Theorem simp2r3 1059

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

Assertion

Ref	Expression
simp2r3	|- ((ta /\ (th /\ (ph /\ ps /\ ch)) /\ et) -> ch)

Proof of Theorem simp2r3

Step	Hyp	Ref	Expression
1		simpr3 963	. 2 |- ((th /\ (ph /\ ps /\ ch)) -> ch)
2	1	3ad2ant2 977	1 |- ((ta /\ (th /\ (ph /\ ps /\ ch)) /\ et) -> ch)

Syntax hints:   -> wi 4   /\ wa 358   /\ 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)