Step |
Hyp |
Ref |
Expression |
1 |
|
inf3lem.1 |
|
2 |
|
inf3lem.2 |
|
3 |
|
inf3lem.3 |
|
4 |
|
inf3lem.4 |
|
5 |
|
fveq2 |
|
6 |
1 2 3 4
|
inf3lemb |
|
7 |
5 6
|
eqtrdi |
|
8 |
|
0ss |
|
9 |
7 8
|
eqsstrdi |
|
10 |
9
|
a1d |
|
11 |
|
nnsuc |
|
12 |
|
vex |
|
13 |
1 2 12 4
|
inf3lemc |
|
14 |
13
|
eleq2d |
|
15 |
|
vex |
|
16 |
|
fvex |
|
17 |
1 2 15 16
|
inf3lema |
|
18 |
17
|
simplbi |
|
19 |
14 18
|
syl6bi |
|
20 |
19
|
ssrdv |
|
21 |
|
fveq2 |
|
22 |
21
|
sseq1d |
|
23 |
20 22
|
syl5ibrcom |
|
24 |
23
|
rexlimiv |
|
25 |
11 24
|
syl |
|
26 |
25
|
expcom |
|
27 |
10 26
|
pm2.61ine |
|