Theorem simprr3 1047

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

Assertion

Ref	Expression
simprr3	|- ( ( ta /\ ( th /\ ( ph /\ ps /\ ch ) ) ) -> ch )

Proof of Theorem simprr3

Step	Hyp	Ref	Expression
1		simpr3 1005	. 2 |- ( ( th /\ ( ph /\ ps /\ ch ) ) -> ch )
2	1	adantl 277	1 |- ( ( ta /\ ( th /\ ( ph /\ ps /\ ch ) ) ) -> ch )

Syntax hints:   -> wi 4   /\ wa 104   /\ w3a 978

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108

This theorem depends on definitions:  df-bi 117  df-3an 980

This theorem is referenced by:  mullocpr  7545  icodiamlt  11155  summodc  11357  prodmodc  11552