Theorem simp-8r 751

Description: Simplification of a conjunction. (Contributed by Mario Carneiro, 4-Jan-2017.)

Assertion

Ref	Expression
simp-8r	|- (((((((((ph /\ ps) /\ ch) /\ th) /\ ta) /\ et) /\ ze) /\ si) /\ rh) -> ps)

Proof of Theorem simp-8r

Step	Hyp	Ref	Expression
1		simp-7r 749	. 2 |- ((((((((ph /\ ps) /\ ch) /\ th) /\ ta) /\ et) /\ ze) /\ si) -> ps)
2	1	adantr 451	1 |- (((((((((ph /\ ps) /\ ch) /\ th) /\ ta) /\ et) /\ ze) /\ si) /\ rh) -> ps)

Syntax hints:   -> wi 4   /\ wa 358

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

This theorem is referenced by:  simp-9r  753