Step |
Hyp |
Ref |
Expression |
1 |
|
unblem.2 |
|
2 |
|
fveq2 |
|
3 |
2
|
eleq1d |
|
4 |
|
fveq2 |
|
5 |
4
|
eleq1d |
|
6 |
|
fveq2 |
|
7 |
6
|
eleq1d |
|
8 |
|
omsson |
|
9 |
|
sstr |
|
10 |
8 9
|
mpan2 |
|
11 |
|
peano1 |
|
12 |
|
eleq1 |
|
13 |
12
|
rexbidv |
|
14 |
13
|
rspcv |
|
15 |
11 14
|
ax-mp |
|
16 |
|
df-rex |
|
17 |
15 16
|
sylib |
|
18 |
|
exsimpl |
|
19 |
17 18
|
syl |
|
20 |
|
n0 |
|
21 |
19 20
|
sylibr |
|
22 |
|
onint |
|
23 |
10 21 22
|
syl2an |
|
24 |
1
|
fveq1i |
|
25 |
|
fr0g |
|
26 |
24 25
|
eqtr2id |
|
27 |
26
|
eleq1d |
|
28 |
27
|
ibi |
|
29 |
23 28
|
syl |
|
30 |
|
unblem1 |
|
31 |
|
suceq |
|
32 |
31
|
difeq2d |
|
33 |
32
|
inteqd |
|
34 |
|
suceq |
|
35 |
34
|
difeq2d |
|
36 |
35
|
inteqd |
|
37 |
1 33 36
|
frsucmpt2 |
|
38 |
37
|
eqcomd |
|
39 |
38
|
eleq1d |
|
40 |
39
|
ex |
|
41 |
40
|
ibd |
|
42 |
30 41
|
syl5 |
|
43 |
42
|
expd |
|
44 |
3 5 7 29 43
|
finds2 |
|
45 |
44
|
com12 |
|