Database
SURREAL NUMBERS
Subsystems of surreals
Natural numbers
n0sno
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nnsno
Metamath Proof Explorer
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Theorem
n0sno
Description:
A non-negative surreal integer is a surreal.
(Contributed by
Scott Fenton
, 15-Apr-2025)
Ref
Expression
Assertion
n0sno
⊢
A
∈
ℕ
0s
→
A
∈
No
Proof
Step
Hyp
Ref
Expression
1
n0ssno
⊢
ℕ
0s
⊆
No
2
1
sseli
⊢
A
∈
ℕ
0s
→
A
∈
No