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 ∈ USHGraph → G ∈ UHGraph

Proof

Step Hyp Ref Expression
1 uspgrupgr ⊢ G ∈ USHGraph → G ∈ UPGraph
2 upgruhgr ⊢ G ∈ UPGraph → G ∈ UHGraph
3 1 2 syl ⊢ G ∈ USHGraph → G ∈ UHGraph