Step |
Hyp |
Ref |
Expression |
1 |
|
simp1 |
|
2 |
|
2re |
|
3 |
|
peano2rem |
|
4 |
|
remulcl |
|
5 |
2 3 4
|
sylancr |
|
6 |
5
|
3ad2ant1 |
|
7 |
|
simp2 |
|
8 |
|
0le2 |
|
9 |
|
0re |
|
10 |
|
letr |
|
11 |
9 2 10
|
mp3an12 |
|
12 |
8 11
|
mpani |
|
13 |
12
|
imp |
|
14 |
|
resubcl |
|
15 |
2 14
|
mpan2 |
|
16 |
|
leadd2 |
|
17 |
2 16
|
mp3an1 |
|
18 |
15 17
|
mpdan |
|
19 |
18
|
biimpa |
|
20 |
|
recn |
|
21 |
|
2cn |
|
22 |
|
npcan |
|
23 |
20 21 22
|
sylancl |
|
24 |
23
|
adantr |
|
25 |
|
ax-1cn |
|
26 |
|
subdi |
|
27 |
21 25 26
|
mp3an13 |
|
28 |
|
2times |
|
29 |
|
2t1e2 |
|
30 |
29
|
a1i |
|
31 |
28 30
|
oveq12d |
|
32 |
|
addsub |
|
33 |
21 32
|
mp3an3 |
|
34 |
33
|
anidms |
|
35 |
27 31 34
|
3eqtrrd |
|
36 |
20 35
|
syl |
|
37 |
36
|
adantr |
|
38 |
19 24 37
|
3brtr3d |
|
39 |
13 38
|
jca |
|
40 |
39
|
3adant2 |
|
41 |
|
leexp1a |
|
42 |
1 6 7 40 41
|
syl31anc |
|
43 |
3
|
recnd |
|
44 |
|
mulexp |
|
45 |
21 44
|
mp3an1 |
|
46 |
43 45
|
sylan |
|
47 |
46
|
3adant3 |
|
48 |
42 47
|
breqtrd |
|