Step |
Hyp |
Ref |
Expression |
1 |
|
ldilset.b |
|
2 |
|
ldilset.l |
|
3 |
|
ldilset.h |
|
4 |
|
ldilset.i |
|
5 |
|
elex |
|
6 |
|
fveq2 |
|
7 |
6 3
|
eqtr4di |
|
8 |
|
fveq2 |
|
9 |
8 4
|
eqtr4di |
|
10 |
|
fveq2 |
|
11 |
10 1
|
eqtr4di |
|
12 |
|
fveq2 |
|
13 |
12 2
|
eqtr4di |
|
14 |
13
|
breqd |
|
15 |
14
|
imbi1d |
|
16 |
11 15
|
raleqbidv |
|
17 |
9 16
|
rabeqbidv |
|
18 |
7 17
|
mpteq12dv |
|
19 |
|
df-ldil |
|
20 |
18 19 3
|
mptfvmpt |
|
21 |
5 20
|
syl |
|