Theorem addslid

Description: Surreal addition to zero is identity. (Contributed by Scott Fenton, 3-Feb-2025)

	Ref	Expression
Assertion	addslid	Could not format assertion : No typesetting found for |- ( A e. No -> ( 0s +s A ) = A ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		id	$$⊢A\in \mathrm{No}\to A\in \mathrm{No}$$
2		0sno	Could not format 0s e. No : No typesetting found for |- 0s e. No with typecode |-
3	2	a1i	Could not format ( A e. No -> 0s e. No ) : No typesetting found for |- ( A e. No -> 0s e. No ) with typecode |-
4	1 3	addscomd	Could not format ( A e. No -> ( A +s 0s ) = ( 0s +s A ) ) : No typesetting found for |- ( A e. No -> ( A +s 0s ) = ( 0s +s A ) ) with typecode |-
5		addsrid	Could not format ( A e. No -> ( A +s 0s ) = A ) : No typesetting found for |- ( A e. No -> ( A +s 0s ) = A ) with typecode |-
6	4 5	eqtr3d	Could not format ( A e. No -> ( 0s +s A ) = A ) : No typesetting found for |- ( A e. No -> ( 0s +s A ) = A ) with typecode |-