Step |
Hyp |
Ref |
Expression |
1 |
|
nn0z |
|
2 |
|
frmx |
|
3 |
2
|
fovcl |
|
4 |
1 3
|
sylan2 |
|
5 |
4
|
nn0red |
|
6 |
|
eluzelre |
|
7 |
6
|
adantr |
|
8 |
5 7
|
remulcld |
|
9 |
1
|
peano2zd |
|
10 |
2
|
fovcl |
|
11 |
9 10
|
sylan2 |
|
12 |
11
|
nn0red |
|
13 |
|
eluz2b2 |
|
14 |
13
|
simprbi |
|
15 |
14
|
adantr |
|
16 |
|
rmxypos |
|
17 |
16
|
simpld |
|
18 |
|
ltmulgt11 |
|
19 |
5 7 17 18
|
syl3anc |
|
20 |
15 19
|
mpbid |
|
21 |
|
rmspecnonsq |
|
22 |
21
|
eldifad |
|
23 |
22
|
adantr |
|
24 |
23
|
nnred |
|
25 |
|
frmy |
|
26 |
25
|
fovcl |
|
27 |
1 26
|
sylan2 |
|
28 |
27
|
zred |
|
29 |
23
|
nnnn0d |
|
30 |
29
|
nn0ge0d |
|
31 |
16
|
simprd |
|
32 |
24 28 30 31
|
mulge0d |
|
33 |
24 28
|
remulcld |
|
34 |
8 33
|
addge01d |
|
35 |
32 34
|
mpbid |
|
36 |
|
rmxp1 |
|
37 |
1 36
|
sylan2 |
|
38 |
35 37
|
breqtrrd |
|
39 |
5 8 12 20 38
|
ltletrd |
|
40 |
|
nn0z |
|
41 |
2
|
fovcl |
|
42 |
40 41
|
sylan2 |
|
43 |
42
|
nn0red |
|
44 |
|
nn0uz |
|
45 |
|
oveq2 |
|
46 |
|
oveq2 |
|
47 |
|
oveq2 |
|
48 |
|
oveq2 |
|
49 |
39 43 44 45 46 47 48
|
monotuz |
|
50 |
49
|
3impb |
|