Step |
Hyp |
Ref |
Expression |
1 |
|
tfrlem.1 |
|
2 |
1
|
tfrlem8 |
|
3 |
|
ordzsl |
|
4 |
2 3
|
mpbi |
|
5 |
|
res0 |
|
6 |
|
0ex |
|
7 |
5 6
|
eqeltri |
|
8 |
|
0elon |
|
9 |
1
|
tfrlem15 |
|
10 |
8 9
|
ax-mp |
|
11 |
7 10
|
mpbir |
|
12 |
11
|
n0ii |
|
13 |
12
|
pm2.21i |
|
14 |
1
|
tfrlem13 |
|
15 |
|
simpr |
|
16 |
|
df-suc |
|
17 |
15 16
|
eqtrdi |
|
18 |
17
|
reseq2d |
|
19 |
1
|
tfrlem6 |
|
20 |
|
resdm |
|
21 |
19 20
|
ax-mp |
|
22 |
|
resundi |
|
23 |
18 21 22
|
3eqtr3g |
|
24 |
|
vex |
|
25 |
24
|
sucid |
|
26 |
25 15
|
eleqtrrid |
|
27 |
1
|
tfrlem9a |
|
28 |
26 27
|
syl |
|
29 |
|
snex |
|
30 |
1
|
tfrlem7 |
|
31 |
|
funressn |
|
32 |
30 31
|
ax-mp |
|
33 |
29 32
|
ssexi |
|
34 |
|
unexg |
|
35 |
28 33 34
|
sylancl |
|
36 |
23 35
|
eqeltrd |
|
37 |
36
|
rexlimiva |
|
38 |
14 37
|
mto |
|
39 |
38
|
pm2.21i |
|
40 |
|
id |
|
41 |
13 39 40
|
3jaoi |
|
42 |
4 41
|
ax-mp |
|