Step |
Hyp |
Ref |
Expression |
1 |
|
nn0readdcl |
|
2 |
1
|
rehalfcld |
|
3 |
|
flle |
|
4 |
2 3
|
syl |
|
5 |
|
reflcl |
|
6 |
2 5
|
syl |
|
7 |
|
nn0re |
|
8 |
7
|
adantr |
|
9 |
|
letr |
|
10 |
6 2 8 9
|
syl3anc |
|
11 |
4 10
|
mpand |
|
12 |
|
nn0addcl |
|
13 |
12
|
nn0ge0d |
|
14 |
|
halfnneg2 |
|
15 |
1 14
|
syl |
|
16 |
13 15
|
mpbid |
|
17 |
|
flge0nn0 |
|
18 |
2 16 17
|
syl2anc |
|
19 |
|
simpl |
|
20 |
|
facwordi |
|
21 |
20
|
3exp |
|
22 |
18 19 21
|
sylc |
|
23 |
|
faccl |
|
24 |
23
|
nncnd |
|
25 |
24
|
mulid1d |
|
26 |
25
|
adantr |
|
27 |
|
faccl |
|
28 |
27
|
nnred |
|
29 |
28
|
adantl |
|
30 |
23
|
nnred |
|
31 |
23
|
nnnn0d |
|
32 |
31
|
nn0ge0d |
|
33 |
30 32
|
jca |
|
34 |
33
|
adantr |
|
35 |
27
|
nnge1d |
|
36 |
35
|
adantl |
|
37 |
|
1re |
|
38 |
|
lemul2a |
|
39 |
37 38
|
mp3anl1 |
|
40 |
29 34 36 39
|
syl21anc |
|
41 |
26 40
|
eqbrtrrd |
|
42 |
18
|
faccld |
|
43 |
42
|
nnred |
|
44 |
30
|
adantr |
|
45 |
|
remulcl |
|
46 |
30 28 45
|
syl2an |
|
47 |
|
letr |
|
48 |
43 44 46 47
|
syl3anc |
|
49 |
41 48
|
mpan2d |
|
50 |
11 22 49
|
3syld |
|
51 |
|
nn0re |
|
52 |
51
|
adantl |
|
53 |
|
letr |
|
54 |
6 2 52 53
|
syl3anc |
|
55 |
4 54
|
mpand |
|
56 |
|
simpr |
|
57 |
|
facwordi |
|
58 |
57
|
3exp |
|
59 |
18 56 58
|
sylc |
|
60 |
27
|
nncnd |
|
61 |
60
|
mulid2d |
|
62 |
61
|
adantl |
|
63 |
27
|
nnnn0d |
|
64 |
63
|
nn0ge0d |
|
65 |
28 64
|
jca |
|
66 |
65
|
adantl |
|
67 |
23
|
nnge1d |
|
68 |
67
|
adantr |
|
69 |
|
lemul1a |
|
70 |
37 69
|
mp3anl1 |
|
71 |
44 66 68 70
|
syl21anc |
|
72 |
62 71
|
eqbrtrrd |
|
73 |
|
letr |
|
74 |
43 29 46 73
|
syl3anc |
|
75 |
72 74
|
mpan2d |
|
76 |
55 59 75
|
3syld |
|
77 |
|
avgle |
|
78 |
7 51 77
|
syl2an |
|
79 |
50 76 78
|
mpjaod |
|