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