Step |
Hyp |
Ref |
Expression |
1 |
|
lcmineqlem21.1 |
|
2 |
|
lcmineqlem21.2 |
|
3 |
|
2nn0 |
|
4 |
3
|
a1i |
|
5 |
4
|
nn0red |
|
6 |
1
|
nnnn0d |
|
7 |
4 6
|
nn0mulcld |
|
8 |
7 4
|
nn0addcld |
|
9 |
5 8
|
reexpcld |
|
10 |
1
|
nnred |
|
11 |
|
2rp |
|
12 |
11
|
a1i |
|
13 |
|
2z |
|
14 |
13
|
a1i |
|
15 |
1
|
nnzd |
|
16 |
14 15
|
zmulcld |
|
17 |
12 16
|
rpexpcld |
|
18 |
17
|
rpred |
|
19 |
10 18
|
remulcld |
|
20 |
|
fz1ssnn |
|
21 |
|
fzfi |
|
22 |
|
lcmfnncl |
|
23 |
20 21 22
|
mp2an |
|
24 |
23
|
a1i |
|
25 |
24
|
nnred |
|
26 |
|
4re |
|
27 |
26
|
a1i |
|
28 |
27 10 17
|
lemul1d |
|
29 |
2 28
|
mpbid |
|
30 |
|
2cnd |
|
31 |
30 4 7
|
expaddd |
|
32 |
|
sq2 |
|
33 |
32
|
oveq2i |
|
34 |
31 33
|
eqtrdi |
|
35 |
17
|
rpcnd |
|
36 |
27
|
recnd |
|
37 |
35 36
|
mulcomd |
|
38 |
34 37
|
eqtrd |
|
39 |
38
|
breq1d |
|
40 |
29 39
|
mpbird |
|
41 |
1
|
lcmineqlem20 |
|
42 |
9 19 25 40 41
|
letrd |
|