Step |
Hyp |
Ref |
Expression |
1 |
|
qdencl |
|
2 |
1
|
3ad2ant3 |
|
3 |
2
|
nnrpd |
|
4 |
|
1rp |
|
5 |
4
|
a1i |
|
6 |
|
simp2 |
|
7 |
6
|
nnzd |
|
8 |
6
|
nnne0d |
|
9 |
|
1exp |
|
10 |
7 9
|
syl |
|
11 |
|
zcn |
|
12 |
11
|
3ad2ant1 |
|
13 |
|
cxproot |
|
14 |
12 6 13
|
syl2anc |
|
15 |
14
|
fveq2d |
|
16 |
|
zq |
|
17 |
|
qden1elz |
|
18 |
16 17
|
syl |
|
19 |
18
|
ibir |
|
20 |
19
|
3ad2ant1 |
|
21 |
15 20
|
eqtrd |
|
22 |
|
simp3 |
|
23 |
6
|
nnnn0d |
|
24 |
|
denexp |
|
25 |
22 23 24
|
syl2anc |
|
26 |
10 21 25
|
3eqtr2rd |
|
27 |
3 5 7 8 26
|
exp11d |
|
28 |
|
qden1elz |
|
29 |
28
|
3ad2ant3 |
|
30 |
27 29
|
mpbid |
|