Theorem usgrupgr

Description: A simple graph is an undirected pseudograph. (Contributed by Alexander van der Vekens, 20-Aug-2017) (Revised by AV, 15-Oct-2020)

	Ref	Expression
Assertion	usgrupgr	⊢ ( 𝐺 ∈ USGraph → 𝐺 ∈ UPGraph )

Proof

Step	Hyp	Ref	Expression
1		usgruspgr	⊢ ( 𝐺 ∈ USGraph → 𝐺 ∈ USPGraph )
2		uspgrupgr	⊢ ( 𝐺 ∈ USPGraph → 𝐺 ∈ UPGraph )
3	1 2	syl	⊢ ( 𝐺 ∈ USGraph → 𝐺 ∈ UPGraph )