Description: A strict order relation is irreflexive. (Contributed by NM, 24-Nov-1995)
Ref | Expression | ||
---|---|---|---|
Assertion | sonr | |- ( ( R Or A /\ B e. A ) -> -. B R B ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sopo | |- ( R Or A -> R Po A ) |
|
2 | poirr | |- ( ( R Po A /\ B e. A ) -> -. B R B ) |
|
3 | 1 2 | sylan | |- ( ( R Or A /\ B e. A ) -> -. B R B ) |