Theorem sopo

Description: A strict linear order is a strict partial order. (Contributed by NM, 28-Mar-1997)

	Ref	Expression
Assertion	sopo	|- ( R Or A -> R Po A )

Proof

Step	Hyp	Ref	Expression
1		df-so	|- ( R Or A <-> ( R Po A /\ A. x e. A A. y e. A ( x R y \/ x = y \/ y R x ) ) )
2	1	simplbi	|- ( R Or A -> R Po A )