Step |
Hyp |
Ref |
Expression |
1 |
|
elun |
|
2 |
|
ellz1 |
|
3 |
2
|
3ad2ant1 |
|
4 |
|
eluz1 |
|
5 |
4
|
3ad2ant2 |
|
6 |
3 5
|
orbi12d |
|
7 |
|
zre |
|
8 |
7
|
adantl |
|
9 |
|
simpl1 |
|
10 |
9
|
zred |
|
11 |
|
lelttric |
|
12 |
8 10 11
|
syl2anc |
|
13 |
|
simpll2 |
|
14 |
13
|
zred |
|
15 |
|
simpll1 |
|
16 |
15
|
peano2zd |
|
17 |
16
|
zred |
|
18 |
7
|
ad2antlr |
|
19 |
|
simpll3 |
|
20 |
|
zltp1le |
|
21 |
20
|
3ad2antl1 |
|
22 |
21
|
biimpa |
|
23 |
14 17 18 19 22
|
letrd |
|
24 |
23
|
ex |
|
25 |
24
|
orim2d |
|
26 |
12 25
|
mpd |
|
27 |
26
|
ex |
|
28 |
27
|
pm4.71d |
|
29 |
|
andi |
|
30 |
28 29
|
bitr2di |
|
31 |
6 30
|
bitrd |
|
32 |
1 31
|
syl5bb |
|
33 |
32
|
eqrdv |
|