Step |
Hyp |
Ref |
Expression |
1 |
|
lcmineqlem16.1 |
|
2 |
|
lcmineqlem16.2 |
|
3 |
|
lcmineqlem16.3 |
|
4 |
|
fz1ssnn |
|
5 |
|
fzfi |
|
6 |
|
lcmfnncl |
|
7 |
4 5 6
|
mp2an |
|
8 |
7
|
a1i |
|
9 |
8
|
nncnd |
|
10 |
1
|
nncnd |
|
11 |
1
|
nnnn0d |
|
12 |
2 11 3
|
bccl2d |
|
13 |
12
|
nncnd |
|
14 |
10 13
|
mulcld |
|
15 |
1
|
nnne0d |
|
16 |
12
|
nnne0d |
|
17 |
10 13 15 16
|
mulne0d |
|
18 |
9 14 17
|
divrecd |
|
19 |
|
eqid |
|
20 |
19 1 2 3
|
lcmineqlem13 |
|
21 |
20
|
oveq2d |
|
22 |
19 2 1 3
|
lcmineqlem15 |
|
23 |
21 22
|
eqeltrrd |
|
24 |
18 23
|
eqeltrd |
|
25 |
1 12
|
nnmulcld |
|
26 |
25 8
|
nndivdvdsd |
|
27 |
24 26
|
mpbird |
|