Step |
Hyp |
Ref |
Expression |
1 |
|
clsk1indlem.k |
|
2 |
|
tpex |
|
3 |
2
|
a1i |
|
4 |
|
snsstp1 |
|
5 |
4
|
a1i |
|
6 |
|
0ex |
|
7 |
6
|
snss |
|
8 |
5 7
|
sylibr |
|
9 |
|
snsstp2 |
|
10 |
9
|
a1i |
|
11 |
|
1oex |
|
12 |
11
|
snss |
|
13 |
10 12
|
sylibr |
|
14 |
8 13
|
prssd |
|
15 |
3 14
|
sselpwd |
|
16 |
15
|
mptru |
|
17 |
|
df3o2 |
|
18 |
17
|
pweqi |
|
19 |
16 18
|
eleqtrri |
|
20 |
19
|
a1i |
|
21 |
|
id |
|
22 |
20 21
|
ifcld |
|
23 |
|
eqeq1 |
|
24 |
|
eqcom |
|
25 |
|
eqif |
|
26 |
24 25
|
bitri |
|
27 |
23 26
|
bitrdi |
|
28 |
|
id |
|
29 |
27 28
|
ifbieq2d |
|
30 |
|
1n0 |
|
31 |
|
dfsn2 |
|
32 |
31
|
eqeq1i |
|
33 |
6
|
a1i |
|
34 |
|
1on |
|
35 |
34
|
a1i |
|
36 |
33 35
|
preq2b |
|
37 |
36
|
mptru |
|
38 |
|
eqcom |
|
39 |
32 37 38
|
3bitri |
|
40 |
30 39
|
nemtbir |
|
41 |
40
|
intnan |
|
42 |
|
pm3.24 |
|
43 |
|
eqcom |
|
44 |
43
|
anbi2ci |
|
45 |
42 44
|
mtbi |
|
46 |
41 45
|
pm3.2ni |
|
47 |
46
|
iffalsei |
|
48 |
29 47
|
eqtrdi |
|
49 |
|
prex |
|
50 |
|
vex |
|
51 |
49 50
|
ifex |
|
52 |
48 1 51
|
fvmpt |
|
53 |
22 52
|
syl |
|
54 |
|
eqeq1 |
|
55 |
|
id |
|
56 |
54 55
|
ifbieq2d |
|
57 |
56 1 51
|
fvmpt |
|
58 |
57
|
fveq2d |
|
59 |
53 58 57
|
3eqtr4d |
|
60 |
59
|
rgen |
|