Step |
Hyp |
Ref |
Expression |
1 |
|
efmnd.1 |
|
2 |
|
efmnd.2 |
|
3 |
|
efmnd.3 |
|
4 |
|
efmnd.4 |
|
5 |
|
elex |
|
6 |
|
ovexd |
|
7 |
|
id |
|
8 |
|
id |
|
9 |
8 8
|
oveq12d |
|
10 |
9 2
|
eqtr4di |
|
11 |
7 10
|
sylan9eqr |
|
12 |
11
|
opeq2d |
|
13 |
|
eqidd |
|
14 |
11 11 13
|
mpoeq123dv |
|
15 |
14 3
|
eqtr4di |
|
16 |
15
|
opeq2d |
|
17 |
|
simpl |
|
18 |
|
pweq |
|
19 |
18
|
sneqd |
|
20 |
19
|
adantr |
|
21 |
17 20
|
xpeq12d |
|
22 |
21
|
fveq2d |
|
23 |
22 4
|
eqtr4di |
|
24 |
23
|
opeq2d |
|
25 |
12 16 24
|
tpeq123d |
|
26 |
6 25
|
csbied |
|
27 |
|
df-efmnd |
|
28 |
|
tpex |
|
29 |
26 27 28
|
fvmpt |
|
30 |
5 29
|
syl |
|
31 |
1 30
|
eqtrid |
|