Metamath Proof Explorer


Theorem umgruhgr

Description: An undirected multigraph is an undirected hypergraph. (Contributed by AV, 26-Nov-2020)

Ref Expression
Assertion umgruhgr ⊢ G ∈ UMGraph → G ∈ UHGraph

Proof

Step Hyp Ref Expression
1 umgrupgr ⊢ G ∈ UMGraph → G ∈ UPGraph
2 upgruhgr ⊢ G ∈ UPGraph → G ∈ UHGraph
3 1 2 syl ⊢ G ∈ UMGraph → G ∈ UHGraph