Step |
Hyp |
Ref |
Expression |
1 |
|
bren |
|
2 |
|
19.41v |
|
3 |
|
3anass |
|
4 |
3
|
exbii |
|
5 |
|
3anass |
|
6 |
2 4 5
|
3bitr4i |
|
7 |
|
sucidg |
|
8 |
|
f1ocnvdm |
|
9 |
8
|
3adant2 |
|
10 |
|
f1ofvswap |
|
11 |
9 10
|
syld3an3 |
|
12 |
|
f1ocnvfv2 |
|
13 |
12
|
opeq2d |
|
14 |
13
|
preq1d |
|
15 |
14
|
uneq2d |
|
16 |
15
|
f1oeq1d |
|
17 |
16
|
3adant2 |
|
18 |
11 17
|
mpbid |
|
19 |
|
f1ofun |
|
20 |
|
opex |
|
21 |
20
|
prid1 |
|
22 |
|
elun2 |
|
23 |
21 22
|
ax-mp |
|
24 |
|
funopfv |
|
25 |
23 24
|
mpi |
|
26 |
18 19 25
|
3syl |
|
27 |
|
simp2 |
|
28 |
|
f1ocnvfv |
|
29 |
18 27 28
|
syl2anc |
|
30 |
26 29
|
mpd |
|
31 |
7 30
|
syl3an3 |
|
32 |
31
|
sneqd |
|
33 |
32
|
difeq2d |
|
34 |
|
vex |
|
35 |
34
|
resex |
|
36 |
|
prex |
|
37 |
35 36
|
unex |
|
38 |
|
simp3 |
|
39 |
7 18
|
syl3an3 |
|
40 |
|
dif1enlem |
|
41 |
37 38 39 40
|
mp3an2i |
|
42 |
33 41
|
eqbrtrrd |
|
43 |
42
|
exlimiv |
|
44 |
6 43
|
sylbir |
|
45 |
1 44
|
syl3an1b |
|
46 |
45
|
3comr |
|