Step |
Hyp |
Ref |
Expression |
1 |
|
rpre |
|
2 |
1
|
adantl |
|
3 |
|
rpge0 |
|
4 |
3
|
adantl |
|
5 |
|
rpre |
|
6 |
5
|
renegcld |
|
7 |
6
|
adantr |
|
8 |
|
rpcn |
|
9 |
|
rpne0 |
|
10 |
8 9
|
negne0d |
|
11 |
10
|
adantr |
|
12 |
7 11
|
rereccld |
|
13 |
2 4 12
|
recxpcld |
|
14 |
|
simprl |
|
15 |
5
|
ad2antrr |
|
16 |
14 15
|
rpcxpcld |
|
17 |
16
|
rpreccld |
|
18 |
17
|
rprege0d |
|
19 |
|
absid |
|
20 |
18 19
|
syl |
|
21 |
|
simplr |
|
22 |
|
simprr |
|
23 |
|
rpreccl |
|
24 |
23
|
ad2antrr |
|
25 |
24
|
rpcnd |
|
26 |
21 25
|
cxprecd |
|
27 |
|
rpcn |
|
28 |
27
|
ad2antlr |
|
29 |
|
rpne0 |
|
30 |
29
|
ad2antlr |
|
31 |
28 30 25
|
cxpnegd |
|
32 |
|
1cnd |
|
33 |
8
|
ad2antrr |
|
34 |
9
|
ad2antrr |
|
35 |
32 33 34
|
divneg2d |
|
36 |
35
|
oveq2d |
|
37 |
26 31 36
|
3eqtr2d |
|
38 |
33 34
|
recidd |
|
39 |
38
|
oveq2d |
|
40 |
14 15 25
|
cxpmuld |
|
41 |
14
|
rpcnd |
|
42 |
41
|
cxp1d |
|
43 |
39 40 42
|
3eqtr3d |
|
44 |
22 37 43
|
3brtr4d |
|
45 |
|
rpreccl |
|
46 |
45
|
ad2antlr |
|
47 |
46
|
rpred |
|
48 |
46
|
rpge0d |
|
49 |
16
|
rpred |
|
50 |
16
|
rpge0d |
|
51 |
47 48 49 50 24
|
cxplt2d |
|
52 |
44 51
|
mpbird |
|
53 |
21 16 52
|
ltrec1d |
|
54 |
20 53
|
eqbrtrd |
|
55 |
54
|
expr |
|
56 |
55
|
ralrimiva |
|
57 |
|
breq1 |
|
58 |
57
|
rspceaimv |
|
59 |
13 56 58
|
syl2anc |
|
60 |
59
|
ralrimiva |
|
61 |
|
id |
|
62 |
|
rpcxpcl |
|
63 |
61 5 62
|
syl2anr |
|
64 |
63
|
rpreccld |
|
65 |
64
|
rpcnd |
|
66 |
65
|
ralrimiva |
|
67 |
|
rpssre |
|
68 |
67
|
a1i |
|
69 |
66 68
|
rlim0lt |
|
70 |
60 69
|
mpbird |
|