Step |
Hyp |
Ref |
Expression |
1 |
|
nn0re |
|
2 |
1
|
adantl |
|
3 |
2
|
adantr |
|
4 |
|
simpr |
|
5 |
|
simpr |
|
6 |
5
|
adantr |
|
7 |
4 6
|
nn0addcld |
|
8 |
7
|
nn0red |
|
9 |
|
nnnn0 |
|
10 |
9
|
ad2antrr |
|
11 |
7 10
|
nn0mulcld |
|
12 |
11
|
nn0red |
|
13 |
|
nn0ge0 |
|
14 |
13
|
adantl |
|
15 |
6
|
nn0red |
|
16 |
4
|
nn0red |
|
17 |
15 16
|
addge02d |
|
18 |
14 17
|
mpbid |
|
19 |
|
simpll |
|
20 |
19
|
nnred |
|
21 |
7
|
nn0ge0d |
|
22 |
|
nnge1 |
|
23 |
22
|
ad2antrr |
|
24 |
8 20 21 23
|
lemulge11d |
|
25 |
3 8 12 18 24
|
letrd |
|
26 |
|
nn0sub |
|
27 |
6 11 26
|
syl2anc |
|
28 |
25 27
|
mpbid |
|