Step |
Hyp |
Ref |
Expression |
1 |
|
1stfval.t |
|
2 |
|
1stfval.b |
|
3 |
|
1stfval.h |
|
4 |
|
1stfval.c |
|
5 |
|
1stfval.d |
|
6 |
|
2ndfval.p |
|
7 |
|
fvex |
|
8 |
|
fvex |
|
9 |
7 8
|
xpex |
|
10 |
9
|
a1i |
|
11 |
|
simpl |
|
12 |
11
|
fveq2d |
|
13 |
|
simpr |
|
14 |
13
|
fveq2d |
|
15 |
12 14
|
xpeq12d |
|
16 |
|
eqid |
|
17 |
|
eqid |
|
18 |
1 16 17
|
xpcbas |
|
19 |
18 2
|
eqtr4i |
|
20 |
15 19
|
eqtrdi |
|
21 |
|
simpr |
|
22 |
21
|
reseq2d |
|
23 |
|
simpll |
|
24 |
|
simplr |
|
25 |
23 24
|
oveq12d |
|
26 |
25 1
|
eqtr4di |
|
27 |
26
|
fveq2d |
|
28 |
27 3
|
eqtr4di |
|
29 |
28
|
oveqd |
|
30 |
29
|
reseq2d |
|
31 |
21 21 30
|
mpoeq123dv |
|
32 |
22 31
|
opeq12d |
|
33 |
10 20 32
|
csbied2 |
|
34 |
|
df-2ndf |
|
35 |
|
opex |
|
36 |
33 34 35
|
ovmpoa |
|
37 |
4 5 36
|
syl2anc |
|
38 |
6 37
|
syl5eq |
|