Step |
Hyp |
Ref |
Expression |
1 |
|
metakunt10.1 |
|
2 |
|
metakunt10.2 |
|
3 |
|
metakunt10.3 |
|
4 |
|
metakunt10.4 |
|
5 |
|
metakunt10.5 |
|
6 |
|
metakunt10.6 |
|
7 |
4
|
a1i |
|
8 |
|
eqeq1 |
|
9 |
|
breq1 |
|
10 |
|
id |
|
11 |
|
oveq1 |
|
12 |
9 10 11
|
ifbieq12d |
|
13 |
8 12
|
ifbieq2d |
|
14 |
13
|
adantl |
|
15 |
|
fveq2 |
|
16 |
15
|
adantl |
|
17 |
5
|
a1i |
|
18 |
|
iftrue |
|
19 |
18
|
adantl |
|
20 |
|
1zzd |
|
21 |
1
|
nnzd |
|
22 |
1
|
nnge1d |
|
23 |
1
|
nnred |
|
24 |
23
|
leidd |
|
25 |
20 21 21 22 24
|
elfzd |
|
26 |
17 19 25 2
|
fvmptd |
|
27 |
26
|
adantr |
|
28 |
16 27
|
eqtrd |
|
29 |
|
iftrue |
|
30 |
28 29
|
syl |
|
31 |
|
simpr |
|
32 |
31
|
eqcomd |
|
33 |
30 32
|
eqtrd |
|
34 |
33
|
adantr |
|
35 |
14 34
|
eqtrd |
|
36 |
1 2 3 5
|
metakunt2 |
|
37 |
36
|
adantr |
|
38 |
6
|
adantr |
|
39 |
37 38
|
ffvelrnd |
|
40 |
7 35 39 38
|
fvmptd |
|