Step |
Hyp |
Ref |
Expression |
1 |
|
sbthlem.1 |
|
2 |
|
sbthlem.2 |
|
3 |
|
sbthlem.3 |
|
4 |
|
rnun |
|
5 |
3
|
rneqi |
|
6 |
|
df-ima |
|
7 |
6
|
uneq1i |
|
8 |
4 5 7
|
3eqtr4i |
|
9 |
|
df-ima |
|
10 |
1 2
|
sbthlem4 |
|
11 |
9 10
|
syl5reqr |
|
12 |
11
|
uneq2d |
|
13 |
8 12
|
eqtr4id |
|
14 |
|
imassrn |
|
15 |
|
sstr2 |
|
16 |
14 15
|
ax-mp |
|
17 |
|
undif |
|
18 |
16 17
|
sylib |
|
19 |
13 18
|
sylan9eqr |
|