Theorem simp333 1110

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Assertion

Ref	Expression
simp333	|- ((et /\ ze /\ (th /\ ta /\ (ph /\ ps /\ ch))) -> ch)

Proof of Theorem simp333

Step	Hyp	Ref	Expression
1		simp33 993	. 2 |- ((th /\ ta /\ (ph /\ ps /\ ch)) -> ch)
2	1	3ad2ant3 978	1 |- ((et /\ ze /\ (th /\ ta /\ (ph /\ ps /\ ch))) -> ch)

Syntax hints:   -> wi 4   /\ w3a 934

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 177  df-an 360  df-3an 936

This theorem is referenced by: (None)