Step |
Hyp |
Ref |
Expression |
1 |
|
strlem3.1 |
|
2 |
|
strlem3.2 |
|
3 |
|
strlem3.3 |
|
4 |
|
strlem3.4 |
|
5 |
1
|
strlem2 |
|
6 |
4 5
|
ax-mp |
|
7 |
|
eldif |
|
8 |
3
|
cheli |
|
9 |
|
pjnel |
|
10 |
4 9
|
mpan |
|
11 |
10
|
biimpa |
|
12 |
8 11
|
sylan |
|
13 |
7 12
|
sylbi |
|
14 |
|
breq2 |
|
15 |
13 14
|
syl5ib |
|
16 |
15
|
impcom |
|
17 |
|
eldifi |
|
18 |
4
|
pjhcli |
|
19 |
|
normcl |
|
20 |
18 19
|
syl |
|
21 |
|
normge0 |
|
22 |
18 21
|
syl |
|
23 |
|
1re |
|
24 |
|
0le1 |
|
25 |
|
lt2sq |
|
26 |
23 24 25
|
mpanr12 |
|
27 |
20 22 26
|
syl2anc |
|
28 |
17 8 27
|
3syl |
|
29 |
28
|
adantr |
|
30 |
16 29
|
mpbid |
|
31 |
6 30
|
eqbrtrid |
|
32 |
|
sq1 |
|
33 |
31 32
|
breqtrdi |
|
34 |
2 33
|
sylbi |
|