Step |
Hyp |
Ref |
Expression |
1 |
|
ebtwntg.1 |
|
2 |
|
ebtwntg.2 |
|
3 |
|
ebtwntg.3 |
|
4 |
|
ebtwntg.x |
|
5 |
|
ebtwntg.y |
|
6 |
|
ebtwntg.z |
|
7 |
|
itvid |
|
8 |
|
fvexd |
|
9 |
|
eengstr |
|
10 |
1 9
|
syl |
|
11 |
|
structn0fun |
|
12 |
10 11
|
syl |
|
13 |
|
structcnvcnv |
|
14 |
10 13
|
syl |
|
15 |
14
|
funeqd |
|
16 |
12 15
|
mpbird |
|
17 |
|
opex |
|
18 |
17
|
prid1 |
|
19 |
|
elun2 |
|
20 |
18 19
|
ax-mp |
|
21 |
|
eengv |
|
22 |
1 21
|
syl |
|
23 |
20 22
|
eleqtrrid |
|
24 |
|
fvex |
|
25 |
24 24
|
mpoex |
|
26 |
25
|
a1i |
|
27 |
7 8 16 23 26
|
strfv2d |
|
28 |
3 27
|
eqtr4id |
|
29 |
|
simprl |
|
30 |
|
simprr |
|
31 |
29 30
|
opeq12d |
|
32 |
31
|
breq2d |
|
33 |
32
|
rabbidv |
|
34 |
4 2
|
eleqtrdi |
|
35 |
|
eengbas |
|
36 |
1 35
|
syl |
|
37 |
34 36
|
eleqtrrd |
|
38 |
5 2
|
eleqtrdi |
|
39 |
38 36
|
eleqtrrd |
|
40 |
24
|
rabex |
|
41 |
40
|
a1i |
|
42 |
28 33 37 39 41
|
ovmpod |
|
43 |
42
|
eleq2d |
|
44 |
6 2
|
eleqtrdi |
|
45 |
44 36
|
eleqtrrd |
|
46 |
|
breq1 |
|
47 |
46
|
elrab3 |
|
48 |
45 47
|
syl |
|
49 |
43 48
|
bitr2d |
|