Description: The vertices connected by an edge are a subset of the neigborhood of each of these vertices. (Contributed by AV, 26-May-2025) (Proof shortened by AV, 24-Aug-2025)
Ref | Expression | ||
---|---|---|---|
Hypotheses | clnbgrssedg.e | ||
clnbgrssedg.n | |||
Assertion | clnbgrssedg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | clnbgrssedg.e | ||
2 | clnbgrssedg.n | ||
3 | 1 2 | clnbgredg | |
4 | 3 | 3exp2 | |
5 | 4 | 3imp | |
6 | 5 | ssrdv |