Step |
Hyp |
Ref |
Expression |
1 |
|
snnzg |
|
2 |
|
fo1stres |
|
3 |
1 2
|
syl |
|
4 |
|
moeq |
|
5 |
4
|
moani |
|
6 |
|
vex |
|
7 |
6
|
brresi |
|
8 |
|
fo1st |
|
9 |
|
fofn |
|
10 |
8 9
|
ax-mp |
|
11 |
|
vex |
|
12 |
|
fnbrfvb |
|
13 |
10 11 12
|
mp2an |
|
14 |
13
|
anbi2i |
|
15 |
|
elxp7 |
|
16 |
|
eleq1 |
|
17 |
16
|
biimpac |
|
18 |
17
|
adantlr |
|
19 |
18
|
adantll |
|
20 |
|
elsni |
|
21 |
|
eqopi |
|
22 |
21
|
anass1rs |
|
23 |
20 22
|
sylanl2 |
|
24 |
23
|
adantlrl |
|
25 |
19 24
|
jca |
|
26 |
15 25
|
sylanb |
|
27 |
26
|
adantl |
|
28 |
|
simprr |
|
29 |
|
simprl |
|
30 |
|
snidg |
|
31 |
30
|
adantr |
|
32 |
29 31
|
opelxpd |
|
33 |
28 32
|
eqeltrd |
|
34 |
28
|
fveq2d |
|
35 |
|
simpl |
|
36 |
|
op1stg |
|
37 |
29 35 36
|
syl2anc |
|
38 |
34 37
|
eqtrd |
|
39 |
33 38
|
jca |
|
40 |
27 39
|
impbida |
|
41 |
14 40
|
bitr3id |
|
42 |
7 41
|
syl5bb |
|
43 |
42
|
mobidv |
|
44 |
5 43
|
mpbiri |
|
45 |
44
|
alrimiv |
|
46 |
|
funcnv2 |
|
47 |
45 46
|
sylibr |
|
48 |
|
dff1o3 |
|
49 |
3 47 48
|
sylanbrc |
|