Step |
Hyp |
Ref |
Expression |
1 |
|
xpexr2 |
|
2 |
1
|
simpld |
|
3 |
1
|
simprd |
|
4 |
|
simpr |
|
5 |
|
xpnz |
|
6 |
4 5
|
sylibr |
|
7 |
6
|
simprd |
|
8 |
|
xpdom3 |
|
9 |
2 3 7 8
|
syl3anc |
|
10 |
|
domfi |
|
11 |
9 10
|
syldan |
|
12 |
6
|
simpld |
|
13 |
|
xpdom3 |
|
14 |
3 2 12 13
|
syl3anc |
|
15 |
|
xpcomeng |
|
16 |
3 2 15
|
syl2anc |
|
17 |
|
domentr |
|
18 |
14 16 17
|
syl2anc |
|
19 |
|
domfi |
|
20 |
18 19
|
syldan |
|
21 |
11 20
|
jca |
|