Metamath Proof Explorer


Theorem mulslidd

Description: Surreal one is a left identity element for multiplication. (Contributed by Scott Fenton, 14-Mar-2025)

Ref Expression
Hypothesis mulslidd.1
|- ( ph -> A e. No )
Assertion mulslidd
|- ( ph -> ( 1s x.s A ) = A )

Proof

Step Hyp Ref Expression
1 mulslidd.1
 |-  ( ph -> A e. No )
2 mulslid
 |-  ( A e. No -> ( 1s x.s A ) = A )
3 1 2 syl
 |-  ( ph -> ( 1s x.s A ) = A )