Step |
Hyp |
Ref |
Expression |
1 |
|
flid |
|
2 |
|
ceilid |
|
3 |
1 2
|
eqtr4d |
|
4 |
|
eqeq1 |
|
5 |
4
|
adantr |
|
6 |
|
ceilidz |
|
7 |
|
eqcom |
|
8 |
6 7
|
bitrdi |
|
9 |
8
|
biimprd |
|
10 |
9
|
adantl |
|
11 |
5 10
|
sylbid |
|
12 |
11
|
ex |
|
13 |
|
flle |
|
14 |
|
df-ne |
|
15 |
|
necom |
|
16 |
|
reflcl |
|
17 |
|
id |
|
18 |
16 17
|
ltlend |
|
19 |
|
breq1 |
|
20 |
19
|
adantl |
|
21 |
|
ceilge |
|
22 |
|
ceilcl |
|
23 |
22
|
zred |
|
24 |
17 23
|
lenltd |
|
25 |
|
pm2.21 |
|
26 |
24 25
|
syl6bi |
|
27 |
21 26
|
mpd |
|
28 |
27
|
adantr |
|
29 |
20 28
|
sylbid |
|
30 |
29
|
ex |
|
31 |
30
|
com23 |
|
32 |
18 31
|
sylbird |
|
33 |
32
|
expd |
|
34 |
33
|
com3r |
|
35 |
15 34
|
sylbi |
|
36 |
14 35
|
sylbir |
|
37 |
13 36
|
mpdi |
|
38 |
12 37
|
pm2.61i |
|
39 |
3 38
|
impbid2 |
|