Step |
Hyp |
Ref |
Expression |
1 |
|
mclsval.d |
|
2 |
|
mclsval.e |
|
3 |
|
mclsval.c |
|
4 |
|
n0i |
|
5 |
|
fvprc |
|
6 |
3 5
|
syl5eq |
|
7 |
6
|
oveqd |
|
8 |
|
0ov |
|
9 |
7 8
|
eqtrdi |
|
10 |
4 9
|
nsyl2 |
|
11 |
|
fveq2 |
|
12 |
11 3
|
eqtr4di |
|
13 |
12
|
oveqd |
|
14 |
13
|
eleq2d |
|
15 |
|
fvex |
|
16 |
15
|
elpw2 |
|
17 |
|
fveq2 |
|
18 |
17 1
|
eqtr4di |
|
19 |
18
|
sseq2d |
|
20 |
16 19
|
syl5bb |
|
21 |
|
fvex |
|
22 |
21
|
elpw2 |
|
23 |
|
fveq2 |
|
24 |
23 2
|
eqtr4di |
|
25 |
24
|
sseq2d |
|
26 |
22 25
|
syl5bb |
|
27 |
20 26
|
anbi12d |
|
28 |
14 27
|
imbi12d |
|
29 |
|
vex |
|
30 |
15
|
pwex |
|
31 |
21
|
pwex |
|
32 |
30 31
|
mpoex |
|
33 |
|
df-mcls |
|
34 |
33
|
fvmpt2 |
|
35 |
29 32 34
|
mp2an |
|
36 |
35
|
elmpocl |
|
37 |
28 36
|
vtoclg |
|
38 |
10 37
|
mpcom |
|
39 |
38
|
simpld |
|
40 |
38
|
simprd |
|
41 |
10 39 40
|
3jca |
|