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Metamath Proof Explorer

Theorem exbiri

Description: Inference form of exbir . This proof is exbiriVD automatically translated and minimized. (Contributed by Alan Sare, 31-Dec-2011) (Proof shortened by Wolf Lammen, 27-Jan-2013)

		Ref	Expression
	Hypothesis	exbiri.1	\|- ( ( ph /\ ps ) -> ( ch <-> th ) )
	Assertion	exbiri	\|- ( ph -> ( ps -> ( th -> ch ) ) )

Proof

Step	Hyp	Ref	Expression
1		exbiri.1	\|- ( ( ph /\ ps ) -> ( ch <-> th ) )
2	1	biimpar	\|- ( ( ( ph /\ ps ) /\ th ) -> ch )
3	2	exp31	\|- ( ph -> ( ps -> ( th -> ch ) ) )