Theorem simpl22 1034

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

Assertion

Ref	Expression
simpl22	|- (((th /\ (ph /\ ps /\ ch) /\ ta) /\ et) -> ps)

Proof of Theorem simpl22

Step	Hyp	Ref	Expression
1		simp22 989	. 2 |- ((th /\ (ph /\ ps /\ ch) /\ ta) -> ps)
2	1	adantr 451	1 |- (((th /\ (ph /\ ps /\ ch) /\ ta) /\ et) -> ps)

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)