Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Union
Ordinal arithmetic
df-1o
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df-2o
Metamath Proof Explorer
Ascii
Structured
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
⊢
1
o
1
c0
⊢
∅
2
1
csuc
⊢
suc ∅
3
0
2
wceq
⊢
1
o
= suc ∅