Step |
Hyp |
Ref |
Expression |
1 |
|
tfrlem.1 |
|
2 |
|
tfrlem.3 |
|
3 |
|
fvex |
|
4 |
|
funsng |
|
5 |
3 4
|
mpan2 |
|
6 |
1
|
tfrlem7 |
|
7 |
5 6
|
jctil |
|
8 |
3
|
dmsnop |
|
9 |
8
|
ineq2i |
|
10 |
1
|
tfrlem8 |
|
11 |
|
orddisj |
|
12 |
10 11
|
ax-mp |
|
13 |
9 12
|
eqtri |
|
14 |
|
funun |
|
15 |
7 13 14
|
sylancl |
|
16 |
8
|
uneq2i |
|
17 |
|
dmun |
|
18 |
|
df-suc |
|
19 |
16 17 18
|
3eqtr4i |
|
20 |
|
df-fn |
|
21 |
15 19 20
|
sylanblrc |
|
22 |
2
|
fneq1i |
|
23 |
21 22
|
sylibr |
|