Database
GRAPH THEORY
Undirected graphs
Undirected pseudographs and multigraphs
umgruhgr
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upgrle2
Metamath Proof Explorer
Ascii
Unicode
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