Theorem mulslid

Description: Surreal one is a left identity element for multiplication. (Contributed by Scott Fenton, 4-Feb-2025)

	Ref	Expression
Assertion	mulslid	Could not format assertion : No typesetting found for |- ( A e. No -> ( 1s x.s A ) = A ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		1sno	Could not format 1s e. No : No typesetting found for |- 1s e. No with typecode |-
2		mulscom	Could not format ( ( 1s e. No /\ A e. No ) -> ( 1s x.s A ) = ( A x.s 1s ) ) : No typesetting found for |- ( ( 1s e. No /\ A e. No ) -> ( 1s x.s A ) = ( A x.s 1s ) ) with typecode |-
3	1 2	mpan	Could not format ( A e. No -> ( 1s x.s A ) = ( A x.s 1s ) ) : No typesetting found for |- ( A e. No -> ( 1s x.s A ) = ( A x.s 1s ) ) with typecode |-
4		mulsrid	Could not format ( A e. No -> ( A x.s 1s ) = A ) : No typesetting found for |- ( A e. No -> ( A x.s 1s ) = A ) with typecode |-
5	3 4	eqtrd	Could not format ( A e. No -> ( 1s x.s A ) = A ) : No typesetting found for |- ( A e. No -> ( 1s x.s A ) = A ) with typecode |-