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Metamath Proof Explorer

Theorem pm2.5g

Description: General instance of Theorem *2.5 of WhiteheadRussell p. 107. (Contributed by NM, 3-Jan-2005) (Proof shortened by Wolf Lammen, 9-Oct-2012)

		Ref	Expression
	Assertion	pm2.5g	\|- ( -. ( ph -> ps ) -> ( -. ph -> ch ) )

Proof

Step	Hyp	Ref	Expression
1		simplim	\|- ( -. ( ph -> ps ) -> ph )
2	1	pm2.24d	\|- ( -. ( ph -> ps ) -> ( -. ph -> ch ) )