Step |
Hyp |
Ref |
Expression |
1 |
|
frrlem11.1 |
|
2 |
|
frrlem11.2 |
|
3 |
|
frrlem11.3 |
|
4 |
|
frrlem11.4 |
|
5 |
|
frrlem12.5 |
|
6 |
|
frrlem12.6 |
|
7 |
|
frrlem12.7 |
|
8 |
|
elun |
|
9 |
|
velsn |
|
10 |
9
|
orbi2i |
|
11 |
8 10
|
bitri |
|
12 |
|
elinel2 |
|
13 |
1
|
frrlem1 |
|
14 |
|
breq1 |
|
15 |
|
breq1 |
|
16 |
14 15
|
anbi12d |
|
17 |
16
|
imbi1d |
|
18 |
17
|
imbi2d |
|
19 |
18 3
|
chvarvv |
|
20 |
13 2 19
|
frrlem10 |
|
21 |
12 20
|
sylan2 |
|
22 |
21
|
adantlr |
|
23 |
4
|
fveq1i |
|
24 |
1 2 3
|
frrlem9 |
|
25 |
|
funres |
|
26 |
24 25
|
syl |
|
27 |
|
dmres |
|
28 |
|
df-fn |
|
29 |
26 27 28
|
sylanblrc |
|
30 |
29
|
adantr |
|
31 |
30
|
adantr |
|
32 |
|
vex |
|
33 |
|
ovex |
|
34 |
32 33
|
fnsn |
|
35 |
34
|
a1i |
|
36 |
|
eldifn |
|
37 |
|
elinel2 |
|
38 |
36 37
|
nsyl |
|
39 |
|
disjsn |
|
40 |
38 39
|
sylibr |
|
41 |
40
|
adantl |
|
42 |
41
|
adantr |
|
43 |
|
simpr |
|
44 |
|
fvun1 |
|
45 |
31 35 42 43 44
|
syl112anc |
|
46 |
23 45
|
syl5eq |
|
47 |
|
elinel1 |
|
48 |
47
|
adantl |
|
49 |
48
|
fvresd |
|
50 |
46 49
|
eqtrd |
|
51 |
1 2 3 4
|
frrlem11 |
|
52 |
|
fnfun |
|
53 |
51 52
|
syl |
|
54 |
53
|
adantr |
|
55 |
|
ssun1 |
|
56 |
55 4
|
sseqtrri |
|
57 |
56
|
a1i |
|
58 |
|
eldifi |
|
59 |
58 7
|
sylan2 |
|
60 |
|
rspa |
|
61 |
59 47 60
|
syl2an |
|
62 |
1 2
|
frrlem8 |
|
63 |
12 62
|
syl |
|
64 |
63
|
adantl |
|
65 |
61 64
|
ssind |
|
66 |
65 27
|
sseqtrrdi |
|
67 |
|
fun2ssres |
|
68 |
54 57 66 67
|
syl3anc |
|
69 |
61
|
resabs1d |
|
70 |
68 69
|
eqtrd |
|
71 |
70
|
oveq2d |
|
72 |
22 50 71
|
3eqtr4d |
|
73 |
72
|
ex |
|
74 |
32 33
|
fvsn |
|
75 |
4
|
fveq1i |
|
76 |
34
|
a1i |
|
77 |
|
vsnid |
|
78 |
77
|
a1i |
|
79 |
|
fvun2 |
|
80 |
30 76 41 78 79
|
syl112anc |
|
81 |
75 80
|
syl5eq |
|
82 |
4
|
reseq1i |
|
83 |
|
resundir |
|
84 |
82 83
|
eqtri |
|
85 |
58 6
|
sylan2 |
|
86 |
85
|
resabs1d |
|
87 |
|
predfrirr |
|
88 |
5 87
|
syl |
|
89 |
88
|
adantr |
|
90 |
|
ressnop0 |
|
91 |
89 90
|
syl |
|
92 |
86 91
|
uneq12d |
|
93 |
|
un0 |
|
94 |
92 93
|
eqtrdi |
|
95 |
84 94
|
syl5eq |
|
96 |
95
|
oveq2d |
|
97 |
74 81 96
|
3eqtr4a |
|
98 |
|
fveq2 |
|
99 |
|
id |
|
100 |
|
predeq3 |
|
101 |
100
|
reseq2d |
|
102 |
99 101
|
oveq12d |
|
103 |
98 102
|
eqeq12d |
|
104 |
97 103
|
syl5ibrcom |
|
105 |
73 104
|
jaod |
|
106 |
11 105
|
syl5bi |
|
107 |
106
|
3impia |
|