Step | Hyp | Ref
| Expression |
1 | | flimcls.2 |
. . 3
|
2 | | topontop 20718 |
. . . . . . . . 9
TopOn
|
3 | 2 | 3ad2ant1 1082 |
. . . . . . . 8
TopOn
|
4 | | eqid 2622 |
. . . . . . . . 9
|
5 | 4 | neisspw 20911 |
. . . . . . . 8
|
6 | 3, 5 | syl 17 |
. . . . . . 7
TopOn
|
7 | | toponuni 20719 |
. . . . . . . . 9
TopOn
|
8 | 7 | 3ad2ant1 1082 |
. . . . . . . 8
TopOn
|
9 | 8 | pweqd 4163 |
. . . . . . 7
TopOn
|
10 | 6, 9 | sseqtr4d 3642 |
. . . . . 6
TopOn
|
11 | | toponmax 20730 |
. . . . . . . . . 10
TopOn
|
12 | | elpw2g 4827 |
. . . . . . . . . 10
|
13 | 11, 12 | syl 17 |
. . . . . . . . 9
TopOn
|
14 | 13 | biimpar 502 |
. . . . . . . 8
TopOn |
15 | 14 | 3adant3 1081 |
. . . . . . 7
TopOn
|
16 | 15 | snssd 4340 |
. . . . . 6
TopOn
|
17 | 10, 16 | unssd 3789 |
. . . . 5
TopOn
|
18 | | ssun2 3777 |
. . . . . 6
|
19 | 11 | 3ad2ant1 1082 |
. . . . . . . 8
TopOn
|
20 | | simp2 1062 |
. . . . . . . 8
TopOn
|
21 | 19, 20 | ssexd 4805 |
. . . . . . 7
TopOn
|
22 | | snnzg 4308 |
. . . . . . 7
|
23 | 21, 22 | syl 17 |
. . . . . 6
TopOn
|
24 | | ssn0 3976 |
. . . . . 6
|
25 | 18, 23, 24 | sylancr 695 |
. . . . 5
TopOn
|
26 | 20, 8 | sseqtrd 3641 |
. . . . . . . . . . 11
TopOn
|
27 | | simp3 1063 |
. . . . . . . . . . 11
TopOn
|
28 | 4 | neindisj 20921 |
. . . . . . . . . . . 12
|
29 | 28 | expr 643 |
. . . . . . . . . . 11
|
30 | 3, 26, 27, 29 | syl21anc 1325 |
. . . . . . . . . 10
TopOn
|
31 | 30 | imp 445 |
. . . . . . . . 9
TopOn
|
32 | | elsni 4194 |
. . . . . . . . . . 11
|
33 | 32 | ineq2d 3814 |
. . . . . . . . . 10
|
34 | 33 | neeq1d 2853 |
. . . . . . . . 9
|
35 | 31, 34 | syl5ibrcom 237 |
. . . . . . . 8
TopOn
|
36 | 35 | ralrimiv 2965 |
. . . . . . 7
TopOn
|
37 | 36 | ralrimiva 2966 |
. . . . . 6
TopOn
|
38 | | simp1 1061 |
. . . . . . . . 9
TopOn
TopOn |
39 | 4 | clsss3 20863 |
. . . . . . . . . . . . 13
|
40 | 3, 26, 39 | syl2anc 693 |
. . . . . . . . . . . 12
TopOn
|
41 | 40, 27 | sseldd 3604 |
. . . . . . . . . . 11
TopOn
|
42 | 41, 8 | eleqtrrd 2704 |
. . . . . . . . . 10
TopOn
|
43 | 42 | snssd 4340 |
. . . . . . . . 9
TopOn
|
44 | | snnzg 4308 |
. . . . . . . . . 10
|
45 | 44 | 3ad2ant3 1084 |
. . . . . . . . 9
TopOn
|
46 | | neifil 21684 |
. . . . . . . . 9
TopOn
|
47 | 38, 43, 45, 46 | syl3anc 1326 |
. . . . . . . 8
TopOn
|
48 | | filfbas 21652 |
. . . . . . . 8
|
49 | 47, 48 | syl 17 |
. . . . . . 7
TopOn
|
50 | | ne0i 3921 |
. . . . . . . . . . 11
|
51 | 50 | 3ad2ant3 1084 |
. . . . . . . . . 10
TopOn
|
52 | | cls0 20884 |
. . . . . . . . . . 11
|
53 | 3, 52 | syl 17 |
. . . . . . . . . 10
TopOn
|
54 | 51, 53 | neeqtrrd 2868 |
. . . . . . . . 9
TopOn
|
55 | | fveq2 6191 |
. . . . . . . . . 10
|
56 | 55 | necon3i 2826 |
. . . . . . . . 9
|
57 | 54, 56 | syl 17 |
. . . . . . . 8
TopOn
|
58 | | snfbas 21670 |
. . . . . . . 8
|
59 | 20, 57, 19, 58 | syl3anc 1326 |
. . . . . . 7
TopOn
|
60 | | fbunfip 21673 |
. . . . . . 7
|
61 | 49, 59, 60 | syl2anc 693 |
. . . . . 6
TopOn
|
62 | 37, 61 | mpbird 247 |
. . . . 5
TopOn
|
63 | | fsubbas 21671 |
. . . . . 6
|
64 | 19, 63 | syl 17 |
. . . . 5
TopOn
|
65 | 17, 25, 62, 64 | mpbir3and 1245 |
. . . 4
TopOn
|
66 | | fgcl 21682 |
. . . 4
|
67 | 65, 66 | syl 17 |
. . 3
TopOn
|
68 | 1, 67 | syl5eqel 2705 |
. 2
TopOn
|
69 | | fvex 6201 |
. . . . . 6
|
70 | | snex 4908 |
. . . . . 6
|
71 | 69, 70 | unex 6956 |
. . . . 5
|
72 | | ssfii 8325 |
. . . . 5
|
73 | 71, 72 | ax-mp 5 |
. . . 4
|
74 | | ssfg 21676 |
. . . . . 6
|
75 | 65, 74 | syl 17 |
. . . . 5
TopOn
|
76 | 75, 1 | syl6sseqr 3652 |
. . . 4
TopOn
|
77 | 73, 76 | syl5ss 3614 |
. . 3
TopOn
|
78 | | snssg 4327 |
. . . . 5
|
79 | 21, 78 | syl 17 |
. . . 4
TopOn
|
80 | 18, 79 | mpbiri 248 |
. . 3
TopOn
|
81 | 77, 80 | sseldd 3604 |
. 2
TopOn
|
82 | 77 | unssad 3790 |
. . 3
TopOn
|
83 | | elflim 21775 |
. . . 4
TopOn
|
84 | 38, 68, 83 | syl2anc 693 |
. . 3
TopOn
|
85 | 42, 82, 84 | mpbir2and 957 |
. 2
TopOn
|
86 | 68, 81, 85 | 3jca 1242 |
1
TopOn
|