Database
SURREAL NUMBERS
Subsystems of surreals
Natural numbers
nnsno
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n0snod
Metamath Proof Explorer
Ascii
Structured
Theorem
nnsno
Description:
A positive surreal integer is a surreal.
(Contributed by
Scott Fenton
, 15-Apr-2025)
Ref
Expression
Assertion
nnsno
⊢
(
𝐴
∈ ℕ
s
→
𝐴
∈
No
)
Proof
Step
Hyp
Ref
Expression
1
nnssno
⊢
ℕ
s
⊆
No
2
1
sseli
⊢
(
𝐴
∈ ℕ
s
→
𝐴
∈
No
)