Database
SURREAL NUMBERS
Subsystems of surreals
Dyadic fractions
2sno
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2ne0s
Metamath Proof Explorer
Ascii
Structured
Theorem
2sno
Description:
Surreal two is a surreal number.
(Contributed by
Scott Fenton
, 23-Jul-2025)
Ref
Expression
Assertion
2sno
⊢
2
s
∈
No
Proof
Step
Hyp
Ref
Expression
1
2nns
⊢
2
s
∈ ℕ
s
2
nnsno
⊢
( 2
s
∈ ℕ
s
→ 2
s
∈
No
)
3
1
2
ax-mp
⊢
2
s
∈
No