Theorem biimpi

Description: Infer an implication from a logical equivalence. Inference associated with biimp . (Contributed by NM, 29-Dec-1992)

	Ref	Expression
Hypothesis	biimpi.1	|- ( ph <-> ps )
Assertion	biimpi	|- ( ph -> ps )

Proof

Step	Hyp	Ref	Expression
1		biimpi.1	|- ( ph <-> ps )
2		biimp	|- ( ( ph <-> ps ) -> ( ph -> ps ) )
3	1 2	ax-mp	|- ( ph -> ps )