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 )