Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Union
Ordinal arithmetic
df-1o
Next ⟩
df-2o
Metamath Proof Explorer
Ascii
Unicode
Definition
df-1o
Description:
Define the ordinal number 1.
(Contributed by
NM
, 29-Oct-1995)
Ref
Expression
Assertion
df-1o
⊢
1
𝑜
=
suc
⁡
∅
Detailed syntax breakdown
Step
Hyp
Ref
Expression
0
c1o
class
1
𝑜
1
c0
class
∅
2
1
csuc
class
suc
⁡
∅
3
0
2
wceq
wff
1
𝑜
=
suc
⁡
∅