Theorem bnj626 12642

Description: /\-manipulation.

Hypothesis

Ref	Expression
bnj626.1	|- ((ch /\ ps) -> ta)

Assertion

Ref	Expression
bnj626	|- ((ph /\ ps /\ ch) -> ta)

Proof of Theorem bnj626

Step	Hyp	Ref	Expression
1		bnj626.1	. . 3 |- ((ch /\ ps) -> ta)
2	1	ancoms 484	. 2 |- ((ps /\ ch) -> ta)
3	2	3adant1 894	1 |- ((ph /\ ps /\ ch) -> ta)

Syntax hints:   -> wi 3   /\ wa 240   /\ w3a 858

This theorem is referenced by:  bnj843 12717

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

Copyright terms: Public domain