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
|- ( ph -> A e. No )
Assertion divs1d
|- ( ph -> ( A /su 1s ) = A )

Proof

Step Hyp Ref Expression
1 divs1d.1
 |-  ( ph -> A e. No )
2 divs1
 |-  ( A e. No -> ( A /su 1s ) = A )
3 1 2 syl
 |-  ( ph -> ( A /su 1s ) = A )