Step |
Hyp |
Ref |
Expression |
1 |
|
dnizphlfeqhlf.t |
|
2 |
|
dnizphlfeqhlf.1 |
|
3 |
2
|
zred |
|
4 |
|
halfre |
|
5 |
4
|
a1i |
|
6 |
3 5
|
readdcld |
|
7 |
1
|
dnival |
|
8 |
6 7
|
syl |
|
9 |
3
|
recnd |
|
10 |
5
|
recnd |
|
11 |
9 10
|
addcld |
|
12 |
9 10 10
|
addassd |
|
13 |
|
1cnd |
|
14 |
13
|
2halvesd |
|
15 |
14
|
oveq2d |
|
16 |
12 15
|
eqtrd |
|
17 |
2
|
peano2zd |
|
18 |
16 17
|
eqeltrd |
|
19 |
|
flid |
|
20 |
18 19
|
syl |
|
21 |
11 10 20
|
mvrladdd |
|
22 |
21
|
fveq2d |
|
23 |
|
halfgt0 |
|
24 |
|
0re |
|
25 |
24 4
|
ltlei |
|
26 |
23 25
|
ax-mp |
|
27 |
26
|
a1i |
|
28 |
5 27
|
absidd |
|
29 |
8 22 28
|
3eqtrd |
|