Step | Hyp | Ref
| Expression |
1 | | ssrab2 3687 |
. . . . . . . . . 10
|
2 | | nnuz 11723 |
. . . . . . . . . 10
|
3 | 1, 2 | sseqtri 3637 |
. . . . . . . . 9
|
4 | | rabn0 3958 |
. . . . . . . . . 10
|
5 | 4 | biimpri 218 |
. . . . . . . . 9
|
6 | | infssuzcl 11772 |
. . . . . . . . 9
inf
|
7 | 3, 5, 6 | sylancr 695 |
. . . . . . . 8
inf
|
8 | | nfrab1 3122 |
. . . . . . . . . 10
|
9 | | nfcv 2764 |
. . . . . . . . . 10
|
10 | | nfcv 2764 |
. . . . . . . . . 10
|
11 | 8, 9, 10 | nfinf 8388 |
. . . . . . . . 9
inf
|
12 | | nfcv 2764 |
. . . . . . . . 9
|
13 | 11 | nfcsb1 3548 |
. . . . . . . . . 10
inf |
14 | 13 | nfcri 2758 |
. . . . . . . . 9
inf
|
15 | | csbeq1a 3542 |
. . . . . . . . . 10
inf inf |
16 | 15 | eleq2d 2687 |
. . . . . . . . 9
inf
inf |
17 | 11, 12, 14, 16 | elrabf 3360 |
. . . . . . . 8
inf
inf
inf
|
18 | 7, 17 | sylib 208 |
. . . . . . 7
inf
inf
|
19 | 18 | simpld 475 |
. . . . . 6
inf
|
20 | 18 | simprd 479 |
. . . . . . 7
inf |
21 | 19 | nnred 11035 |
. . . . . . . . 9
inf
|
22 | 21 | ltnrd 10171 |
. . . . . . . 8
inf
inf
|
23 | | eliun 4524 |
. . . . . . . . 9
..^inf
..^inf
|
24 | 21 | ad2antrr 762 |
. . . . . . . . . . . 12
..^inf
inf
|
25 | | elfzouz 12474 |
. . . . . . . . . . . . . . 15
..^inf
|
26 | 25, 2 | syl6eleqr 2712 |
. . . . . . . . . . . . . 14
..^inf
|
27 | 26 | ad2antlr 763 |
. . . . . . . . . . . . 13
..^inf
|
28 | 27 | nnred 11035 |
. . . . . . . . . . . 12
..^inf
|
29 | | simpr 477 |
. . . . . . . . . . . . . 14
..^inf
|
30 | | iundisj.1 |
. . . . . . . . . . . . . . . 16
|
31 | 30 | eleq2d 2687 |
. . . . . . . . . . . . . . 15
|
32 | 31 | elrab 3363 |
. . . . . . . . . . . . . 14
|
33 | 27, 29, 32 | sylanbrc 698 |
. . . . . . . . . . . . 13
..^inf
|
34 | | infssuzle 11771 |
. . . . . . . . . . . . 13
inf
|
35 | 3, 33, 34 | sylancr 695 |
. . . . . . . . . . . 12
..^inf
inf
|
36 | | elfzolt2 12479 |
. . . . . . . . . . . . 13
..^inf
inf |
37 | 36 | ad2antlr 763 |
. . . . . . . . . . . 12
..^inf
inf
|
38 | 24, 28, 24, 35, 37 | lelttrd 10195 |
. . . . . . . . . . 11
..^inf
inf
inf |
39 | 38 | ex 450 |
. . . . . . . . . 10
..^inf
inf
inf |
40 | 39 | rexlimdva 3031 |
. . . . . . . . 9
..^inf inf
inf |
41 | 23, 40 | syl5bi 232 |
. . . . . . . 8
..^inf
inf
inf |
42 | 22, 41 | mtod 189 |
. . . . . . 7
..^inf |
43 | 20, 42 | eldifd 3585 |
. . . . . 6
inf
..^inf
|
44 | | csbeq1 3536 |
. . . . . . . . 9
inf inf |
45 | | oveq2 6658 |
. . . . . . . . . 10
inf ..^ ..^inf
|
46 | 45 | iuneq1d 4545 |
. . . . . . . . 9
inf ..^ ..^inf
|
47 | 44, 46 | difeq12d 3729 |
. . . . . . . 8
inf
..^ inf
..^inf
|
48 | 47 | eleq2d 2687 |
. . . . . . 7
inf ..^
inf
..^inf
|
49 | 48 | rspcev 3309 |
. . . . . 6
inf inf
..^inf
..^ |
50 | 19, 43, 49 | syl2anc 693 |
. . . . 5
..^ |
51 | | nfv 1843 |
. . . . . 6
..^ |
52 | | nfcsb1v 3549 |
. . . . . . . 8
|
53 | | nfcv 2764 |
. . . . . . . 8
..^ |
54 | 52, 53 | nfdif 3731 |
. . . . . . 7
..^ |
55 | 54 | nfcri 2758 |
. . . . . 6
..^ |
56 | | csbeq1a 3542 |
. . . . . . . 8
|
57 | | oveq2 6658 |
. . . . . . . . 9
..^ ..^ |
58 | 57 | iuneq1d 4545 |
. . . . . . . 8
..^ ..^ |
59 | 56, 58 | difeq12d 3729 |
. . . . . . 7
..^
..^ |
60 | 59 | eleq2d 2687 |
. . . . . 6
..^
..^ |
61 | 51, 55, 60 | cbvrex 3168 |
. . . . 5
..^
..^ |
62 | 50, 61 | sylibr 224 |
. . . 4
..^ |
63 | | eldifi 3732 |
. . . . 5
..^
|
64 | 63 | reximi 3011 |
. . . 4
..^
|
65 | 62, 64 | impbii 199 |
. . 3
..^ |
66 | | eliun 4524 |
. . 3
|
67 | | eliun 4524 |
. . 3
..^
..^ |
68 | 65, 66, 67 | 3bitr4i 292 |
. 2
..^ |
69 | 68 | eqriv 2619 |
1
..^ |