Step |
Hyp |
Ref |
Expression |
1 |
|
fuciso.q |
|
2 |
|
fuciso.b |
|
3 |
|
fuciso.n |
|
4 |
|
fuciso.f |
|
5 |
|
fuciso.g |
|
6 |
|
fucsect.s |
|
7 |
|
fucsect.t |
|
8 |
1
|
fucbas |
|
9 |
1 3
|
fuchom |
|
10 |
|
eqid |
|
11 |
|
eqid |
|
12 |
|
funcrcl |
|
13 |
4 12
|
syl |
|
14 |
13
|
simpld |
|
15 |
13
|
simprd |
|
16 |
1 14 15
|
fuccat |
|
17 |
8 9 10 11 6 16 4 5
|
issect |
|
18 |
|
ovex |
|
19 |
18
|
rgenw |
|
20 |
|
mpteqb |
|
21 |
19 20
|
mp1i |
|
22 |
|
eqid |
|
23 |
|
simprl |
|
24 |
|
simprr |
|
25 |
1 3 2 22 10 23 24
|
fucco |
|
26 |
|
eqid |
|
27 |
4
|
adantr |
|
28 |
1 11 26 27
|
fucid |
|
29 |
15
|
adantr |
|
30 |
|
eqid |
|
31 |
30 26
|
cidfn |
|
32 |
29 31
|
syl |
|
33 |
|
dffn2 |
|
34 |
32 33
|
sylib |
|
35 |
|
relfunc |
|
36 |
|
1st2ndbr |
|
37 |
35 4 36
|
sylancr |
|
38 |
2 30 37
|
funcf1 |
|
39 |
38
|
adantr |
|
40 |
|
fcompt |
|
41 |
34 39 40
|
syl2anc |
|
42 |
28 41
|
eqtrd |
|
43 |
25 42
|
eqeq12d |
|
44 |
|
eqid |
|
45 |
29
|
adantr |
|
46 |
39
|
ffvelrnda |
|
47 |
|
1st2ndbr |
|
48 |
35 5 47
|
sylancr |
|
49 |
2 30 48
|
funcf1 |
|
50 |
49
|
adantr |
|
51 |
50
|
ffvelrnda |
|
52 |
23
|
adantr |
|
53 |
3 52
|
nat1st2nd |
|
54 |
|
simpr |
|
55 |
3 53 2 44 54
|
natcl |
|
56 |
24
|
adantr |
|
57 |
3 56
|
nat1st2nd |
|
58 |
3 57 2 44 54
|
natcl |
|
59 |
30 44 22 26 7 45 46 51 55 58
|
issect2 |
|
60 |
59
|
ralbidva |
|
61 |
21 43 60
|
3bitr4d |
|
62 |
61
|
pm5.32da |
|
63 |
|
df-3an |
|
64 |
|
df-3an |
|
65 |
62 63 64
|
3bitr4g |
|
66 |
17 65
|
bitrd |
|