Description: An undirected simple pseudograph is an undirected hypergraph. (Contributed by AV, 21-Apr-2025)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | uspgruhgr | ⊢ ( 𝐺 ∈ USPGraph → 𝐺 ∈ UHGraph ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | uspgrupgr | ⊢ ( 𝐺 ∈ USPGraph → 𝐺 ∈ UPGraph ) | |
| 2 | upgruhgr | ⊢ ( 𝐺 ∈ UPGraph → 𝐺 ∈ UHGraph ) | |
| 3 | 1 2 | syl | ⊢ ( 𝐺 ∈ USPGraph → 𝐺 ∈ UHGraph ) |