Step |
Hyp |
Ref |
Expression |
1 |
|
frpoins3xpg.1 |
|
2 |
|
frpoins3xpg.2 |
|
3 |
|
frpoins3xpg.3 |
|
4 |
|
frpoins3xpg.4 |
|
5 |
|
frpoins3xpg.5 |
|
6 |
|
elxp2 |
|
7 |
|
nfcv |
|
8 |
|
nfsbc1v |
|
9 |
7 8
|
nfralw |
|
10 |
|
nfsbc1v |
|
11 |
9 10
|
nfim |
|
12 |
|
nfv |
|
13 |
|
nfcv |
|
14 |
|
nfcv |
|
15 |
|
nfsbc1v |
|
16 |
14 15
|
nfsbcw |
|
17 |
13 16
|
nfralw |
|
18 |
|
nfcv |
|
19 |
|
nfsbc1v |
|
20 |
18 19
|
nfsbcw |
|
21 |
17 20
|
nfim |
|
22 |
2
|
sbcbidv |
|
23 |
22
|
cbvsbcvw |
|
24 |
3
|
cbvsbcvw |
|
25 |
24
|
sbcbii |
|
26 |
23 25
|
bitri |
|
27 |
26
|
ralbii |
|
28 |
|
impexp |
|
29 |
|
elin |
|
30 |
|
predss |
|
31 |
|
sseqin2 |
|
32 |
30 31
|
mpbi |
|
33 |
32
|
eleq2i |
|
34 |
29 33
|
bitr3i |
|
35 |
34
|
imbi1i |
|
36 |
28 35
|
bitr3i |
|
37 |
36
|
albii |
|
38 |
|
df-ral |
|
39 |
|
df-ral |
|
40 |
37 38 39
|
3bitr4ri |
|
41 |
|
nfv |
|
42 |
|
nfsbc1v |
|
43 |
41 42
|
nfim |
|
44 |
|
nfv |
|
45 |
|
nfcv |
|
46 |
|
nfsbc1v |
|
47 |
45 46
|
nfsbcw |
|
48 |
44 47
|
nfim |
|
49 |
|
nfv |
|
50 |
|
eleq1 |
|
51 |
|
sbcopeq1a |
|
52 |
50 51
|
imbi12d |
|
53 |
43 48 49 52
|
ralxpf |
|
54 |
|
r2al |
|
55 |
|
impexp |
|
56 |
|
opelxp |
|
57 |
56
|
imbi1i |
|
58 |
55 57
|
bitri |
|
59 |
|
elin |
|
60 |
32
|
eleq2i |
|
61 |
59 60
|
bitr3i |
|
62 |
61
|
imbi1i |
|
63 |
58 62
|
bitr3i |
|
64 |
63
|
2albii |
|
65 |
53 54 64
|
3bitri |
|
66 |
27 40 65
|
3bitri |
|
67 |
66 1
|
syl5bi |
|
68 |
|
predeq3 |
|
69 |
68
|
raleqdv |
|
70 |
|
sbcopeq1a |
|
71 |
69 70
|
imbi12d |
|
72 |
67 71
|
syl5ibrcom |
|
73 |
72
|
ex |
|
74 |
12 21 73
|
rexlimd |
|
75 |
11 74
|
rexlimi |
|
76 |
6 75
|
sylbi |
|
77 |
|
fveq2 |
|
78 |
|
fveq2 |
|
79 |
78
|
sbceq1d |
|
80 |
77 79
|
sbceqbid |
|
81 |
76 80
|
frpoins2g |
|
82 |
|
ralxpes |
|
83 |
81 82
|
sylib |
|
84 |
4 5
|
rspc2va |
|
85 |
83 84
|
sylan2 |
|
86 |
85
|
ancoms |
|