Step |
Hyp |
Ref |
Expression |
1 |
|
ordtypelem.1 |
|
2 |
|
ordtypelem.2 |
|
3 |
|
ordtypelem.3 |
|
4 |
|
ordtypelem.5 |
|
5 |
|
ordtypelem.6 |
|
6 |
|
ordtypelem.7 |
|
7 |
|
ordtypelem.8 |
|
8 |
1 2 3 4 5 6 7
|
ordtypelem4 |
|
9 |
8
|
fdmd |
|
10 |
|
inss1 |
|
11 |
1 2 3 4 5 6 7
|
ordtypelem2 |
|
12 |
|
ordsson |
|
13 |
11 12
|
syl |
|
14 |
10 13
|
sstrid |
|
15 |
9 14
|
eqsstrd |
|
16 |
|
epweon |
|
17 |
|
weso |
|
18 |
16 17
|
ax-mp |
|
19 |
|
soss |
|
20 |
15 18 19
|
mpisyl |
|
21 |
8
|
frnd |
|
22 |
|
wess |
|
23 |
21 6 22
|
sylc |
|
24 |
|
weso |
|
25 |
|
sopo |
|
26 |
23 24 25
|
3syl |
|
27 |
8
|
ffund |
|
28 |
|
funforn |
|
29 |
27 28
|
sylib |
|
30 |
|
epel |
|
31 |
1 2 3 4 5 6 7
|
ordtypelem6 |
|
32 |
30 31
|
syl5bi |
|
33 |
32
|
ralrimiva |
|
34 |
33
|
ralrimivw |
|
35 |
|
soisoi |
|
36 |
20 26 29 34 35
|
syl22anc |
|