Step |
Hyp |
Ref |
Expression |
1 |
|
1oex |
|
2 |
|
1n0 |
|
3 |
|
nelsn |
|
4 |
2 3
|
ax-mp |
|
5 |
|
eldif |
|
6 |
|
ne0i |
|
7 |
5 6
|
sylbir |
|
8 |
1 4 7
|
mp2an |
|
9 |
|
r19.2zb |
|
10 |
8 9
|
mpbi |
|
11 |
|
rexex |
|
12 |
|
rexanali |
|
13 |
12
|
exbii |
|
14 |
|
exnal |
|
15 |
13 14
|
sylbb |
|
16 |
10 11 15
|
3syl |
|
17 |
|
difelpw |
|
18 |
17
|
adantr |
|
19 |
18
|
fmpttd |
|
20 |
|
pwexg |
|
21 |
20 20
|
elmapd |
|
22 |
19 21
|
mpbird |
|
23 |
|
simpllr |
|
24 |
|
difeq2 |
|
25 |
24
|
cbvmptv |
|
26 |
23 25
|
eqtrdi |
|
27 |
|
difeq2 |
|
28 |
27
|
adantl |
|
29 |
|
simplll |
|
30 |
|
simplr |
|
31 |
30
|
elpwid |
|
32 |
|
simpr |
|
33 |
32
|
elpwid |
|
34 |
31 33
|
unssd |
|
35 |
29 34
|
sselpwd |
|
36 |
|
vex |
|
37 |
36
|
difexi |
|
38 |
37
|
a1i |
|
39 |
26 28 35 38
|
fvmptd |
|
40 |
|
difeq2 |
|
41 |
40
|
adantl |
|
42 |
36
|
difexi |
|
43 |
42
|
a1i |
|
44 |
26 41 30 43
|
fvmptd |
|
45 |
|
difeq2 |
|
46 |
45
|
adantl |
|
47 |
36
|
difexi |
|
48 |
47
|
a1i |
|
49 |
26 46 32 48
|
fvmptd |
|
50 |
44 49
|
uneq12d |
|
51 |
|
difindi |
|
52 |
50 51
|
eqtr4di |
|
53 |
39 52
|
sseq12d |
|
54 |
53
|
ralbidva |
|
55 |
54
|
ralbidva |
|
56 |
52
|
eqeq1d |
|
57 |
56
|
imbi2d |
|
58 |
57
|
ralbidva |
|
59 |
58
|
ralbidva |
|
60 |
59
|
notbid |
|
61 |
55 60
|
anbi12d |
|
62 |
|
pwidg |
|
63 |
|
ssidd |
|
64 |
|
eldifsnneq |
|
65 |
|
uneq1 |
|
66 |
65
|
eqeq1d |
|
67 |
|
ssequn2 |
|
68 |
66 67
|
bitr4di |
|
69 |
|
ineq1 |
|
70 |
69
|
difeq2d |
|
71 |
70
|
eqeq1d |
|
72 |
71
|
notbid |
|
73 |
68 72
|
anbi12d |
|
74 |
|
sseq1 |
|
75 |
|
ineq2 |
|
76 |
|
inidm |
|
77 |
75 76
|
eqtrdi |
|
78 |
77
|
difeq2d |
|
79 |
|
difid |
|
80 |
78 79
|
eqtrdi |
|
81 |
80
|
eqeq1d |
|
82 |
|
eqcom |
|
83 |
81 82
|
syl6bb |
|
84 |
83
|
notbid |
|
85 |
74 84
|
anbi12d |
|
86 |
73 85
|
rspc2ev |
|
87 |
62 62 63 64 86
|
syl112anc |
|
88 |
|
rexanali |
|
89 |
88
|
rexbii |
|
90 |
|
rexnal |
|
91 |
89 90
|
sylbb |
|
92 |
87 91
|
syl |
|
93 |
|
inss1 |
|
94 |
|
ssun1 |
|
95 |
93 94
|
sstri |
|
96 |
|
sscon |
|
97 |
95 96
|
ax-mp |
|
98 |
97
|
rgen2w |
|
99 |
92 98
|
jctil |
|
100 |
22 61 99
|
rspcedvd |
|
101 |
16 100
|
mprg |
|