Step | Hyp | Ref
| Expression |
1 | | eleq1 2202 |
. . . . . . . . 9
|
2 | 1 | dcbid 823 |
. . . . . . . 8
DECID
DECID |
3 | | ctiunct.sdc |
. . . . . . . . 9
DECID |
4 | 3 | adantr 274 |
. . . . . . . 8
DECID |
5 | | ctiunct.j |
. . . . . . . . . . . 12
|
6 | 5 | adantr 274 |
. . . . . . . . . . 11
|
7 | | f1of 5367 |
. . . . . . . . . . 11
|
8 | 6, 7 | syl 14 |
. . . . . . . . . 10
|
9 | | simpr 109 |
. . . . . . . . . 10
|
10 | 8, 9 | ffvelrnd 5556 |
. . . . . . . . 9
|
11 | | xp1st 6063 |
. . . . . . . . 9
|
12 | 10, 11 | syl 14 |
. . . . . . . 8
|
13 | 2, 4, 12 | rspcdva 2794 |
. . . . . . 7
DECID |
14 | 13 | adantr 274 |
. . . . . 6
DECID |
15 | | eleq1 2202 |
. . . . . . . 8
|
16 | 15 | dcbid 823 |
. . . . . . 7
DECID
DECID |
17 | | ctiunct.f |
. . . . . . . . . . 11
|
18 | | fof 5345 |
. . . . . . . . . . 11
|
19 | 17, 18 | syl 14 |
. . . . . . . . . 10
|
20 | 19 | ad2antrr 479 |
. . . . . . . . 9
|
21 | | simpr 109 |
. . . . . . . . 9
|
22 | 20, 21 | ffvelrnd 5556 |
. . . . . . . 8
|
23 | | ctiunct.tdc |
. . . . . . . . . 10
DECID |
24 | 23 | ralrimiva 2505 |
. . . . . . . . 9
DECID |
25 | 24 | ad2antrr 479 |
. . . . . . . 8
DECID |
26 | | nfcv 2281 |
. . . . . . . . . 10
|
27 | | nfcsb1v 3035 |
. . . . . . . . . . . 12
|
28 | 27 | nfcri 2275 |
. . . . . . . . . . 11
|
29 | 28 | nfdc 1637 |
. . . . . . . . . 10
DECID |
30 | 26, 29 | nfralya 2473 |
. . . . . . . . 9
DECID |
31 | | csbeq1a 3012 |
. . . . . . . . . . . 12
|
32 | 31 | eleq2d 2209 |
. . . . . . . . . . 11
|
33 | 32 | dcbid 823 |
. . . . . . . . . 10
DECID
DECID |
34 | 33 | ralbidv 2437 |
. . . . . . . . 9
DECID
DECID
|
35 | 30, 34 | rspc 2783 |
. . . . . . . 8
DECID
DECID |
36 | 22, 25, 35 | sylc 62 |
. . . . . . 7
DECID |
37 | 10 | adantr 274 |
. . . . . . . 8
|
38 | | xp2nd 6064 |
. . . . . . . 8
|
39 | 37, 38 | syl 14 |
. . . . . . 7
|
40 | 16, 36, 39 | rspcdva 2794 |
. . . . . 6
DECID |
41 | | dcan 918 |
. . . . . 6
DECID DECID
DECID |
42 | 14, 40, 41 | sylc 62 |
. . . . 5
DECID |
43 | | simpr 109 |
. . . . . . . 8
|
44 | 43 | intnanrd 917 |
. . . . . . 7
|
45 | 44 | olcd 723 |
. . . . . 6
|
46 | | df-dc 820 |
. . . . . 6
DECID
|
47 | 45, 46 | sylibr 133 |
. . . . 5
DECID |
48 | | exmiddc 821 |
. . . . . 6
DECID |
49 | 13, 48 | syl 14 |
. . . . 5
|
50 | 42, 47, 49 | mpjaodan 787 |
. . . 4
DECID |
51 | | ibar 299 |
. . . . . . 7
|
52 | 51 | adantl 275 |
. . . . . 6
|
53 | | 2fveq3 5426 |
. . . . . . . . 9
|
54 | 53 | eleq1d 2208 |
. . . . . . . 8
|
55 | | 2fveq3 5426 |
. . . . . . . . 9
|
56 | 53 | fveq2d 5425 |
. . . . . . . . . 10
|
57 | 56 | csbeq1d 3010 |
. . . . . . . . 9
|
58 | 55, 57 | eleq12d 2210 |
. . . . . . . 8
|
59 | 54, 58 | anbi12d 464 |
. . . . . . 7
|
60 | | ctiunct.u |
. . . . . . 7
|
61 | 59, 60 | elrab2 2843 |
. . . . . 6
|
62 | 52, 61 | syl6rbbr 198 |
. . . . 5
|
63 | 62 | dcbid 823 |
. . . 4
DECID
DECID |
64 | 50, 63 | mpbird 166 |
. . 3
DECID
|
65 | 64 | ralrimiva 2505 |
. 2
DECID |
66 | | eleq1 2202 |
. . . 4
|
67 | 66 | dcbid 823 |
. . 3
DECID
DECID
|
68 | 67 | cbvralv 2654 |
. 2
DECID
DECID
|
69 | 65, 68 | sylib 121 |
1
DECID |