Step | Hyp | Ref
| Expression |
1 | | bren 6721 |
. . . . . . 7
|
2 | 1 | biimpi 119 |
. . . . . 6
|
3 | 2 | ad2antrr 485 |
. . . . 5
WOmni
|
4 | | fveq1 5493 |
. . . . . . . . . 10
|
5 | 4 | eqeq1d 2179 |
. . . . . . . . 9
|
6 | 5 | ralbidv 2470 |
. . . . . . . 8
|
7 | 6 | dcbid 833 |
. . . . . . 7
DECID
DECID |
8 | | iswomnimap 7138 |
. . . . . . . . 9
WOmni WOmni DECID
|
9 | 8 | ibi 175 |
. . . . . . . 8
WOmni DECID
|
10 | 9 | ad3antlr 490 |
. . . . . . 7
WOmni
DECID
|
11 | | simpr 109 |
. . . . . . . . . . 11
WOmni
|
12 | | 2onn 6497 |
. . . . . . . . . . . . 13
|
13 | | relen 6718 |
. . . . . . . . . . . . . 14
|
14 | 13 | brrelex2i 4653 |
. . . . . . . . . . . . 13
|
15 | | elmapg 6635 |
. . . . . . . . . . . . 13
|
16 | 12, 14, 15 | sylancr 412 |
. . . . . . . . . . . 12
|
17 | 16 | ad2antrr 485 |
. . . . . . . . . . 11
WOmni
|
18 | 11, 17 | mpbid 146 |
. . . . . . . . . 10
WOmni
|
19 | 18 | adantr 274 |
. . . . . . . . 9
WOmni
|
20 | | f1of 5440 |
. . . . . . . . . 10
|
21 | 20 | adantl 275 |
. . . . . . . . 9
WOmni
|
22 | | fco 5361 |
. . . . . . . . 9
|
23 | 19, 21, 22 | syl2anc 409 |
. . . . . . . 8
WOmni
|
24 | | simpllr 529 |
. . . . . . . . 9
WOmni
WOmni |
25 | | elmapg 6635 |
. . . . . . . . 9
WOmni
|
26 | 12, 24, 25 | sylancr 412 |
. . . . . . . 8
WOmni
|
27 | 23, 26 | mpbird 166 |
. . . . . . 7
WOmni
|
28 | 7, 10, 27 | rspcdva 2839 |
. . . . . 6
WOmni
DECID |
29 | | f1ofn 5441 |
. . . . . . . . . . . 12
|
30 | 29 | ad3antlr 490 |
. . . . . . . . . . 11
WOmni
|
31 | | f1ocnv 5453 |
. . . . . . . . . . . . . 14
|
32 | | f1of 5440 |
. . . . . . . . . . . . . 14
|
33 | 31, 32 | syl 14 |
. . . . . . . . . . . . 13
|
34 | 33 | ad3antlr 490 |
. . . . . . . . . . . 12
WOmni
|
35 | | simpr 109 |
. . . . . . . . . . . 12
WOmni
|
36 | 34, 35 | ffvelrnd 5629 |
. . . . . . . . . . 11
WOmni
|
37 | | fvco2 5563 |
. . . . . . . . . . 11
|
38 | 30, 36, 37 | syl2anc 409 |
. . . . . . . . . 10
WOmni
|
39 | | fveqeq2 5503 |
. . . . . . . . . . 11
|
40 | | simplr 525 |
. . . . . . . . . . 11
WOmni
|
41 | 39, 40, 36 | rspcdva 2839 |
. . . . . . . . . 10
WOmni
|
42 | | f1ocnvfv2 5754 |
. . . . . . . . . . . 12
|
43 | 42 | fveq2d 5498 |
. . . . . . . . . . 11
|
44 | 43 | ad4ant24 513 |
. . . . . . . . . 10
WOmni
|
45 | 38, 41, 44 | 3eqtr3rd 2212 |
. . . . . . . . 9
WOmni
|
46 | 45 | ralrimiva 2543 |
. . . . . . . 8
WOmni
|
47 | 29 | ad3antlr 490 |
. . . . . . . . . . 11
WOmni
|
48 | | simpr 109 |
. . . . . . . . . . 11
WOmni
|
49 | | fvco2 5563 |
. . . . . . . . . . 11
|
50 | 47, 48, 49 | syl2anc 409 |
. . . . . . . . . 10
WOmni
|
51 | | fveqeq2 5503 |
. . . . . . . . . . 11
|
52 | | simplr 525 |
. . . . . . . . . . 11
WOmni
|
53 | 21 | ffvelrnda 5628 |
. . . . . . . . . . . 12
WOmni |
54 | 53 | adantlr 474 |
. . . . . . . . . . 11
WOmni
|
55 | 51, 52, 54 | rspcdva 2839 |
. . . . . . . . . 10
WOmni
|
56 | 50, 55 | eqtrd 2203 |
. . . . . . . . 9
WOmni
|
57 | 56 | ralrimiva 2543 |
. . . . . . . 8
WOmni
|
58 | 46, 57 | impbida 591 |
. . . . . . 7
WOmni
|
59 | 58 | dcbid 833 |
. . . . . 6
WOmni
DECID
DECID |
60 | 28, 59 | mpbid 146 |
. . . . 5
WOmni
DECID |
61 | 3, 60 | exlimddv 1891 |
. . . 4
WOmni
DECID
|
62 | 61 | ralrimiva 2543 |
. . 3
WOmni DECID
|
63 | | iswomnimap 7138 |
. . . . 5
WOmni DECID
|
64 | 14, 63 | syl 14 |
. . . 4
WOmni DECID
|
65 | 64 | adantr 274 |
. . 3
WOmni WOmni
DECID
|
66 | 62, 65 | mpbird 166 |
. 2
WOmni WOmni |
67 | 66 | ex 114 |
1
WOmni WOmni |