Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BTernaryTau
ZF set theory
Ordinals 5 through 9
8on
Next ⟩
9on
Metamath Proof Explorer
Ascii
Structured
Theorem
8on
Description:
Ordinal 8 is an ordinal number.
(Contributed by
BTernaryTau
, 4-Sep-2026)
Ref
Expression
Assertion
8on
⊢
8
o
∈ On
Proof
Step
Hyp
Ref
Expression
1
df-8o
⊢
8
o
= suc 7
o
2
7on
⊢
7
o
∈ On
3
2
onsuci
⊢
suc 7
o
∈ On
4
1
3
eqeltri
⊢
8
o
∈ On