Local Arguments getThreadR {_} {_} {_} _ _ _.
Local Arguments getThreadC {_} {_} {_} _ _ _.
Local Arguments personal_mem : clear implicits.
Local Arguments updThread {_} {_} {_} _ _ _ _ _.
Local Arguments updThreadR {_} {_} {_} _ _ _ _.
Local Arguments updThreadC {_} {_} {_} _ _ _ _.
Local Arguments juicyRestrict : clear implicits.
Set Bullet Behavior "Strict Subproofs".

Lemma rmap_bound_join {b phi1 phi2 phi3} :
join phi1 phi2 phi3 ->
rmap_bound b phi3 ->
rmap_bound b phi2.