Step |
Hyp |
Ref |
Expression |
1 |
|
idn1 |
|
2 |
|
sbceqg |
|
3 |
1 2
|
e1a |
|
4 |
|
csbima12 |
|
5 |
4
|
a1i |
|
6 |
1 5
|
e1a |
|
7 |
|
csbsng |
|
8 |
1 7
|
e1a |
|
9 |
|
imaeq2 |
|
10 |
8 9
|
e1a |
|
11 |
|
eqeq1 |
|
12 |
11
|
biimprd |
|
13 |
6 10 12
|
e11 |
|
14 |
|
csbconstg |
|
15 |
1 14
|
e1a |
|
16 |
|
eqeq12 |
|
17 |
16
|
ex |
|
18 |
13 15 17
|
e11 |
|
19 |
|
bibi1 |
|
20 |
19
|
biimprd |
|
21 |
3 18 20
|
e11 |
|
22 |
21
|
gen11 |
|
23 |
|
abbi |
|
24 |
23
|
biimpi |
|
25 |
22 24
|
e1a |
|
26 |
|
csbab |
|
27 |
26
|
a1i |
|
28 |
1 27
|
e1a |
|
29 |
|
eqeq2 |
|
30 |
29
|
biimpd |
|
31 |
25 28 30
|
e11 |
|
32 |
|
unieq |
|
33 |
31 32
|
e1a |
|
34 |
|
csbuni |
|
35 |
34
|
a1i |
|
36 |
1 35
|
e1a |
|
37 |
|
eqeq2 |
|
38 |
37
|
biimpd |
|
39 |
33 36 38
|
e11 |
|
40 |
|
dffv4 |
|
41 |
40
|
ax-gen |
|
42 |
|
csbeq2 |
|
43 |
42
|
a1i |
|
44 |
1 41 43
|
e10 |
|
45 |
|
eqeq2 |
|
46 |
45
|
biimpd |
|
47 |
39 44 46
|
e11 |
|
48 |
|
dffv4 |
|
49 |
|
eqeq2 |
|
50 |
49
|
biimprcd |
|
51 |
47 48 50
|
e10 |
|
52 |
51
|
in1 |
|