Theorem simp3rl 1055

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

Assertion

Ref	Expression
simp3rl	|- ( ( th /\ ta /\ ( ch /\ ( ph /\ ps ) ) ) -> ph )

Proof of Theorem simp3rl

Step	Hyp	Ref	Expression
1		simprl 521	. 2 |- ( ( ch /\ ( ph /\ ps ) ) -> ph )
2	1	3ad2ant3 1005	1 |- ( ( th /\ ta /\ ( ch /\ ( ph /\ ps ) ) ) -> ph )

Syntax hints:   -> wi 4   /\ wa 103   /\ w3a 963

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 965

This theorem is referenced by:  prarloc  7335  tgqioo  12755