Step |
Hyp |
Ref |
Expression |
1 |
|
inf3lem.1 |
|
2 |
|
inf3lem.2 |
|
3 |
|
inf3lem.3 |
|
4 |
|
inf3lem.4 |
|
5 |
|
elnn |
|
6 |
5
|
ancoms |
|
7 |
|
nnord |
|
8 |
|
ordsucss |
|
9 |
7 8
|
syl |
|
10 |
9
|
adantr |
|
11 |
|
peano2b |
|
12 |
|
fveq2 |
|
13 |
12
|
psseq2d |
|
14 |
13
|
imbi2d |
|
15 |
|
fveq2 |
|
16 |
15
|
psseq2d |
|
17 |
16
|
imbi2d |
|
18 |
|
fveq2 |
|
19 |
18
|
psseq2d |
|
20 |
19
|
imbi2d |
|
21 |
|
fveq2 |
|
22 |
21
|
psseq2d |
|
23 |
22
|
imbi2d |
|
24 |
1 2 4 4
|
inf3lem4 |
|
25 |
24
|
com12 |
|
26 |
11 25
|
sylbir |
|
27 |
|
vex |
|
28 |
1 2 27 4
|
inf3lem4 |
|
29 |
|
psstr |
|
30 |
29
|
expcom |
|
31 |
28 30
|
syl6com |
|
32 |
31
|
a2d |
|
33 |
32
|
ad2antrr |
|
34 |
14 17 20 23 26 33
|
findsg |
|
35 |
34
|
ex |
|
36 |
11 35
|
sylan2b |
|
37 |
10 36
|
syld |
|
38 |
37
|
impancom |
|
39 |
6 38
|
mpd |
|
40 |
39
|
com12 |
|