Step |
Hyp |
Ref |
Expression |
1 |
|
fnresi |
|
2 |
|
rnresi |
|
3 |
2
|
eqimssi |
|
4 |
|
df-f |
|
5 |
1 3 4
|
mpbir2an |
|
6 |
5
|
jctr |
|
7 |
|
recnprss |
|
8 |
|
dvid |
|
9 |
8
|
dmeqi |
|
10 |
|
1ex |
|
11 |
10
|
fconst |
|
12 |
11
|
fdmi |
|
13 |
9 12
|
eqtri |
|
14 |
7 13
|
sseqtrrdi |
|
15 |
|
ssid |
|
16 |
14 15
|
jctil |
|
17 |
|
dvres3 |
|
18 |
6 16 17
|
syl2anc |
|
19 |
7
|
resabs1d |
|
20 |
19
|
oveq2d |
|
21 |
8
|
reseq1i |
|
22 |
|
xpssres |
|
23 |
21 22
|
syl5eq |
|
24 |
7 23
|
syl |
|
25 |
18 20 24
|
3eqtr3d |
|