Step |
Hyp |
Ref |
Expression |
1 |
|
iooabslt.1 |
|
2 |
|
iooabslt.2 |
|
3 |
|
iooabslt.3 |
|
4 |
1
|
recnd |
|
5 |
|
elioore |
|
6 |
3 5
|
syl |
|
7 |
6
|
recnd |
|
8 |
|
eqid |
|
9 |
8
|
cnmetdval |
|
10 |
4 7 9
|
syl2anc |
|
11 |
|
eqid |
|
12 |
11
|
bl2ioo |
|
13 |
1 2 12
|
syl2anc |
|
14 |
3 13
|
eleqtrrd |
|
15 |
|
cnxmet |
|
16 |
15
|
a1i |
|
17 |
4 1
|
elind |
|
18 |
2
|
rexrd |
|
19 |
11
|
blres |
|
20 |
16 17 18 19
|
syl3anc |
|
21 |
14 20
|
eleqtrd |
|
22 |
|
elin |
|
23 |
21 22
|
sylib |
|
24 |
23
|
simpld |
|
25 |
|
elbl |
|
26 |
16 4 18 25
|
syl3anc |
|
27 |
24 26
|
mpbid |
|
28 |
27
|
simprd |
|
29 |
10 28
|
eqbrtrrd |
|