Step |
Hyp |
Ref |
Expression |
1 |
|
dmressnsn |
|
2 |
|
df-fn |
|
3 |
2
|
simplbi2com |
|
4 |
1 3
|
syl |
|
5 |
4
|
imp |
|
6 |
5
|
adantr |
|
7 |
|
fnsnfv |
|
8 |
7
|
adantl |
|
9 |
|
df-ima |
|
10 |
8 9
|
eqtrdi |
|
11 |
10
|
reseq2d |
|
12 |
11 10
|
fneq12d |
|
13 |
6 12
|
mpbid |
|
14 |
|
fnfun |
|
15 |
|
funres |
|
16 |
15
|
funfnd |
|
17 |
14 16
|
syl |
|
18 |
17
|
adantr |
|
19 |
18
|
adantl |
|
20 |
|
fnresfnco |
|
21 |
13 19 20
|
syl2anc |
|
22 |
|
fnfun |
|
23 |
21 22
|
syl |
|
24 |
|
resco |
|
25 |
24
|
funeqi |
|
26 |
23 25
|
sylibr |
|