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 e. USGraph -> G e. UPGraph )

Proof

Step Hyp Ref Expression
1 usgruspgr 
 |-  ( G e. USGraph -> G e. USPGraph )
2 uspgrupgr 
 |-  ( G e. USPGraph -> G e. UPGraph )
3 1 2 syl 
 |-  ( G e. USGraph -> G e. UPGraph )