Step |
Hyp |
Ref |
Expression |
1 |
|
submateqlem2.n |
|
2 |
|
submateqlem2.k |
|
3 |
|
submateqlem2.m |
|
4 |
|
submateqlem2.1 |
|
5 |
|
fz1ssnn |
|
6 |
5 3
|
sseldi |
|
7 |
6
|
nnge1d |
|
8 |
7 4
|
jca |
|
9 |
6
|
nnzd |
|
10 |
|
1zzd |
|
11 |
|
fz1ssnn |
|
12 |
11 2
|
sseldi |
|
13 |
12
|
nnzd |
|
14 |
|
elfzo |
|
15 |
9 10 13 14
|
syl3anc |
|
16 |
8 15
|
mpbird |
|
17 |
3
|
orcd |
|
18 |
|
nnuz |
|
19 |
1 18
|
eleqtrdi |
|
20 |
|
fzm1 |
|
21 |
19 20
|
syl |
|
22 |
17 21
|
mpbird |
|
23 |
6
|
nnred |
|
24 |
23 4
|
ltned |
|
25 |
|
nelsn |
|
26 |
24 25
|
syl |
|
27 |
22 26
|
eldifd |
|
28 |
16 27
|
jca |
|