Step |
Hyp |
Ref |
Expression |
1 |
|
swrdsb0eq |
|
2 |
1
|
3expa |
|
3 |
2
|
ancoms |
|
4 |
3
|
3adantr3 |
|
5 |
|
ral0 |
|
6 |
|
nn0z |
|
7 |
|
nn0z |
|
8 |
|
fzon |
|
9 |
6 7 8
|
syl2an |
|
10 |
9
|
biimpa |
|
11 |
10
|
raleqdv |
|
12 |
5 11
|
mpbiri |
|
13 |
12
|
ex |
|
14 |
13
|
3ad2ant2 |
|
15 |
14
|
impcom |
|
16 |
4 15
|
2thd |
|
17 |
|
swrdcl |
|
18 |
|
swrdcl |
|
19 |
|
eqwrd |
|
20 |
17 18 19
|
syl2an |
|
21 |
20
|
3ad2ant1 |
|
22 |
21
|
adantl |
|
23 |
|
swrdsbslen |
|
24 |
23
|
adantl |
|
25 |
24
|
biantrurd |
|
26 |
|
nn0re |
|
27 |
|
nn0re |
|
28 |
|
ltnle |
|
29 |
|
ltle |
|
30 |
28 29
|
sylbird |
|
31 |
26 27 30
|
syl2an |
|
32 |
31
|
3ad2ant2 |
|
33 |
|
simpl1l |
|
34 |
|
simpl2l |
|
35 |
6 7
|
anim12i |
|
36 |
35
|
3ad2ant2 |
|
37 |
36
|
anim1i |
|
38 |
|
df-3an |
|
39 |
37 38
|
sylibr |
|
40 |
|
eluz2 |
|
41 |
39 40
|
sylibr |
|
42 |
34 41
|
jca |
|
43 |
|
simpl3l |
|
44 |
|
swrdlen2 |
|
45 |
33 42 43 44
|
syl3anc |
|
46 |
45
|
oveq2d |
|
47 |
46
|
raleqdv |
|
48 |
|
0zd |
|
49 |
|
zsubcl |
|
50 |
7 6 49
|
syl2anr |
|
51 |
50
|
3ad2ant2 |
|
52 |
6
|
adantr |
|
53 |
52
|
3ad2ant2 |
|
54 |
|
fzoshftral |
|
55 |
48 51 53 54
|
syl3anc |
|
56 |
55
|
adantr |
|
57 |
|
nn0cn |
|
58 |
|
nn0cn |
|
59 |
|
addid2 |
|
60 |
59
|
adantl |
|
61 |
|
npcan |
|
62 |
60 61
|
oveq12d |
|
63 |
57 58 62
|
syl2anr |
|
64 |
63
|
3ad2ant2 |
|
65 |
64
|
adantr |
|
66 |
65
|
raleqdv |
|
67 |
|
ovex |
|
68 |
|
sbceqg |
|
69 |
|
csbfv2g |
|
70 |
|
csbvarg |
|
71 |
70
|
fveq2d |
|
72 |
69 71
|
eqtrd |
|
73 |
|
csbfv2g |
|
74 |
70
|
fveq2d |
|
75 |
73 74
|
eqtrd |
|
76 |
72 75
|
eqeq12d |
|
77 |
68 76
|
bitrd |
|
78 |
67 77
|
mp1i |
|
79 |
33 42 43
|
3jca |
|
80 |
|
swrdfv2 |
|
81 |
79 80
|
sylan |
|
82 |
|
simpl1r |
|
83 |
|
simpl3r |
|
84 |
82 42 83
|
3jca |
|
85 |
|
swrdfv2 |
|
86 |
84 85
|
sylan |
|
87 |
81 86
|
eqeq12d |
|
88 |
78 87
|
bitrd |
|
89 |
88
|
ralbidva |
|
90 |
66 89
|
bitrd |
|
91 |
47 56 90
|
3bitrd |
|
92 |
91
|
ex |
|
93 |
32 92
|
syld |
|
94 |
93
|
impcom |
|
95 |
22 25 94
|
3bitr2d |
|
96 |
16 95
|
pm2.61ian |
|