF_9:35
theorem :: FDIFF_9:36
theorem :: FDIFF_9:37
theorem :: FDIFF_9:38
theorem :: FDIFF_9:39
theorem :: FDIFF_9:40
theorem :: FDIFF_9:41
theorem :: FDIFF_9:42
theorem :: FDIFF_9:43
theorem :: FDIFF_9:44
theorem :: FDIFF_9:45