Theorem simpl31 1036

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

Assertion

Ref	Expression
simpl31	|- (((th /\ ta /\ (ph /\ ps /\ ch)) /\ et) -> ph)

Proof of Theorem simpl31

Step	Hyp	Ref	Expression
1		simp31 991	. 2 |- ((th /\ ta /\ (ph /\ ps /\ ch)) -> ph)
2	1	adantr 451	1 |- (((th /\ ta /\ (ph /\ ps /\ ch)) /\ et) -> ph)

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:  tfin11  4494