Step |
Hyp |
Ref |
Expression |
1 |
|
mrcfval.f |
|
2 |
|
fvssunirn |
|
3 |
2
|
sseli |
|
4 |
|
unieq |
|
5 |
4
|
pweqd |
|
6 |
|
rabeq |
|
7 |
6
|
inteqd |
|
8 |
5 7
|
mpteq12dv |
|
9 |
|
df-mrc |
|
10 |
|
mreunirn |
|
11 |
|
mrcflem |
|
12 |
10 11
|
sylbi |
|
13 |
|
fssxp |
|
14 |
12 13
|
syl |
|
15 |
|
vuniex |
|
16 |
15
|
pwex |
|
17 |
|
vex |
|
18 |
16 17
|
xpex |
|
19 |
|
ssexg |
|
20 |
14 18 19
|
sylancl |
|
21 |
8 9 20
|
fvmpt3 |
|
22 |
3 21
|
syl |
|
23 |
|
mreuni |
|
24 |
23
|
pweqd |
|
25 |
24
|
mpteq1d |
|
26 |
22 25
|
eqtrd |
|
27 |
1 26
|
syl5eq |
|