Step |
Hyp |
Ref |
Expression |
1 |
|
wlkv |
|
2 |
|
eqid |
|
3 |
|
eqid |
|
4 |
2 3
|
iswlk |
|
5 |
|
simpr1 |
|
6 |
|
simpr2 |
|
7 |
|
df-ifp |
|
8 |
|
dfsn2 |
|
9 |
|
preq2 |
|
10 |
8 9
|
syl5eq |
|
11 |
10
|
eqeq2d |
|
12 |
11
|
biimpa |
|
13 |
12
|
a1d |
|
14 |
|
simpr |
|
15 |
|
simpl |
|
16 |
|
eqid |
|
17 |
3 16
|
upgredginwlk |
|
18 |
14 15 17
|
syl2anr |
|
19 |
18
|
imp |
|
20 |
|
simprr |
|
21 |
20
|
adantr |
|
22 |
21
|
adantr |
|
23 |
22
|
adantr |
|
24 |
|
simplr |
|
25 |
|
simprr |
|
26 |
|
df-ne |
|
27 |
|
fvexd |
|
28 |
|
fvexd |
|
29 |
|
id |
|
30 |
27 28 29
|
3jca |
|
31 |
26 30
|
sylbir |
|
32 |
31
|
adantr |
|
33 |
32
|
adantl |
|
34 |
2 16
|
upgredgpr |
|
35 |
23 24 25 33 34
|
syl31anc |
|
36 |
35
|
eqcomd |
|
37 |
36
|
exp31 |
|
38 |
19 37
|
mpd |
|
39 |
38
|
com12 |
|
40 |
13 39
|
jaoi |
|
41 |
40
|
com12 |
|
42 |
7 41
|
syl5bi |
|
43 |
42
|
ralimdva |
|
44 |
43
|
ex |
|
45 |
44
|
com23 |
|
46 |
45
|
3impia |
|
47 |
46
|
impcom |
|
48 |
5 6 47
|
3jca |
|
49 |
48
|
exp31 |
|
50 |
49
|
com23 |
|
51 |
4 50
|
sylbid |
|
52 |
51
|
impd |
|
53 |
52
|
impcom |
|
54 |
2 3
|
isupwlk |
|
55 |
54
|
adantl |
|
56 |
53 55
|
mpbird |
|
57 |
56
|
exp31 |
|
58 |
1 57
|
mpid |
|
59 |
58
|
impcom |
|