Metamath Proof Explorer


Theorem mulsridd

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

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

Proof

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