Step |
Hyp |
Ref |
Expression |
1 |
|
prdsxms.y |
|
2 |
|
simp1 |
|
3 |
|
simp2 |
|
4 |
|
eqid |
|
5 |
|
eqid |
|
6 |
|
simp3 |
|
7 |
1 2 3 4 5 6
|
prdsxmslem1 |
|
8 |
|
ssid |
|
9 |
|
xmetres2 |
|
10 |
7 8 9
|
sylancl |
|
11 |
|
eqid |
|
12 |
|
eqid |
|
13 |
|
eqid |
|
14 |
|
eqid |
|
15 |
|
eqid |
|
16 |
1 2 3 4 5 6 11 12 13 14 15
|
prdsxmslem2 |
|
17 |
|
xmetf |
|
18 |
|
ffn |
|
19 |
|
fnresdm |
|
20 |
7 17 18 19
|
4syl |
|
21 |
20
|
fveq2d |
|
22 |
16 21
|
eqtr4d |
|
23 |
|
eqid |
|
24 |
11 5 23
|
isxms2 |
|
25 |
10 22 24
|
sylanbrc |
|