Step |
Hyp |
Ref |
Expression |
1 |
|
coof.f |
|
2 |
|
coof.g |
|
3 |
|
coof.h |
|
4 |
|
coof.a |
|
5 |
|
coof.1 |
|
6 |
|
coof.2 |
|
7 |
1
|
ffvelcdmda |
|
8 |
2
|
ffvelcdmda |
|
9 |
6
|
ralrimivva |
|
10 |
9
|
adantr |
|
11 |
|
fvoveq1 |
|
12 |
|
fveq2 |
|
13 |
12
|
oveq1d |
|
14 |
11 13
|
eqeq12d |
|
15 |
|
oveq2 |
|
16 |
15
|
fveq2d |
|
17 |
|
fveq2 |
|
18 |
17
|
oveq2d |
|
19 |
16 18
|
eqeq12d |
|
20 |
14 19
|
rspc2va |
|
21 |
7 8 10 20
|
syl21anc |
|
22 |
21
|
mpteq2dva |
|
23 |
1
|
ffnd |
|
24 |
2
|
ffnd |
|
25 |
|
inidm |
|
26 |
|
eqidd |
|
27 |
|
eqidd |
|
28 |
23 24 4 4 25 26 27
|
offval |
|
29 |
28
|
coeq2d |
|
30 |
|
dffn3 |
|
31 |
3 30
|
sylib |
|
32 |
7 8
|
jca |
|
33 |
5
|
caovclg |
|
34 |
32 33
|
syldan |
|
35 |
31 34
|
cofmpt |
|
36 |
29 35
|
eqtrd |
|
37 |
|
fnfco |
|
38 |
3 1 37
|
syl2anc |
|
39 |
|
fnfco |
|
40 |
3 2 39
|
syl2anc |
|
41 |
|
fvco2 |
|
42 |
23 41
|
sylan |
|
43 |
|
fvco2 |
|
44 |
24 43
|
sylan |
|
45 |
38 40 4 4 25 42 44
|
offval |
|
46 |
22 36 45
|
3eqtr4d |
|