Theorem simp21 988

Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)

Assertion

Ref	Expression
simp21	|- ((ph /\ (ps /\ ch /\ th) /\ ta) -> ps)

Proof of Theorem simp21

Step	Hyp	Ref	Expression
1		simp1 955	. 2 |- ((ps /\ ch /\ th) -> ps)
2	1	3ad2ant2 977	1 |- ((ph /\ (ps /\ ch /\ th) /\ ta) -> ps)

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:  simpl21  1033  simpr21  1042  simp121  1087  simp221  1096  simp321  1105  sfinltfin  4536