Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BTernaryTau
ZF set theory
Ordinals 5 through 9
df-9o
Next ⟩
5on
Metamath Proof Explorer
Ascii
Structured
Definition
df-9o
Description:
Define the ordinal number 9.
(Contributed by
BTernaryTau
, 2-Sep-2026)
Ref
Expression
Assertion
df-9o
⊢
9
o
= suc 8
o
Detailed syntax breakdown
Step
Hyp
Ref
Expression
0
c9o
⊢
9
o
1
c8o
⊢
8
o
2
1
csuc
⊢
suc 8
o
3
0
2
wceq
⊢
9
o
= suc 8
o