Step |
Hyp |
Ref |
Expression |
1 |
|
metakunt32.1 |
|
2 |
|
metakunt32.2 |
|
3 |
|
metakunt32.3 |
|
4 |
|
metakunt32.4 |
|
5 |
|
metakunt32.5 |
|
6 |
|
metakunt32.6 |
|
7 |
|
metakunt32.7 |
|
8 |
|
metakunt32.8 |
|
9 |
5
|
a1i |
|
10 |
|
simpr |
|
11 |
10
|
eqeq1d |
|
12 |
10
|
breq1d |
|
13 |
|
oveq1 |
|
14 |
13
|
adantl |
|
15 |
14
|
breq2d |
|
16 |
15
|
ifbid |
|
17 |
14 16
|
oveq12d |
|
18 |
6
|
a1i |
|
19 |
18
|
eqcomd |
|
20 |
19
|
oveq2d |
|
21 |
17 20
|
eqtrd |
|
22 |
10
|
oveq1d |
|
23 |
22
|
breq2d |
|
24 |
23
|
ifbid |
|
25 |
22 24
|
oveq12d |
|
26 |
7
|
a1i |
|
27 |
26
|
eqcomd |
|
28 |
27
|
oveq2d |
|
29 |
25 28
|
eqtrd |
|
30 |
12 21 29
|
ifbieq12d |
|
31 |
11 10 30
|
ifbieq12d |
|
32 |
8
|
a1i |
|
33 |
32
|
eqcomd |
|
34 |
31 33
|
eqtrd |
|
35 |
4
|
elfzelzd |
|
36 |
1
|
nnzd |
|
37 |
2
|
nnzd |
|
38 |
36 37
|
zsubcld |
|
39 |
35 38
|
zaddcld |
|
40 |
|
1zzd |
|
41 |
|
0zd |
|
42 |
40 41
|
ifcld |
|
43 |
6
|
a1i |
|
44 |
43
|
eleq1d |
|
45 |
42 44
|
mpbird |
|
46 |
39 45
|
zaddcld |
|
47 |
35 37
|
zsubcld |
|
48 |
40 41
|
ifcld |
|
49 |
7
|
a1i |
|
50 |
49
|
eleq1d |
|
51 |
48 50
|
mpbird |
|
52 |
47 51
|
zaddcld |
|
53 |
46 52
|
ifcld |
|
54 |
35 53
|
ifcld |
|
55 |
8
|
a1i |
|
56 |
55
|
eleq1d |
|
57 |
54 56
|
mpbird |
|
58 |
9 34 4 57
|
fvmptd |
|