Step |
Hyp |
Ref |
Expression |
1 |
|
metakunt7.1 |
|
2 |
|
metakunt7.2 |
|
3 |
|
metakunt7.3 |
|
4 |
|
metakunt7.4 |
|
5 |
|
metakunt7.5 |
|
6 |
|
metakunt7.6 |
|
7 |
4
|
a1i |
|
8 |
|
eqeq1 |
|
9 |
|
breq1 |
|
10 |
|
id |
|
11 |
|
oveq1 |
|
12 |
9 10 11
|
ifbieq12d |
|
13 |
8 12
|
ifbieq2d |
|
14 |
13
|
adantl |
|
15 |
2
|
nnred |
|
16 |
15
|
adantr |
|
17 |
|
simpr |
|
18 |
16 17
|
ltned |
|
19 |
18
|
necomd |
|
20 |
|
df-ne |
|
21 |
19 20
|
sylib |
|
22 |
|
iffalse |
|
23 |
21 22
|
syl |
|
24 |
|
elfznn |
|
25 |
6 24
|
syl |
|
26 |
25
|
nnred |
|
27 |
26
|
adantr |
|
28 |
16 27 17
|
ltled |
|
29 |
16 27
|
lenltd |
|
30 |
28 29
|
mpbid |
|
31 |
|
iffalse |
|
32 |
30 31
|
syl |
|
33 |
23 32
|
eqtrd |
|
34 |
33
|
adantr |
|
35 |
14 34
|
eqtrd |
|
36 |
6
|
adantr |
|
37 |
36
|
elfzelzd |
|
38 |
|
1zzd |
|
39 |
37 38
|
zsubcld |
|
40 |
7 35 36 39
|
fvmptd |
|
41 |
|
1red |
|
42 |
26 41
|
resubcld |
|
43 |
|
elfzle2 |
|
44 |
6 43
|
syl |
|
45 |
6
|
elfzelzd |
|
46 |
1
|
nnzd |
|
47 |
|
zlem1lt |
|
48 |
45 46 47
|
syl2anc |
|
49 |
44 48
|
mpbid |
|
50 |
42 49
|
ltned |
|
51 |
50
|
adantr |
|
52 |
40 51
|
eqnetrd |
|
53 |
52
|
neneqd |
|
54 |
2
|
nnzd |
|
55 |
|
zltlem1 |
|
56 |
55
|
biimpd |
|
57 |
54 45 56
|
syl2anc |
|
58 |
57
|
imp |
|
59 |
58 40
|
breqtrrd |
|
60 |
39
|
zred |
|
61 |
40 60
|
eqeltrd |
|
62 |
16 61
|
lenltd |
|
63 |
59 62
|
mpbid |
|
64 |
40 53 63
|
3jca |
|