Step |
Hyp |
Ref |
Expression |
1 |
|
axinfndlem1 |
|
2 |
1
|
ax-gen |
|
3 |
|
nfnae |
|
4 |
|
nfnae |
|
5 |
3 4
|
nfan |
|
6 |
|
nfnae |
|
7 |
|
nfnae |
|
8 |
6 7
|
nfan |
|
9 |
|
nfcvd |
|
10 |
|
nfcvf |
|
11 |
10
|
adantl |
|
12 |
9 11
|
nfeld |
|
13 |
8 12
|
nfald |
|
14 |
|
nfcvf |
|
15 |
14
|
adantr |
|
16 |
9 15
|
nfeld |
|
17 |
|
nfnae |
|
18 |
|
nfnae |
|
19 |
17 18
|
nfan |
|
20 |
|
nfnae |
|
21 |
|
nfnae |
|
22 |
20 21
|
nfan |
|
23 |
11 15
|
nfeld |
|
24 |
12 23
|
nfand |
|
25 |
22 24
|
nfexd |
|
26 |
16 25
|
nfimd |
|
27 |
19 26
|
nfald |
|
28 |
16 27
|
nfand |
|
29 |
8 28
|
nfexd |
|
30 |
13 29
|
nfimd |
|
31 |
|
nfcvd |
|
32 |
|
nfcvf2 |
|
33 |
32
|
adantr |
|
34 |
31 33
|
nfeqd |
|
35 |
8 34
|
nfan1 |
|
36 |
|
simpr |
|
37 |
36
|
eleq1d |
|
38 |
35 37
|
albid |
|
39 |
36
|
eleq1d |
|
40 |
|
nfcvd |
|
41 |
|
nfcvf2 |
|
42 |
41
|
adantl |
|
43 |
40 42
|
nfeqd |
|
44 |
22 43
|
nfan1 |
|
45 |
37
|
anbi1d |
|
46 |
44 45
|
exbid |
|
47 |
39 46
|
imbi12d |
|
48 |
47
|
ex |
|
49 |
5 26 48
|
cbvald |
|
50 |
49
|
adantr |
|
51 |
39 50
|
anbi12d |
|
52 |
35 51
|
exbid |
|
53 |
38 52
|
imbi12d |
|
54 |
53
|
ex |
|
55 |
5 30 54
|
cbvald |
|
56 |
2 55
|
mpbii |
|
57 |
56
|
19.21bi |
|
58 |
57
|
ex |
|
59 |
|
nd1 |
|
60 |
59
|
aecoms |
|
61 |
60
|
pm2.21d |
|
62 |
|
nd3 |
|
63 |
62
|
pm2.21d |
|
64 |
58 61 63
|
pm2.61ii |
|
65 |
64
|
19.35ri |
|