Step |
Hyp |
Ref |
Expression |
1 |
|
tendoset.l |
|
2 |
|
tendoset.h |
|
3 |
|
elex |
|
4 |
|
fveq2 |
|
5 |
4 2
|
eqtr4di |
|
6 |
|
fveq2 |
|
7 |
6
|
fveq1d |
|
8 |
7 7
|
feq23d |
|
9 |
7
|
raleqdv |
|
10 |
7 9
|
raleqbidv |
|
11 |
|
fveq2 |
|
12 |
11
|
fveq1d |
|
13 |
12
|
fveq1d |
|
14 |
|
fveq2 |
|
15 |
14 1
|
eqtr4di |
|
16 |
12
|
fveq1d |
|
17 |
13 15 16
|
breq123d |
|
18 |
7 17
|
raleqbidv |
|
19 |
8 10 18
|
3anbi123d |
|
20 |
19
|
abbidv |
|
21 |
5 20
|
mpteq12dv |
|
22 |
|
df-tendo |
|
23 |
21 22 2
|
mptfvmpt |
|
24 |
3 23
|
syl |
|