Step |
Hyp |
Ref |
Expression |
1 |
|
lcmineqlem20.1 |
|
2 |
1
|
nnred |
|
3 |
|
2nn0 |
|
4 |
3
|
a1i |
|
5 |
1
|
nnnn0d |
|
6 |
4 5
|
nn0mulcld |
|
7 |
|
2re |
|
8 |
|
reexpcl |
|
9 |
7 8
|
mpan |
|
10 |
6 9
|
syl |
|
11 |
2 10
|
remulcld |
|
12 |
7
|
a1i |
|
13 |
12 2
|
remulcld |
|
14 |
|
1red |
|
15 |
13 14
|
readdcld |
|
16 |
|
2nn |
|
17 |
16
|
a1i |
|
18 |
17 1
|
nnmulcld |
|
19 |
5
|
nn0ge0d |
|
20 |
17
|
nnge1d |
|
21 |
2 12 19 20
|
lemulge12d |
|
22 |
18 5 21
|
bccl2d |
|
23 |
22
|
nnred |
|
24 |
15 23
|
remulcld |
|
25 |
2 24
|
remulcld |
|
26 |
|
fz1ssnn |
|
27 |
|
fzfi |
|
28 |
|
lcmfnncl |
|
29 |
26 27 28
|
mp2an |
|
30 |
29
|
a1i |
|
31 |
30
|
nnred |
|
32 |
5
|
lcmineqlem17 |
|
33 |
1
|
nnrpd |
|
34 |
10 24 33
|
lemul2d |
|
35 |
32 34
|
mpbid |
|
36 |
2
|
recnd |
|
37 |
15
|
recnd |
|
38 |
23
|
recnd |
|
39 |
36 37 38
|
mulassd |
|
40 |
1
|
lcmineqlem19 |
|
41 |
18
|
peano2nnd |
|
42 |
1 41
|
nnmulcld |
|
43 |
42 22
|
nnmulcld |
|
44 |
43
|
nnzd |
|
45 |
|
dvdsle |
|
46 |
44 30 45
|
syl2anc |
|
47 |
40 46
|
mpd |
|
48 |
39 47
|
eqbrtrrd |
|
49 |
11 25 31 35 48
|
letrd |
|