pub proof fn pop_back_embedded<M: AnyFrameMeta + Repr<MetaSlotSmall>>(tracked
regions: &mut MetaRegionOwners,
tracked owner: &mut LinkedListOwner<M>,
) -> tracked frame_own : UniqueFrameOwner<Link<M>>Expand description
requires
old(regions).inv(),old(owner).inv(),old(owner).relate_region(*old(regions)),old(owner).list.len() > 0,ensuresfinal(regions).inv(),final(owner).inv(),final(owner).relate_region(*final(regions)),final(owner).list == old(owner).list.remove(old(owner).list.len() - 1),final(owner).list_id == old(owner).list_id,frame_own.inv(),frame_own.global_inv(*final(regions)),frame_own.frame_link_inv(*final(regions)),frame_own.slot_index == old(owner).slot_index_at(old(owner).list.len() - 1),final(regions).slot_owners[frame_own.slot_index].inner_perms.in_list.value() == 0,final(regions).frame_obligations
=~= old(regions)
.frame_obligations
.insert(old(owner).slot_index_at(old(owner).list.len() - 1)),forall |j: usize| {
j != old(owner).slot_index_at(old(owner).list.len() - 1)
&& (old(owner).list.len() > 1
==> j != old(owner).slot_index_at(old(owner).list.len() - 2))
==> final(regions).slots[j] == old(regions).slots[j]
&& final(regions).slot_owners[j] == old(regions).slot_owners[j]
},forall |l: LinkedListOwner<M>| {
l.inv() && l.relate_region(*old(regions)) && l.list_id != final(owner).list_id
==> l.relate_region(*final(regions))
},list_registry_ok(*final(regions), *final(owner)),forall |l: LinkedListOwner<M>| {
l.inv() && l.relate_region(*old(regions)) && list_registry_ok(*old(regions), l)
&& l.list_id != final(owner).list_id ==> list_registry_ok(*final(regions), l)
},forall |fo: UniqueFrameOwner<Link<M>>| {
fo.global_inv(*old(regions)) && fo.frame_link_inv(*old(regions))
&& old(regions).slot_owners[fo.slot_index].inner_perms.in_list.value() == 0
==> fo.global_inv(*final(regions)) && fo.frame_link_inv(*final(regions))
&& final(regions).slot_owners[fo.slot_index].inner_perms.in_list.value() == 0
&& fo.slot_index != old(owner).slot_index_at(old(owner).list.len() - 1)
},Trusted reflection of the (verified) crate::mm::frame::LinkedList::pop_back.
Identical to pop_front_embedded except the last link is popped
(touching the back neighbour at slot_index_at(len - 2)).