Step |
Hyp |
Ref |
Expression |
1 |
|
imasnopn.1 |
|
2 |
|
imasnopn.2 |
|
3 |
2
|
toptopon |
|
4 |
3
|
biimpi |
|
5 |
4
|
ad2antlr |
|
6 |
1
|
toptopon |
|
7 |
6
|
biimpi |
|
8 |
7
|
ad2antrr |
|
9 |
|
simprr |
|
10 |
5 8 9
|
cnmptc |
|
11 |
5
|
cnmptid |
|
12 |
5 10 11
|
cnmpt1t |
|
13 |
|
simprl |
|
14 |
1 2
|
txuni |
|
15 |
14
|
adantr |
|
16 |
13 15
|
sseqtrd |
|
17 |
|
eqid |
|
18 |
17
|
cncls2i |
|
19 |
12 16 18
|
syl2anc |
|
20 |
|
nfv |
|
21 |
|
nfcv |
|
22 |
|
nfrab1 |
|
23 |
|
imass1 |
|
24 |
13 23
|
syl |
|
25 |
|
xpimasn |
|
26 |
25
|
ad2antll |
|
27 |
24 26
|
sseqtrd |
|
28 |
27
|
sseld |
|
29 |
28
|
pm4.71rd |
|
30 |
|
elimasng |
|
31 |
30
|
elvd |
|
32 |
31
|
ad2antll |
|
33 |
32
|
anbi2d |
|
34 |
29 33
|
bitrd |
|
35 |
|
rabid |
|
36 |
34 35
|
bitr4di |
|
37 |
20 21 22 36
|
eqrd |
|
38 |
|
eqid |
|
39 |
38
|
mptpreima |
|
40 |
37 39
|
eqtr4di |
|
41 |
40
|
fveq2d |
|
42 |
|
nfcv |
|
43 |
|
nfrab1 |
|
44 |
|
txtop |
|
45 |
44
|
adantr |
|
46 |
17
|
clsss3 |
|
47 |
45 16 46
|
syl2anc |
|
48 |
47 15
|
sseqtrrd |
|
49 |
|
imass1 |
|
50 |
48 49
|
syl |
|
51 |
50 26
|
sseqtrd |
|
52 |
51
|
sseld |
|
53 |
52
|
pm4.71rd |
|
54 |
|
elimasng |
|
55 |
54
|
elvd |
|
56 |
55
|
ad2antll |
|
57 |
56
|
anbi2d |
|
58 |
53 57
|
bitrd |
|
59 |
|
rabid |
|
60 |
58 59
|
bitr4di |
|
61 |
20 42 43 60
|
eqrd |
|
62 |
38
|
mptpreima |
|
63 |
61 62
|
eqtr4di |
|
64 |
19 41 63
|
3sstr4d |
|