Step | Hyp | Ref
| Expression |
1 | | bren 6721 |
. . . . . . 7
|
2 | 1 | biimpi 119 |
. . . . . 6
|
3 | 2 | ad2antrr 485 |
. . . . 5
Omni
|
4 | | fveq1 5493 |
. . . . . . . . . 10
|
5 | 4 | eqeq1d 2179 |
. . . . . . . . 9
|
6 | 5 | rexbidv 2471 |
. . . . . . . 8
|
7 | 4 | eqeq1d 2179 |
. . . . . . . . 9
|
8 | 7 | ralbidv 2470 |
. . . . . . . 8
|
9 | 6, 8 | orbi12d 788 |
. . . . . . 7
|
10 | | isomnimap 7109 |
. . . . . . . . 9
Omni Omni
|
11 | 10 | ibi 175 |
. . . . . . . 8
Omni |
12 | 11 | ad3antlr 490 |
. . . . . . 7
Omni
|
13 | | simpr 109 |
. . . . . . . . . . 11
Omni
|
14 | | 2onn 6497 |
. . . . . . . . . . . . 13
|
15 | | relen 6718 |
. . . . . . . . . . . . . 14
|
16 | 15 | brrelex2i 4653 |
. . . . . . . . . . . . 13
|
17 | | elmapg 6635 |
. . . . . . . . . . . . 13
|
18 | 14, 16, 17 | sylancr 412 |
. . . . . . . . . . . 12
|
19 | 18 | ad2antrr 485 |
. . . . . . . . . . 11
Omni
|
20 | 13, 19 | mpbid 146 |
. . . . . . . . . 10
Omni
|
21 | 20 | adantr 274 |
. . . . . . . . 9
Omni
|
22 | | f1of 5440 |
. . . . . . . . . 10
|
23 | 22 | adantl 275 |
. . . . . . . . 9
Omni
|
24 | | fco 5361 |
. . . . . . . . 9
|
25 | 21, 23, 24 | syl2anc 409 |
. . . . . . . 8
Omni
|
26 | | simpllr 529 |
. . . . . . . . 9
Omni
Omni |
27 | | elmapg 6635 |
. . . . . . . . 9
Omni
|
28 | 14, 26, 27 | sylancr 412 |
. . . . . . . 8
Omni
|
29 | 25, 28 | mpbird 166 |
. . . . . . 7
Omni
|
30 | 9, 12, 29 | rspcdva 2839 |
. . . . . 6
Omni
|
31 | | f1ofn 5441 |
. . . . . . . . . . . 12
|
32 | 31 | ad2antlr 486 |
. . . . . . . . . . 11
Omni |
33 | | fvco2 5563 |
. . . . . . . . . . 11
|
34 | 32, 33 | sylancom 418 |
. . . . . . . . . 10
Omni |
35 | 34 | eqeq1d 2179 |
. . . . . . . . 9
Omni
|
36 | 23 | ffvelrnda 5628 |
. . . . . . . . . 10
Omni |
37 | | simpr 109 |
. . . . . . . . . . . 12
Omni |
38 | 37 | fveq2d 5498 |
. . . . . . . . . . 11
Omni |
39 | 38 | eqeq1d 2179 |
. . . . . . . . . 10
Omni |
40 | 36, 39 | rspcedv 2838 |
. . . . . . . . 9
Omni
|
41 | 35, 40 | sylbid 149 |
. . . . . . . 8
Omni
|
42 | 41 | rexlimdva 2587 |
. . . . . . 7
Omni
|
43 | 31 | ad3antlr 490 |
. . . . . . . . . . 11
Omni
|
44 | | f1ocnv 5453 |
. . . . . . . . . . . . . 14
|
45 | | f1of 5440 |
. . . . . . . . . . . . . 14
|
46 | 44, 45 | syl 14 |
. . . . . . . . . . . . 13
|
47 | 46 | ad3antlr 490 |
. . . . . . . . . . . 12
Omni
|
48 | | simpr 109 |
. . . . . . . . . . . 12
Omni
|
49 | 47, 48 | ffvelrnd 5629 |
. . . . . . . . . . 11
Omni
|
50 | | fvco2 5563 |
. . . . . . . . . . 11
|
51 | 43, 49, 50 | syl2anc 409 |
. . . . . . . . . 10
Omni
|
52 | | fveq2 5494 |
. . . . . . . . . . . 12
|
53 | 52 | eqeq1d 2179 |
. . . . . . . . . . 11
|
54 | | simplr 525 |
. . . . . . . . . . 11
Omni
|
55 | 53, 54, 49 | rspcdva 2839 |
. . . . . . . . . 10
Omni
|
56 | | simpllr 529 |
. . . . . . . . . . 11
Omni
|
57 | | f1ocnvfv2 5754 |
. . . . . . . . . . . 12
|
58 | 57 | fveq2d 5498 |
. . . . . . . . . . 11
|
59 | 56, 58 | sylancom 418 |
. . . . . . . . . 10
Omni
|
60 | 51, 55, 59 | 3eqtr3rd 2212 |
. . . . . . . . 9
Omni
|
61 | 60 | ralrimiva 2543 |
. . . . . . . 8
Omni
|
62 | 61 | ex 114 |
. . . . . . 7
Omni
|
63 | 42, 62 | orim12d 781 |
. . . . . 6
Omni
|
64 | 30, 63 | mpd 13 |
. . . . 5
Omni
|
65 | 3, 64 | exlimddv 1891 |
. . . 4
Omni
|
66 | 65 | ralrimiva 2543 |
. . 3
Omni
|
67 | | isomnimap 7109 |
. . . . 5
Omni |
68 | 16, 67 | syl 14 |
. . . 4
Omni |
69 | 68 | adantr 274 |
. . 3
Omni Omni
|
70 | 66, 69 | mpbird 166 |
. 2
Omni Omni |
71 | 70 | ex 114 |
1
Omni Omni |