Step |
Hyp |
Ref |
Expression |
1 |
|
eluzelcn |
|
2 |
|
2cnd |
|
3 |
1 2
|
subcld |
|
4 |
3
|
adantr |
|
5 |
|
eleq1 |
|
6 |
5
|
adantl |
|
7 |
4 6
|
mpbird |
|
8 |
|
2cnd |
|
9 |
|
1cnd |
|
10 |
7 8 9
|
addsubd |
|
11 |
10
|
oveq2d |
|
12 |
|
oveq1 |
|
13 |
12
|
adantl |
|
14 |
|
uznn0sub |
|
15 |
|
1cnd |
|
16 |
1 2 15
|
subsub4d |
|
17 |
|
2p1e3 |
|
18 |
17
|
oveq2i |
|
19 |
16 18
|
eqtrdi |
|
20 |
|
nn0uz |
|
21 |
20
|
eqcomi |
|
22 |
21
|
a1i |
|
23 |
14 19 22
|
3eltr4d |
|
24 |
23
|
adantr |
|
25 |
13 24
|
eqeltrd |
|
26 |
|
fzosplitpr |
|
27 |
25 26
|
syl |
|
28 |
7 9
|
npcand |
|
29 |
28
|
preq2d |
|
30 |
29
|
uneq2d |
|
31 |
11 27 30
|
3eqtrd |
|