Theorem ssltss1

Description: The first argument of surreal set is a set of surreals. (Contributed by Scott Fenton, 8-Dec-2021)

	Ref	Expression
Assertion	ssltss1	|- ( A < A C_ No )

Proof

Step	Hyp	Ref	Expression
1		brsslt	|- ( A < ( ( A e. _V /\ B e. _V ) /\ ( A C_ No /\ B C_ No /\ A. x e. A A. y e. B x
2		simpr1	|- ( ( ( A e. _V /\ B e. _V ) /\ ( A C_ No /\ B C_ No /\ A. x e. A A. y e. B x A C_ No )
3	1 2	sylbi	|- ( A < A C_ No )