Theorem simpl3l 1047

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

Assertion

Ref	Expression
simpl3l	|- ( ( ( ch /\ th /\ ( ph /\ ps ) ) /\ ta ) -> ph )

Proof of Theorem simpl3l

Step	Hyp	Ref	Expression
1		simp3l 1020	. 2 |- ( ( ch /\ th /\ ( ph /\ ps ) ) -> ph )
2	1	adantr 274	1 |- ( ( ( ch /\ th /\ ( ph /\ ps ) ) /\ ta ) -> ph )

Syntax hints:   -> wi 4   /\ wa 103   /\ w3a 973

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107

This theorem depends on definitions:  df-bi 116  df-3an 975

This theorem is referenced by:  tfisi  4571  ltmul1a  8510  ltmul1  8511  lemul1a  8774  xaddass  9826  dvdsadd2b  11802  pockthg  12309