Step |
Hyp |
Ref |
Expression |
1 |
|
axtrkg.p |
|
2 |
|
axtrkg.d |
|
3 |
|
axtrkg.i |
|
4 |
|
axtrkg.g |
|
5 |
|
axtgcont.1 |
|
6 |
|
axtgcont.2 |
|
7 |
|
df-trkg |
|
8 |
|
inss1 |
|
9 |
|
inss2 |
|
10 |
8 9
|
sstri |
|
11 |
7 10
|
eqsstri |
|
12 |
11 4
|
sselid |
|
13 |
1 2 3
|
istrkgb |
|
14 |
13
|
simprbi |
|
15 |
14
|
simp3d |
|
16 |
12 15
|
syl |
|
17 |
1
|
fvexi |
|
18 |
17
|
ssex |
|
19 |
|
elpwg |
|
20 |
5 18 19
|
3syl |
|
21 |
5 20
|
mpbird |
|
22 |
17
|
ssex |
|
23 |
|
elpwg |
|
24 |
6 22 23
|
3syl |
|
25 |
6 24
|
mpbird |
|
26 |
|
raleq |
|
27 |
26
|
rexbidv |
|
28 |
|
raleq |
|
29 |
28
|
rexbidv |
|
30 |
27 29
|
imbi12d |
|
31 |
|
raleq |
|
32 |
31
|
rexralbidv |
|
33 |
|
raleq |
|
34 |
33
|
rexralbidv |
|
35 |
32 34
|
imbi12d |
|
36 |
30 35
|
rspc2v |
|
37 |
21 25 36
|
syl2anc |
|
38 |
16 37
|
mpd |
|