Definition juicyRestrict {phi:rmap}{m:Mem.mem}(coh:access_cohere' m phi): Mem.mem:=
      restrPermMap (juice2Perm_cohere coh).Definition juicyRestrict_locks {phi:rmap}{m:Mem.mem}(coh:max_access_cohere m phi): Mem.mem:=
      restrPermMap (juice2Perm_locks_cohere coh).

Lemma juicyRestrictAllocCoh: forall phi m (coh:access_cohere' m phi) (ccoh:alloc_cohere m phi), alloc_cohere (juicyRestrict coh) phi.