Step |
Hyp |
Ref |
Expression |
1 |
|
siii.1 |
|
2 |
|
siii.6 |
|
3 |
|
siii.7 |
|
4 |
|
siii.9 |
|
5 |
|
siii.a |
|
6 |
|
siii.b |
|
7 |
|
oveq2 |
|
8 |
4
|
phnvi |
|
9 |
|
eqid |
|
10 |
1 9 3
|
dip0r |
|
11 |
8 5 10
|
mp2an |
|
12 |
7 11
|
eqtrdi |
|
13 |
12
|
abs00bd |
|
14 |
1 2
|
nvge0 |
|
15 |
8 5 14
|
mp2an |
|
16 |
1 2
|
nvge0 |
|
17 |
8 6 16
|
mp2an |
|
18 |
1 2 8 5
|
nvcli |
|
19 |
1 2 8 6
|
nvcli |
|
20 |
18 19
|
mulge0i |
|
21 |
15 17 20
|
mp2an |
|
22 |
13 21
|
eqbrtrdi |
|
23 |
1 3
|
dipcl |
|
24 |
8 5 6 23
|
mp3an |
|
25 |
|
absval |
|
26 |
24 25
|
ax-mp |
|
27 |
19
|
recni |
|
28 |
27
|
sqeq0i |
|
29 |
1 9 2
|
nvz |
|
30 |
8 6 29
|
mp2an |
|
31 |
28 30
|
bitri |
|
32 |
31
|
necon3bii |
|
33 |
1 3
|
dipcl |
|
34 |
8 6 5 33
|
mp3an |
|
35 |
19
|
resqcli |
|
36 |
35
|
recni |
|
37 |
34 36
|
divcan1zi |
|
38 |
32 37
|
sylbir |
|
39 |
1 3
|
dipcj |
|
40 |
8 5 6 39
|
mp3an |
|
41 |
38 40
|
eqtr4di |
|
42 |
41
|
oveq2d |
|
43 |
42
|
fveq2d |
|
44 |
26 43
|
eqtr4id |
|
45 |
38
|
eqcomd |
|
46 |
34 36
|
divclzi |
|
47 |
32 46
|
sylbir |
|
48 |
1 3
|
ipipcj |
|
49 |
8 5 6 48
|
mp3an |
|
50 |
24 34 49
|
mulcomli |
|
51 |
50
|
oveq1i |
|
52 |
|
div23 |
|
53 |
34 24 52
|
mp3an12 |
|
54 |
36 53
|
mpan |
|
55 |
32 54
|
sylbir |
|
56 |
51 55
|
syl5reqr |
|
57 |
24
|
abscli |
|
58 |
57
|
resqcli |
|
59 |
58 35
|
redivclzi |
|
60 |
32 59
|
sylbir |
|
61 |
56 60
|
eqeltrd |
|
62 |
30
|
necon3bii |
|
63 |
19
|
sqgt0i |
|
64 |
62 63
|
sylbir |
|
65 |
57
|
sqge0i |
|
66 |
|
divge0 |
|
67 |
58 65 66
|
mpanl12 |
|
68 |
35 64 67
|
sylancr |
|
69 |
68 56
|
breqtrrd |
|
70 |
|
eqid |
|
71 |
|
eqid |
|
72 |
1 2 3 4 5 6 70 71
|
siilem2 |
|
73 |
47 61 69 72
|
syl3anc |
|
74 |
45 73
|
mpd |
|
75 |
44 74
|
eqbrtrd |
|
76 |
22 75
|
pm2.61ine |
|