Metamath Proof Explorer


Theorem divs1d

Description: A surreal divided by one is itself. Deduction version. (Contributed by Scott Fenton, 27-Feb-2026)

Ref Expression
Hypothesis divs1d.1 φ A No
Assertion divs1d φ A / su 1 s = A

Proof

Step Hyp Ref Expression
1 divs1d.1 φ A No
2 divs1 A No A / su 1 s = A
3 1 2 syl φ A / su 1 s = A