Step |
Hyp |
Ref |
Expression |
1 |
|
reldom |
|
2 |
1
|
brrelex2i |
|
3 |
|
domeng |
|
4 |
|
bren |
|
5 |
|
harcl |
|
6 |
|
infxpenc2 |
|
7 |
5 6
|
ax-mp |
|
8 |
|
simpr |
|
9 |
|
oveq2 |
|
10 |
9
|
cbviunv |
|
11 |
|
f1eq3 |
|
12 |
10 11
|
ax-mp |
|
13 |
8 12
|
sylib |
|
14 |
|
simpllr |
|
15 |
|
simplll |
|
16 |
|
biid |
|
17 |
|
simplr |
|
18 |
|
sseq2 |
|
19 |
|
fveq2 |
|
20 |
|
f1oeq1 |
|
21 |
19 20
|
syl |
|
22 |
|
xpeq12 |
|
23 |
22
|
anidms |
|
24 |
23
|
f1oeq2d |
|
25 |
|
f1oeq3 |
|
26 |
21 24 25
|
3bitrd |
|
27 |
18 26
|
imbi12d |
|
28 |
27
|
cbvralvw |
|
29 |
17 28
|
sylib |
|
30 |
|
eqid |
|
31 |
|
eqid |
|
32 |
|
eqid |
|
33 |
|
eqid |
|
34 |
|
oveq2 |
|
35 |
34
|
cbviunv |
|
36 |
35
|
mpteq1i |
|
37 |
|
eqid |
|
38 |
|
eqid |
|
39 |
13 14 15 16 29 30 31 32 33 36 37 38
|
pwfseqlem5 |
|
40 |
39
|
imnani |
|
41 |
40
|
nexdv |
|
42 |
|
brdomi |
|
43 |
41 42
|
nsyl |
|
44 |
43
|
ex |
|
45 |
44
|
exlimdv |
|
46 |
7 45
|
mpi |
|
47 |
46
|
ex |
|
48 |
47
|
exlimiv |
|
49 |
4 48
|
sylbi |
|
50 |
49
|
imp |
|
51 |
50
|
exlimiv |
|
52 |
3 51
|
syl6bi |
|
53 |
2 52
|
mpcom |
|