Theorem bnj768 12705

Description: /\-manipulation.

Hypothesis

Ref	Expression
bnj768.1	|- ((th /\ ch /\ ps /\ ph) -> ta)

Assertion

Ref	Expression
bnj768	|- ((ph /\ ps /\ ch /\ th) -> ta)

Proof of Theorem bnj768

Step	Hyp	Ref	Expression
1		bnj704 12639	. 2 |- ((ph /\ ps /\ ch /\ th) -> (th /\ ch /\ ps /\ ph))
2		bnj768.1	. 2 |- ((th /\ ch /\ ps /\ ph) -> ta)
3	1, 2	syl 12	1 |- ((ph /\ ps /\ ch /\ th) -> ta)

Syntax hints:   -> wi 3   /\ syn-bnj17 12019

This theorem is referenced by:  bnj831 12785

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 164  df-an 242  df-3an 860  df-bnj17 12020

Copyright terms: Public domain