Step |
Hyp |
Ref |
Expression |
1 |
|
metakunt27.1 |
|
2 |
|
metakunt27.2 |
|
3 |
|
metakunt27.3 |
|
4 |
|
metakunt27.4 |
|
5 |
|
metakunt27.5 |
|
6 |
|
metakunt27.6 |
|
7 |
|
metakunt27.7 |
|
8 |
|
metakunt27.8 |
|
9 |
5
|
a1i |
|
10 |
7
|
adantr |
|
11 |
|
simpr |
|
12 |
11
|
eqeq1d |
|
13 |
12
|
notbid |
|
14 |
10 13
|
mpbird |
|
15 |
14
|
iffalsed |
|
16 |
8
|
adantr |
|
17 |
11
|
breq1d |
|
18 |
16 17
|
mpbird |
|
19 |
18
|
iftrued |
|
20 |
19 11
|
eqtrd |
|
21 |
15 20
|
eqtrd |
|
22 |
9 21 4 4
|
fvmptd |
|
23 |
22
|
fveq2d |
|
24 |
6
|
a1i |
|
25 |
|
elfznn |
|
26 |
4 25
|
syl |
|
27 |
26
|
nnred |
|
28 |
2
|
nnred |
|
29 |
1
|
nnred |
|
30 |
27 28 29 8 3
|
ltletrd |
|
31 |
27 30
|
ltned |
|
32 |
31
|
neneqd |
|
33 |
32
|
adantr |
|
34 |
|
simpr |
|
35 |
34
|
eqeq1d |
|
36 |
35
|
notbid |
|
37 |
33 36
|
mpbird |
|
38 |
37
|
iffalsed |
|
39 |
8
|
adantr |
|
40 |
34
|
breq1d |
|
41 |
39 40
|
mpbird |
|
42 |
41
|
iftrued |
|
43 |
34
|
oveq1d |
|
44 |
42 43
|
eqtrd |
|
45 |
38 44
|
eqtrd |
|
46 |
4
|
elfzelzd |
|
47 |
1
|
nnzd |
|
48 |
2
|
nnzd |
|
49 |
47 48
|
zsubcld |
|
50 |
46 49
|
zaddcld |
|
51 |
24 45 4 50
|
fvmptd |
|
52 |
23 51
|
eqtrd |
|