Theorem bnj708 30826

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

Hypothesis

Ref	Expression
bnj708.1	|- ( th -> ta )

Assertion

Ref	Expression
bnj708	|- ( ( ph /\ ps /\ ch /\ th ) -> ta )

Proof of Theorem bnj708

Step	Hyp	Ref	Expression
1		bnj645 30820	. 2 |- ( ( ph /\ ps /\ ch /\ th ) -> th )
2		bnj708.1	. 2 |- ( th -> ta )
3	1, 2	syl 17	1 |- ( ( ph /\ ps /\ ch /\ th ) -> ta )

Syntax hints:   -> wi 4   /\ w-bnj17 30752

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386  df-bnj17 30753

This theorem is referenced by:  bnj1254  30880  bnj999  31027  bnj1001  31028  bnj1006  31029  bnj1049  31042  bnj1121  31053  bnj1145  31061  bnj1154  31067