Description: There exists an atom less than a co-atom. TODO: is this needed? (Contributed by NM, 1-Jun-2012)
Ref | Expression | ||
---|---|---|---|
Hypotheses | lhpatltex.s | |
|
lhpatltex.a | |
||
lhpatltex.h | |
||
Assertion | lhpexlt | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | lhpatltex.s | |
|
2 | lhpatltex.a | |
|
3 | lhpatltex.h | |
|
4 | simpl | |
|
5 | eqid | |
|
6 | 5 3 | lhpbase | |
7 | 6 | adantl | |
8 | eqid | |
|
9 | eqid | |
|
10 | 8 9 3 | lhp1cvr | |
11 | 5 1 8 9 2 | 1cvratex | |
12 | 4 7 10 11 | syl3anc | |