Step |
Hyp |
Ref |
Expression |
1 |
|
zre |
|
2 |
|
peano2re |
|
3 |
1 2
|
syl |
|
4 |
3
|
rehalfcld |
|
5 |
|
flltp1 |
|
6 |
4 5
|
syl |
|
7 |
4
|
flcld |
|
8 |
7
|
zred |
|
9 |
|
1red |
|
10 |
8 9
|
readdcld |
|
11 |
|
2rp |
|
12 |
11
|
a1i |
|
13 |
3 10 12
|
ltdivmuld |
|
14 |
6 13
|
mpbid |
|
15 |
9
|
recnd |
|
16 |
15
|
2timesd |
|
17 |
16
|
oveq2d |
|
18 |
|
2cnd |
|
19 |
8
|
recnd |
|
20 |
18 19 15
|
adddid |
|
21 |
|
2re |
|
22 |
21
|
a1i |
|
23 |
22 8
|
remulcld |
|
24 |
23
|
recnd |
|
25 |
24 15 15
|
addassd |
|
26 |
17 20 25
|
3eqtr4d |
|
27 |
14 26
|
breqtrd |
|
28 |
23 9
|
readdcld |
|
29 |
1 28 9
|
ltadd1d |
|
30 |
27 29
|
mpbird |
|
31 |
|
2z |
|
32 |
31
|
a1i |
|
33 |
32 7
|
zmulcld |
|
34 |
|
zleltp1 |
|
35 |
33 34
|
mpdan |
|
36 |
30 35
|
mpbird |
|