Step |
Hyp |
Ref |
Expression |
1 |
|
iunmapsn.x |
|
2 |
|
iunmapsn.a |
|
3 |
|
iunmapsn.b |
|
4 |
|
iunmapsn.c |
|
5 |
1 2 3
|
iunmapss |
|
6 |
|
simpr |
|
7 |
3
|
ex |
|
8 |
1 7
|
ralrimi |
|
9 |
|
iunexg |
|
10 |
2 8 9
|
syl2anc |
|
11 |
10 4
|
mapsnd |
|
12 |
11
|
adantr |
|
13 |
6 12
|
eleqtrd |
|
14 |
|
abid |
|
15 |
13 14
|
sylib |
|
16 |
|
eliun |
|
17 |
16
|
biimpi |
|
18 |
17
|
3ad2ant2 |
|
19 |
|
nfcv |
|
20 |
|
nfiu1 |
|
21 |
19 20
|
nfel |
|
22 |
|
nfv |
|
23 |
1 21 22
|
nf3an |
|
24 |
|
rspe |
|
25 |
24
|
ancoms |
|
26 |
|
abid |
|
27 |
25 26
|
sylibr |
|
28 |
27
|
adantll |
|
29 |
28
|
3adant2 |
|
30 |
4
|
adantr |
|
31 |
3 30
|
mapsnd |
|
32 |
31
|
eqcomd |
|
33 |
32
|
3adant3 |
|
34 |
33
|
3adant1r |
|
35 |
29 34
|
eleqtrd |
|
36 |
35
|
3exp |
|
37 |
36
|
3adant2 |
|
38 |
23 37
|
reximdai |
|
39 |
18 38
|
mpd |
|
40 |
39
|
3exp |
|
41 |
40
|
rexlimdv |
|
42 |
41
|
adantr |
|
43 |
15 42
|
mpd |
|
44 |
|
eliun |
|
45 |
43 44
|
sylibr |
|
46 |
5 45
|
eqelssd |
|