| Step |
Hyp |
Ref |
Expression |
| 1 |
|
fmptunsnop.1 |
|
| 2 |
|
fmptunsnop.2 |
|
| 3 |
|
fmptunsnop.3 |
|
| 4 |
|
mptun |
|
| 5 |
|
difsnid |
|
| 6 |
2 5
|
syl |
|
| 7 |
6
|
mpteq1d |
|
| 8 |
|
eldifsni |
|
| 9 |
8
|
adantl |
|
| 10 |
9
|
neneqd |
|
| 11 |
10
|
iffalsed |
|
| 12 |
11
|
mpteq2dva |
|
| 13 |
|
dffn3 |
|
| 14 |
1 13
|
sylib |
|
| 15 |
|
difssd |
|
| 16 |
14 15
|
feqresmpt |
|
| 17 |
12 16
|
eqtr4d |
|
| 18 |
|
iftrue |
|
| 19 |
18
|
adantl |
|
| 20 |
19 2 3
|
fmptsnd |
|
| 21 |
20
|
eqcomd |
|
| 22 |
17 21
|
uneq12d |
|
| 23 |
4 7 22
|
3eqtr3a |
|