Theorem bnj240

Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Hypotheses	bnj240.1	|- ( ps -> ps' )
	bnj240.2	|- ( ch -> ch' )
Assertion	bnj240	|- ( ( ph /\ ps /\ ch ) -> ( ps' /\ ch' ) )

Proof

Step	Hyp	Ref	Expression
1		bnj240.1	|- ( ps -> ps' )
2		bnj240.2	|- ( ch -> ch' )
3	1	3ad2ant1	|- ( ( ps /\ ch /\ ph ) -> ps' )
4	2	3ad2ant2	|- ( ( ps /\ ch /\ ph ) -> ch' )
5	3 4	jca	|- ( ( ps /\ ch /\ ph ) -> ( ps' /\ ch' ) )
6	5	3comr	|- ( ( ph /\ ps /\ ch ) -> ( ps' /\ ch' ) )