Database
SURREAL NUMBERS
Subsystems of surreals
Ordinal numbers
onsno
Next ⟩
0ons
Metamath Proof Explorer
Ascii
Structured
Theorem
onsno
Description:
A surreal ordinal is a surreal.
(Contributed by
Scott Fenton
, 18-Mar-2025)
Ref
Expression
Assertion
onsno
⊢
(
𝐴
∈ On
s
→
𝐴
∈
No
)
Proof
Step
Hyp
Ref
Expression
1
onssno
⊢
On
s
⊆
No
2
1
sseli
⊢
(
𝐴
∈ On
s
→
𝐴
∈
No
)