Step |
Hyp |
Ref |
Expression |
1 |
|
mapdval.h |
|
2 |
|
mapdval.u |
|
3 |
|
mapdval.s |
|
4 |
|
mapdval.f |
|
5 |
|
mapdval.l |
|
6 |
|
mapdval.o |
|
7 |
|
mapdval.m |
|
8 |
1
|
mapdffval |
|
9 |
8
|
fveq1d |
|
10 |
7 9
|
syl5eq |
|
11 |
|
fveq2 |
|
12 |
11 2
|
eqtr4di |
|
13 |
12
|
fveq2d |
|
14 |
13 3
|
eqtr4di |
|
15 |
12
|
fveq2d |
|
16 |
15 4
|
eqtr4di |
|
17 |
|
fveq2 |
|
18 |
17 6
|
eqtr4di |
|
19 |
12
|
fveq2d |
|
20 |
19 5
|
eqtr4di |
|
21 |
20
|
fveq1d |
|
22 |
18 21
|
fveq12d |
|
23 |
18 22
|
fveq12d |
|
24 |
23 21
|
eqeq12d |
|
25 |
22
|
sseq1d |
|
26 |
24 25
|
anbi12d |
|
27 |
16 26
|
rabeqbidv |
|
28 |
14 27
|
mpteq12dv |
|
29 |
|
eqid |
|
30 |
28 29 3
|
mptfvmpt |
|
31 |
10 30
|
sylan9eq |
|