Step |
Hyp |
Ref |
Expression |
1 |
|
imaco |
|
2 |
1
|
a1i |
|
3 |
|
fveq2 |
|
4 |
3
|
imaeq2d |
|
5 |
|
2fveq3 |
|
6 |
4 5
|
eqeq12d |
|
7 |
6
|
rspccv |
|
8 |
7
|
adantl |
|
9 |
8
|
ad2antlr |
|
10 |
9
|
imp |
|
11 |
10
|
imaeq2d |
|
12 |
|
simplrr |
|
13 |
|
f1of |
|
14 |
|
ffvelrn |
|
15 |
14
|
ex |
|
16 |
13 15
|
syl |
|
17 |
16
|
adantr |
|
18 |
17
|
ad2antlr |
|
19 |
18
|
imp |
|
20 |
|
fveq2 |
|
21 |
20
|
imaeq2d |
|
22 |
|
2fveq3 |
|
23 |
21 22
|
eqeq12d |
|
24 |
23
|
rspccv |
|
25 |
12 19 24
|
sylc |
|
26 |
11 25
|
eqtrd |
|
27 |
|
f1ofn |
|
28 |
27
|
adantr |
|
29 |
28
|
ad2antlr |
|
30 |
|
fvco2 |
|
31 |
29 30
|
sylan |
|
32 |
31
|
eqcomd |
|
33 |
32
|
fveq2d |
|
34 |
2 26 33
|
3eqtrd |
|
35 |
34
|
ralrimiva |
|