Step |
Hyp |
Ref |
Expression |
1 |
|
brgic |
|
2 |
|
n0 |
|
3 |
1 2
|
bitri |
|
4 |
|
fvexd |
|
5 |
|
fvexd |
|
6 |
|
vex |
|
7 |
6
|
imaex |
|
8 |
7
|
2a1i |
|
9 |
6
|
cnvex |
|
10 |
9
|
imaex |
|
11 |
10
|
2a1i |
|
12 |
|
gimghm |
|
13 |
|
ghmima |
|
14 |
12 13
|
sylan |
|
15 |
|
eqid |
|
16 |
|
eqid |
|
17 |
15 16
|
gimf1o |
|
18 |
|
f1of1 |
|
19 |
17 18
|
syl |
|
20 |
15
|
subgss |
|
21 |
|
f1imacnv |
|
22 |
19 20 21
|
syl2an |
|
23 |
22
|
eqcomd |
|
24 |
14 23
|
jca |
|
25 |
|
eleq1 |
|
26 |
|
imaeq2 |
|
27 |
26
|
eqeq2d |
|
28 |
25 27
|
anbi12d |
|
29 |
24 28
|
syl5ibrcom |
|
30 |
29
|
impr |
|
31 |
|
ghmpreima |
|
32 |
12 31
|
sylan |
|
33 |
|
f1ofo |
|
34 |
17 33
|
syl |
|
35 |
16
|
subgss |
|
36 |
|
foimacnv |
|
37 |
34 35 36
|
syl2an |
|
38 |
37
|
eqcomd |
|
39 |
32 38
|
jca |
|
40 |
|
eleq1 |
|
41 |
|
imaeq2 |
|
42 |
41
|
eqeq2d |
|
43 |
40 42
|
anbi12d |
|
44 |
39 43
|
syl5ibrcom |
|
45 |
44
|
impr |
|
46 |
30 45
|
impbida |
|
47 |
4 5 8 11 46
|
en2d |
|
48 |
47
|
exlimiv |
|
49 |
3 48
|
sylbi |
|