Step |
Hyp |
Ref |
Expression |
1 |
|
mapfien2.s |
|
2 |
|
mapfien2.t |
|
3 |
|
mapfien2.ac |
|
4 |
|
mapfien2.bd |
|
5 |
|
mapfien2.z |
|
6 |
|
mapfien2.w |
|
7 |
|
enfixsn |
|
8 |
5 6 4 7
|
syl3anc |
|
9 |
|
bren |
|
10 |
3 9
|
sylib |
|
11 |
|
eqid |
|
12 |
|
eqid |
|
13 |
|
f1ocnv |
|
14 |
13
|
3ad2ant2 |
|
15 |
|
simp3 |
|
16 |
3
|
3ad2ant1 |
|
17 |
|
relen |
|
18 |
17
|
brrelex1i |
|
19 |
16 18
|
syl |
|
20 |
4
|
3ad2ant1 |
|
21 |
17
|
brrelex1i |
|
22 |
20 21
|
syl |
|
23 |
17
|
brrelex2i |
|
24 |
16 23
|
syl |
|
25 |
17
|
brrelex2i |
|
26 |
20 25
|
syl |
|
27 |
5
|
3ad2ant1 |
|
28 |
1 11 12 14 15 19 22 24 26 27
|
mapfien |
|
29 |
|
ovex |
|
30 |
1 29
|
rabex2 |
|
31 |
30
|
f1oen |
|
32 |
28 31
|
syl |
|
33 |
32
|
3adant3r |
|
34 |
|
breq2 |
|
35 |
34
|
rabbidv |
|
36 |
35 2
|
eqtr4di |
|
37 |
36
|
adantl |
|
38 |
37
|
3ad2ant3 |
|
39 |
33 38
|
breqtrd |
|
40 |
39
|
3exp |
|
41 |
40
|
exlimdv |
|
42 |
10 41
|
mpd |
|
43 |
42
|
exlimdv |
|
44 |
8 43
|
mpd |
|