Step |
Hyp |
Ref |
Expression |
1 |
|
metakunt15.1 |
|
2 |
|
metakunt15.2 |
|
3 |
|
metakunt15.3 |
|
4 |
|
metakunt15.4 |
|
5 |
|
1zzd |
|
6 |
2
|
nnzd |
|
7 |
6
|
adantr |
|
8 |
7 5
|
zsubcld |
|
9 |
1
|
nnzd |
|
10 |
9
|
adantr |
|
11 |
10 7
|
zsubcld |
|
12 |
|
simpr |
|
13 |
|
elfz3 |
|
14 |
11 13
|
syl |
|
15 |
11
|
zcnd |
|
16 |
|
1cnd |
|
17 |
15 16
|
addcomd |
|
18 |
1
|
nncnd |
|
19 |
2
|
nncnd |
|
20 |
|
1cnd |
|
21 |
18 19 20
|
npncand |
|
22 |
21
|
eqcomd |
|
23 |
18 19
|
subcld |
|
24 |
19 20
|
subcld |
|
25 |
23 24
|
addcomd |
|
26 |
22 25
|
eqtrd |
|
27 |
26
|
adantr |
|
28 |
5 8 11 11 12 14 17 27
|
fzadd2d |
|
29 |
|
1zzd |
|
30 |
6
|
adantr |
|
31 |
30 29
|
zsubcld |
|
32 |
|
elfzelz |
|
33 |
32
|
adantl |
|
34 |
9
|
adantr |
|
35 |
34 30
|
zsubcld |
|
36 |
33 35
|
zsubcld |
|
37 |
|
elfzle1 |
|
38 |
37
|
adantl |
|
39 |
35
|
zred |
|
40 |
|
1red |
|
41 |
33
|
zred |
|
42 |
39 40 41
|
leaddsub2d |
|
43 |
38 42
|
mpbid |
|
44 |
|
elfzle2 |
|
45 |
44
|
adantl |
|
46 |
21
|
adantr |
|
47 |
45 46
|
breqtrrd |
|
48 |
31
|
zred |
|
49 |
41 39 48
|
lesubadd2d |
|
50 |
47 49
|
mpbird |
|
51 |
29 31 36 43 50
|
elfzd |
|
52 |
|
eqcom |
|
53 |
52
|
a1i |
|
54 |
32
|
zcnd |
|
55 |
54
|
ad2antll |
|
56 |
18
|
adantr |
|
57 |
19
|
adantr |
|
58 |
56 57
|
subcld |
|
59 |
|
elfznn |
|
60 |
59
|
nncnd |
|
61 |
60
|
ad2antrl |
|
62 |
55 58 61
|
subaddd |
|
63 |
53 62
|
bitr3d |
|
64 |
58 61
|
addcomd |
|
65 |
64
|
eqeq1d |
|
66 |
|
eqcom |
|
67 |
66
|
a1i |
|
68 |
65 67
|
bitrd |
|
69 |
63 68
|
bitrd |
|
70 |
4 28 51 69
|
f1o2d |
|