Step |
Hyp |
Ref |
Expression |
1 |
|
2pthnloop.i |
|
2 |
1
|
2pthnloop |
|
3 |
2
|
3adant1 |
|
4 |
|
pthiswlk |
|
5 |
1
|
wlkf |
|
6 |
|
simp2 |
|
7 |
|
wrdsymbcl |
|
8 |
1
|
upgrle2 |
|
9 |
6 7 8
|
3imp3i2an |
|
10 |
|
fvex |
|
11 |
|
hashxnn0 |
|
12 |
|
xnn0xr |
|
13 |
10 11 12
|
mp2b |
|
14 |
|
2re |
|
15 |
14
|
rexri |
|
16 |
13 15
|
pm3.2i |
|
17 |
|
xrletri3 |
|
18 |
16 17
|
mp1i |
|
19 |
18
|
biimprd |
|
20 |
9 19
|
mpand |
|
21 |
20
|
3exp |
|
22 |
4 5 21
|
3syl |
|
23 |
22
|
impcom |
|
24 |
23
|
3adant3 |
|
25 |
24
|
imp |
|
26 |
25
|
ralimdva |
|
27 |
3 26
|
mpd |
|