Database
SURREAL NUMBERS
Conway cut representation
Cuts and Options
newno
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madenod
Metamath Proof Explorer
Ascii
Structured
Theorem
newno
Description:
An element of a new set is a surreal.
(Contributed by
Scott Fenton
, 27-Feb-2026)
Ref
Expression
Assertion
newno
⊢
(
𝐴
∈ ( N ‘
𝐵
) →
𝐴
∈
No
)
Proof
Step
Hyp
Ref
Expression
1
newssno
⊢
( N ‘
𝐵
) ⊆
No
2
1
sseli
⊢
(
𝐴
∈ ( N ‘
𝐵
) →
𝐴
∈
No
)