Step |
Hyp |
Ref |
Expression |
1 |
|
tfsconcat.op |
|
2 |
1
|
a1i |
|
3 |
|
simprl |
|
4 |
|
dmeq |
|
5 |
4
|
adantr |
|
6 |
|
fndm |
|
7 |
6
|
adantr |
|
8 |
7
|
adantr |
|
9 |
5 8
|
sylan9eqr |
|
10 |
|
dmeq |
|
11 |
10
|
adantl |
|
12 |
|
fndm |
|
13 |
12
|
adantl |
|
14 |
13
|
adantr |
|
15 |
11 14
|
sylan9eqr |
|
16 |
9 15
|
oveq12d |
|
17 |
16 9
|
difeq12d |
|
18 |
17
|
eleq2d |
|
19 |
9
|
oveq1d |
|
20 |
19
|
eqeq2d |
|
21 |
|
fveq1 |
|
22 |
21
|
eqeq2d |
|
23 |
22
|
adantl |
|
24 |
23
|
adantl |
|
25 |
20 24
|
anbi12d |
|
26 |
15 25
|
rexeqbidv |
|
27 |
18 26
|
anbi12d |
|
28 |
27
|
opabbidv |
|
29 |
3 28
|
uneq12d |
|
30 |
|
fnex |
|
31 |
30
|
ad2ant2r |
|
32 |
|
fnex |
|
33 |
32
|
ad2ant2l |
|
34 |
|
oacl |
|
35 |
34
|
difexd |
|
36 |
35
|
adantl |
|
37 |
|
simplrl |
|
38 |
|
simplrr |
|
39 |
|
simpr |
|
40 |
|
tfsconcatlem |
|
41 |
37 38 39 40
|
syl3anc |
|
42 |
|
euabex |
|
43 |
41 42
|
syl |
|
44 |
36 43
|
opabex3d |
|
45 |
31 44
|
unexd |
|
46 |
2 29 31 33 45
|
ovmpod |
|