This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.
Metamath Proof Explorer
Description: An undirected simple pseudograph is an undirected hypergraph.
(Contributed by AV, 21-Apr-2025)
|
|
Ref |
Expression |
|
Assertion |
uspgruhgr |
⊢ ( 𝐺 ∈ USPGraph → 𝐺 ∈ UHGraph ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
uspgrupgr |
⊢ ( 𝐺 ∈ USPGraph → 𝐺 ∈ UPGraph ) |
| 2 |
|
upgruhgr |
⊢ ( 𝐺 ∈ UPGraph → 𝐺 ∈ UHGraph ) |
| 3 |
1 2
|
syl |
⊢ ( 𝐺 ∈ USPGraph → 𝐺 ∈ UHGraph ) |