Metamath Proof Explorer


Theorem uspgruhgr

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 )