Step |
Hyp |
Ref |
Expression |
1 |
|
ffn |
|
2 |
1
|
anim1i |
|
3 |
2
|
3adant3 |
|
4 |
|
3anass |
|
5 |
|
curfv |
|
6 |
4 5
|
sylanbr |
|
7 |
6
|
an32s |
|
8 |
7
|
eqeq1d |
|
9 |
|
eqcom |
|
10 |
8 9
|
syl6bb |
|
11 |
3 10
|
sylan |
|
12 |
|
curf |
|
13 |
12
|
ffvelrnda |
|
14 |
|
elmapfn |
|
15 |
13 14
|
syl |
|
16 |
|
fnbrfvb |
|
17 |
15 16
|
sylan |
|
18 |
17
|
anasss |
|
19 |
|
ibar |
|
20 |
19
|
adantl |
|
21 |
11 18 20
|
3bitr3d |
|
22 |
|
df-br |
|
23 |
|
elfvdm |
|
24 |
22 23
|
sylbi |
|
25 |
|
fdm |
|
26 |
25
|
eleq2d |
|
27 |
26
|
biimpa |
|
28 |
24 27
|
sylan2 |
|
29 |
|
ffvelrn |
|
30 |
|
elmapi |
|
31 |
|
fdm |
|
32 |
29 30 31
|
3syl |
|
33 |
|
vex |
|
34 |
|
vex |
|
35 |
33 34
|
breldm |
|
36 |
|
eleq2 |
|
37 |
36
|
biimpa |
|
38 |
32 35 37
|
syl2an |
|
39 |
38
|
an32s |
|
40 |
28 39
|
mpdan |
|
41 |
28 40
|
jca |
|
42 |
12 41
|
sylan |
|
43 |
42
|
stoic1a |
|
44 |
|
simpl |
|
45 |
44
|
con3i |
|
46 |
45
|
adantl |
|
47 |
43 46
|
2falsed |
|
48 |
21 47
|
pm2.61dan |
|
49 |
48
|
oprabbidv |
|
50 |
|
df-unc |
|
51 |
|
df-mpo |
|
52 |
49 50 51
|
3eqtr4g |
|
53 |
|
fnov |
|
54 |
1 53
|
sylib |
|
55 |
54
|
3ad2ant1 |
|
56 |
52 55
|
eqtr4d |
|