Theorem simpll3 945

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

Assertion

Ref	Expression
simpll3	|- ( ( ( ( ph /\ ps /\ ch ) /\ th ) /\ ta ) -> ch )

Proof of Theorem simpll3

Step	Hyp	Ref	Expression
1		simpl3 909	. 2 |- ( ( ( ph /\ ps /\ ch ) /\ th ) -> ch )
2	1	adantr 261	1 |- ( ( ( ( ph /\ ps /\ ch ) /\ th ) /\ ta ) -> ch )

Syntax hints:   -> wi 4   /\ wa 97   /\ w3a 885

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101

This theorem depends on definitions:  df-bi 110  df-3an 887

This theorem is referenced by:  frirrg  4087  fidceq  6330  fidifsnen  6331  ordiso2  6357  addlocpr  6634  aptiprlemu  6738  icoshftf1o  8859  fztri3or  8903  elfzonelfzo  9086  expival  9257  subcn2  9832