Description: 'Less than' is antisymmetric and irreflexive. (Contributed by NM, 13-Aug-2005) (Proof shortened by Andrew Salmon, 19-Nov-2011)
Ref | Expression | ||
---|---|---|---|
Assertion | ltnsym2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ltso | |
|
2 | so2nr | |
|
3 | 1 2 | mpan | |