Description: Consequence of "at most one". (Contributed by NM, 2-Jan-2015)
Ref | Expression | ||
---|---|---|---|
Hypothesis | moi2.1 | |
|
Assertion | mob2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | moi2.1 | |
|
2 | simp3 | |
|
3 | 2 1 | syl5ibcom | |
4 | nfv | |
|
5 | 4 1 | sbhypf | |
6 | 5 | anbi2d | |
7 | eqeq2 | |
|
8 | 6 7 | imbi12d | |
9 | 8 | spcgv | |
10 | nfs1v | |
|
11 | sbequ12 | |
|
12 | 10 11 | mo4f | |
13 | sp | |
|
14 | 12 13 | sylbi | |
15 | 9 14 | impel | |
16 | 15 | expd | |
17 | 16 | 3impia | |
18 | 3 17 | impbid | |