Description: Two atoms cannot satisfy the covering relation. (Contributed by NM, 7-Feb-2012) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | atncvr.c | |
|
atncvr.a | |
||
Assertion | atncvrN | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | atncvr.c | |
|
2 | atncvr.a | |
|
3 | eqid | |
|
4 | 3 2 | atn0 | |
5 | 4 | 3adant3 | |
6 | eqid | |
|
7 | 6 2 | atbase | |
8 | eqid | |
|
9 | 6 8 3 1 2 | atcvreq0 | |
10 | 7 9 | syl3an2 | |
11 | 10 | necon3bbid | |
12 | 5 11 | mpbird | |