Step |
Hyp |
Ref |
Expression |
1 |
|
tocycval.1 |
|
2 |
|
tocycfv.d |
|
3 |
|
tocycfv.w |
|
4 |
|
tocycfv.1 |
|
5 |
|
cycpmfvlem.1 |
|
6 |
1 2 3 4
|
tocycfv |
|
7 |
6
|
fveq1d |
|
8 |
|
f1oi |
|
9 |
|
f1ofn |
|
10 |
8 9
|
mp1i |
|
11 |
|
1zzd |
|
12 |
|
cshwf |
|
13 |
3 11 12
|
syl2anc |
|
14 |
13
|
ffnd |
|
15 |
|
df-f1 |
|
16 |
4 15
|
sylib |
|
17 |
16
|
simprd |
|
18 |
17
|
funfnd |
|
19 |
|
df-rn |
|
20 |
19
|
fneq2i |
|
21 |
18 20
|
sylibr |
|
22 |
|
dfdm4 |
|
23 |
22
|
eqimss2i |
|
24 |
|
wrdfn |
|
25 |
3 24
|
syl |
|
26 |
25
|
fndmd |
|
27 |
23 26
|
sseqtrid |
|
28 |
|
fnco |
|
29 |
14 21 27 28
|
syl3anc |
|
30 |
|
disjdifr |
|
31 |
30
|
a1i |
|
32 |
|
fnfvelrn |
|
33 |
25 5 32
|
syl2anc |
|
34 |
|
fvun2 |
|
35 |
10 29 31 33 34
|
syl112anc |
|
36 |
7 35
|
eqtrd |
|