Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Union
Ordinal arithmetic
df-3o
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df-4o
Metamath Proof Explorer
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Structured
Definition
df-3o
Description:
Define the ordinal number 3.
(Contributed by
Mario Carneiro
, 14-Jul-2013)
Ref
Expression
Assertion
df-3o
⊢
3
o
= suc 2
o
Detailed syntax breakdown
Step
Hyp
Ref
Expression
0
c3o
⊢
3
o
1
c2o
⊢
2
o
2
1
csuc
⊢
suc 2
o
3
0
2
wceq
⊢
3
o
= suc 2
o