Step |
Hyp |
Ref |
Expression |
1 |
|
cnf2 |
|
2 |
1
|
3expia |
|
3 |
|
elpwi |
|
4 |
3
|
adantl |
|
5 |
|
toponuni |
|
6 |
5
|
ad2antrr |
|
7 |
4 6
|
sseqtrd |
|
8 |
|
eqid |
|
9 |
8
|
cnclsi |
|
10 |
9
|
expcom |
|
11 |
7 10
|
syl |
|
12 |
11
|
ralrimdva |
|
13 |
2 12
|
jcad |
|
14 |
|
toponmax |
|
15 |
14
|
ad3antrrr |
|
16 |
|
cnvimass |
|
17 |
|
fdm |
|
18 |
17
|
ad2antlr |
|
19 |
16 18
|
sseqtrid |
|
20 |
15 19
|
sselpwd |
|
21 |
|
fveq2 |
|
22 |
21
|
imaeq2d |
|
23 |
|
imaeq2 |
|
24 |
23
|
fveq2d |
|
25 |
22 24
|
sseq12d |
|
26 |
25
|
rspcv |
|
27 |
20 26
|
syl |
|
28 |
|
topontop |
|
29 |
28
|
ad3antlr |
|
30 |
|
elpwi |
|
31 |
30
|
adantl |
|
32 |
|
toponuni |
|
33 |
32
|
ad3antlr |
|
34 |
31 33
|
sseqtrd |
|
35 |
|
ffun |
|
36 |
35
|
ad2antlr |
|
37 |
|
funimacnv |
|
38 |
36 37
|
syl |
|
39 |
|
inss1 |
|
40 |
38 39
|
eqsstrdi |
|
41 |
|
eqid |
|
42 |
41
|
clsss |
|
43 |
29 34 40 42
|
syl3anc |
|
44 |
|
sstr2 |
|
45 |
43 44
|
syl5com |
|
46 |
|
topontop |
|
47 |
46
|
ad3antrrr |
|
48 |
5
|
ad3antrrr |
|
49 |
18 48
|
eqtrd |
|
50 |
16 49
|
sseqtrid |
|
51 |
8
|
clsss3 |
|
52 |
47 50 51
|
syl2anc |
|
53 |
52 49
|
sseqtrrd |
|
54 |
|
funimass3 |
|
55 |
36 53 54
|
syl2anc |
|
56 |
45 55
|
sylibd |
|
57 |
27 56
|
syld |
|
58 |
57
|
ralrimdva |
|
59 |
58
|
imdistanda |
|
60 |
|
cncls2 |
|
61 |
59 60
|
sylibrd |
|
62 |
13 61
|
impbid |
|