Database
SURREAL NUMBERS
Subsystems of surreals
Real numbers
renod
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recut
Metamath Proof Explorer
Ascii
Unicode
Theorem
renod
Description:
A surreal real is a surreal number.
(Contributed by
Scott Fenton
, 19-Feb-2026)
Ref
Expression
Hypothesis
renod.1
⊢
φ
→
A
∈
ℝ
s
Assertion
renod
⊢
φ
→
A
∈
No
Proof
Step
Hyp
Ref
Expression
1
renod.1
⊢
φ
→
A
∈
ℝ
s
2
reno
⊢
A
∈
ℝ
s
→
A
∈
No
3
1
2
syl
⊢
φ
→
A
∈
No