Metamath Proof Explorer

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	$⊢ G \in USGraph \to G \in UPGraph$

Step	Hyp	Ref	Expression
1		usgruspgr	$⊢ G \in USGraph \to G \in USHGraph$
2		uspgrupgr	$⊢ G \in USHGraph \to G \in UPGraph$
3	1 2	syl	$⊢ G \in USGraph \to G \in UPGraph$