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SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for Alexander van der Vekens
Graph theory (extension)
Generalized Petersen graphs
gpgprismgr4cycllem5
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gpgprismgr4cycllem6
Metamath Proof Explorer
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Theorem
gpgprismgr4cycllem5
Description:
Lemma 5 for
gpgprismgr4cycl0
.
(Contributed by
AV
, 1-Nov-2025)
Ref
Expression
Hypothesis
gpgprismgr4cycl.p
⊢
P
=
〈“
0
0
0
1
1
1
1
0
0
0
”〉
Assertion
gpgprismgr4cycllem5
⊢
P
∈
Word
V
Proof
Step
Hyp
Ref
Expression
1
gpgprismgr4cycl.p
⊢
P
=
〈“
0
0
0
1
1
1
1
0
0
0
”〉
2
s5cli
⊢
〈“
0
0
0
1
1
1
1
0
0
0
”〉
∈
Word
V
3
1
2
eqeltri
⊢
P
∈
Word
V