Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BTernaryTau
ZF set theory
Ordinals 5 through 9
6on
Next ⟩
7on
Metamath Proof Explorer
Ascii
Structured
Theorem
6on
Description:
Ordinal 6 is an ordinal number.
(Contributed by
BTernaryTau
, 4-Sep-2026)
Ref
Expression
Assertion
6on
⊢
6
o
∈ On
Proof
Step
Hyp
Ref
Expression
1
df-6o
⊢
6
o
= suc 5
o
2
5on
⊢
5
o
∈ On
3
2
onsuci
⊢
suc 5
o
∈ On
4
1
3
eqeltri
⊢
6
o
∈ On