Step |
Hyp |
Ref |
Expression |
1 |
|
sge0rnbnd.x |
|
2 |
|
sge0rnbnd.f |
|
3 |
|
sge0rnbnd.re |
|
4 |
|
simpl |
|
5 |
|
vex |
|
6 |
|
eqid |
|
7 |
6
|
elrnmpt |
|
8 |
5 7
|
ax-mp |
|
9 |
8
|
biimpi |
|
10 |
9
|
adantl |
|
11 |
|
simp3 |
|
12 |
1
|
adantr |
|
13 |
2
|
adantr |
|
14 |
1 2 3
|
sge0rern |
|
15 |
14
|
adantr |
|
16 |
13 15
|
fge0iccico |
|
17 |
|
elpwinss |
|
18 |
17
|
adantl |
|
19 |
|
elinel2 |
|
20 |
19
|
adantl |
|
21 |
12 16 18 20
|
fsumlesge0 |
|
22 |
21
|
3adant3 |
|
23 |
11 22
|
eqbrtrd |
|
24 |
23
|
3exp |
|
25 |
24
|
rexlimdv |
|
26 |
4 10 25
|
sylc |
|
27 |
26
|
ralrimiva |
|
28 |
|
brralrspcev |
|
29 |
3 27 28
|
syl2anc |
|