Description: Ordering implies the modular pair property. Remark in MaedaMaeda p. 1. (Contributed by NM, 21-Jun-2004) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | ssmd2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | inss2 | |
|
2 | chub2 | |
|
3 | 1 2 | sstrid | |
4 | 3 | adantrl | |
5 | simpl | |
|
6 | sseqin2 | |
|
7 | 5 6 | sylib | |
8 | 7 | adantl | |
9 | 8 | oveq2d | |
10 | 4 9 | sseqtrrd | |
11 | 10 | a1d | |
12 | 11 | exp32 | |
13 | 12 | ralrimdv | |
14 | 13 | adantr | |
15 | mdbr2 | |
|
16 | 15 | ancoms | |
17 | 14 16 | sylibrd | |
18 | 17 | 3impia | |