Step |
Hyp |
Ref |
Expression |
1 |
|
nn0eo |
|
2 |
|
nn0re |
|
3 |
|
peano2rem |
|
4 |
2 3
|
syl |
|
5 |
4
|
adantl |
|
6 |
2
|
adantl |
|
7 |
|
2rp |
|
8 |
7
|
a1i |
|
9 |
2
|
lem1d |
|
10 |
9
|
adantl |
|
11 |
5 6 8 10
|
lediv1dd |
|
12 |
|
nn0z |
|
13 |
|
flid |
|
14 |
12 13
|
syl |
|
15 |
14
|
adantr |
|
16 |
11 15
|
breqtrrd |
|
17 |
16
|
ex |
|
18 |
|
nn0o |
|
19 |
18
|
ex |
|
20 |
|
nn0z |
|
21 |
20
|
adantl |
|
22 |
|
flid |
|
23 |
21 22
|
syl |
|
24 |
4
|
rehalfcld |
|
25 |
24
|
adantr |
|
26 |
2
|
rehalfcld |
|
27 |
26
|
adantr |
|
28 |
|
2re |
|
29 |
|
2pos |
|
30 |
28 29
|
pm3.2i |
|
31 |
30
|
a1i |
|
32 |
|
lediv1 |
|
33 |
4 2 31 32
|
syl3anc |
|
34 |
9 33
|
mpbid |
|
35 |
34
|
adantr |
|
36 |
|
flwordi |
|
37 |
25 27 35 36
|
syl3anc |
|
38 |
23 37
|
eqbrtrrd |
|
39 |
38
|
ex |
|
40 |
19 39
|
syldc |
|
41 |
17 40
|
jaoi |
|
42 |
1 41
|
mpcom |
|