Database
SURREAL NUMBERS
Subsystems of surreals
Integers
1zs
Next ⟩
znegscl
Metamath Proof Explorer
Ascii
Structured
Theorem
1zs
Description:
One is a surreal integer.
(Contributed by
Scott Fenton
, 24-Jul-2025)
Ref
Expression
Assertion
1zs
⊢
1
s
∈ ℤ
s
Proof
Step
Hyp
Ref
Expression
1
1n0s
⊢
1
s
∈ ℕ
0s
2
n0zs
⊢
( 1
s
∈ ℕ
0s
→ 1
s
∈ ℤ
s
)
3
1
2
ax-mp
⊢
1
s
∈ ℤ
s