Theorem ssltsn

Description: Surreal set less-than of two singletons. (Contributed by Scott Fenton, 17-Mar-2025)

	Ref	Expression
Hypotheses	ssltsn.1	|- ( ph -> A e. No )
	ssltsn.2	|- ( ph -> B e. No )
	ssltsn.3	|- ( ph -> A
Assertion	ssltsn	|- ( ph -> { A } <

Proof

Step	Hyp	Ref	Expression
1		ssltsn.1	|- ( ph -> A e. No )
2		ssltsn.2	|- ( ph -> B e. No )
3		ssltsn.3	|- ( ph -> A
4	1 2	ssltsnb	|- ( ph -> ( { A } < A
5	3 4	mpbird	|- ( ph -> { A } <