Step |
Hyp |
Ref |
Expression |
1 |
|
odval.1 |
|
2 |
|
odval.2 |
|
3 |
|
odval.3 |
|
4 |
|
odval.4 |
|
5 |
|
fveq2 |
|
6 |
5 1
|
eqtr4di |
|
7 |
|
fveq2 |
|
8 |
7 2
|
eqtr4di |
|
9 |
8
|
oveqd |
|
10 |
|
fveq2 |
|
11 |
10 3
|
eqtr4di |
|
12 |
9 11
|
eqeq12d |
|
13 |
12
|
rabbidv |
|
14 |
13
|
csbeq1d |
|
15 |
6 14
|
mpteq12dv |
|
16 |
|
df-od |
|
17 |
1
|
fvexi |
|
18 |
|
nn0ex |
|
19 |
|
nnex |
|
20 |
19
|
rabex |
|
21 |
|
eqeq1 |
|
22 |
|
infeq1 |
|
23 |
21 22
|
ifbieq2d |
|
24 |
20 23
|
csbie |
|
25 |
|
0nn0 |
|
26 |
25
|
a1i |
|
27 |
|
df-ne |
|
28 |
|
ssrab2 |
|
29 |
|
nnuz |
|
30 |
28 29
|
sseqtri |
|
31 |
|
infssuzcl |
|
32 |
30 31
|
mpan |
|
33 |
28 32
|
sseldi |
|
34 |
27 33
|
sylbir |
|
35 |
34
|
nnnn0d |
|
36 |
35
|
adantl |
|
37 |
26 36
|
ifclda |
|
38 |
37
|
mptru |
|
39 |
24 38
|
eqeltri |
|
40 |
39
|
rgenw |
|
41 |
17 18 40
|
mptexw |
|
42 |
15 16 41
|
fvmpt |
|
43 |
|
fvprc |
|
44 |
|
fvprc |
|
45 |
1 44
|
syl5eq |
|
46 |
45
|
mpteq1d |
|
47 |
|
mpt0 |
|
48 |
46 47
|
eqtrdi |
|
49 |
43 48
|
eqtr4d |
|
50 |
42 49
|
pm2.61i |
|
51 |
4 50
|
eqtri |
|