:: FDIFF_7 semantic presentation
theorem Th1: :: FDIFF_7:1
theorem Th2: :: FDIFF_7:2
theorem Th3: :: FDIFF_7:3
Lemma38:
for x being Real holds 2 * ((cos . (x / 2)) ^2 ) = 1 + (cos . x)
Lemma39:
for x being Real holds 2 * ((sin . (x / 2)) ^2 ) = 1 - (cos . x)
theorem Th4: :: FDIFF_7:4
theorem Th5: :: FDIFF_7:5
theorem Th6: :: FDIFF_7:6
theorem Th7: :: FDIFF_7:7
theorem Th8: :: FDIFF_7:8
theorem Th9: :: FDIFF_7:9
theorem Th10: :: FDIFF_7:10
theorem Th11: :: FDIFF_7:11
theorem Th12: :: FDIFF_7:12
theorem Th13: :: FDIFF_7:13
theorem Th14: :: FDIFF_7:14
theorem Th15: :: FDIFF_7:15
theorem Th16: :: FDIFF_7:16
theorem Th17: :: FDIFF_7:17
theorem Th18: :: FDIFF_7:18
theorem Th19: :: FDIFF_7:19
theorem Th20: :: FDIFF_7:20
theorem Th21: :: FDIFF_7:21
theorem Th22: :: FDIFF_7:22
theorem Th23: :: FDIFF_7:23
theorem Th24: :: FDIFF_7:24
theorem Th25: :: FDIFF_7:25
theorem Th26: :: FDIFF_7:26
theorem Th27: :: FDIFF_7:27
theorem Th28: :: FDIFF_7:28
theorem Th29: :: FDIFF_7:29
theorem Th30: :: FDIFF_7:30
theorem Th31: :: FDIFF_7:31
theorem Th32: :: FDIFF_7:32
theorem Th33: :: FDIFF_7:33
theorem Th34: :: FDIFF_7:34
theorem Th35: :: FDIFF_7:35
theorem Th36: :: FDIFF_7:36
theorem Th37: :: FDIFF_7:37
theorem Th38: :: FDIFF_7:38
theorem Th39: :: FDIFF_7:39
theorem Th40: :: FDIFF_7:40
theorem Th41: :: FDIFF_7:41
theorem Th42: :: FDIFF_7:42
theorem Th43: :: FDIFF_7:43
theorem Th44: :: FDIFF_7:44
theorem Th45: :: FDIFF_7:45
theorem Th46: :: FDIFF_7:46
theorem Th47: :: FDIFF_7:47
theorem Th48: :: FDIFF_7:48
theorem Th49: :: FDIFF_7:49
theorem Th50: :: FDIFF_7:50
theorem Th51: :: FDIFF_7:51