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In mathematics, the least-upper-bound property (sometimes the completeness or supremum property) is a fundamental property of the real numbers and certain other ordered sets. A set X has the least-upper-bound property if and only if every non-empty subset of X with an upper bound has a least upper bound (supremum) in X.
The least-upper-bound property is one form of the completeness axiom for the real numbers, and is sometimes referred to as Dedekind completeness. It can be used to prove many of the fundamental results of real analysis, such as the intermediate value theorem, the Bolzano–Weierstrass theorem, the extreme value theorem, and the Heine–Borel theorem. It is usually taken as an axiom in synthetic constructions of the real numbers (see least upper bound axiom), and it is also intimately related to the construction of the real numbers using Dedekind cuts.
In order theory, this property can be generalized to a notion of completeness for any partially ordered set. A linearly ordered set that is dense and has the least upper bound property is called a linear continuum.
I've got a BNIB in complete Glock 20 Gen 4 lower. This will include box, manual, cleaning rod etc. and 1 15 round 10mm magamzine along with a Safariland ALS/SLS level 3 double retention holster. Frames are identical between the Glock 20 10mm and 21 .45 ACP so this could be used with either...
I've got a brand new unfired, mil spec complete lower for sale. I guess not, 100% complete technically because it doesn't have a stock. But other than that it is ready to go. Anderson lower. $120. **Will be in Portland/Vancouver tomorrow March 20th and can meet a potential buyer.**
Like new-old school RRA LAR-15 lower, complete. All RRA springs and detents. BCM PNT trigger. BCM carbine buffer, LMt trigger guard, Geissele maritime bolt catch. Comes with a BCM pistol grip. (Very clean) properly torqued and staked. Built as a “AR pistol,” has only ever been SBA3 braced. Text...
This is a factory RRA lower with a few upgrades, it has a BCM grip, a Geissele bolt catch, a BCM PNT (Nickel Teflon) trigger, an LMT trigger guard. It was built as an AR pistol lower, so it is ready for a brace snd a pistol length upper, if desired. It is in near mint condition, I’d grade it an...
Acquired for an “HRT” clone build, includes an LMT winterized trigger guard. BCM carbine buffer and spring(Bcm.) BCM polished nickel Teflon single stage Trigger group. All parts are original RRA from >10 years ago. Crisp safety. In spec lower. BCM grip, but I have Magpul grips and other options...
Complete lower from adm in like new condition. These lowers are the best full ambi lowers on the market imo. True full ambi billet lower, radian ambi safety selector, geissele G2S trigger, magpul stock and will come with magpul pistol brace. One of the biggest selling points for me was the ADM...
6920 Take off
Maritime Bolt Catch
Radian Ambi Safety
B5 Sopmod Enhanced
If shipping, your FFL must accept transfers from a individual. Local FFL will be Pantel Tactical in Renton, WA.
For Sale: Complete Lower Receiver - Good Condition, around 400-500 rounds using this - ready to shoot. Finally got my Aero M4 so I am selling this. Price is $200 OBO - open to reasonable offers. I live in King county, have an FFL I like in Bellevue, but am willing to meet at FFL within a...
Price lowered to $160 OBO.
For Sale: Complete Lower Receiver - Good Condition, around 400-500 rounds using this - ready to shoot. Finally got my Aero M4 so I am selling this. Price is $170 OBO - open to reasonable offers. I live in King county, have an FFL I like in Bellevue, but...
Bought enough for 2 builds. Selling the extras. The items in this listing are new, unless marked as used.
Aero EPC-9 receiver set with complete lower.
Aero EPC Upper
Aero EPC Lower
Aero EPC 7.7oz Buffer
Aero M5 Carbine Spring
Aero Buffer Tube, End Plate, Castle Nut
JBO Enhanced Billet Lower
RRA LPRK, Single Stage Trigger
Aero H Buffer Kit
Battle Arms Safety
PayPal or Venmo, no notes.
Your FFL MUST accept transfers from a individual. No trades, not parting out.
JBO Enhanced Billet Lower
Aero Precision Gen 2 model X15 Complete Lower Receiver w/out stock
New. Zero round count. No box. No stock. No brace. No damage.
Add a brace and make it a pistol. Or add a stock and make it a rifle.
Includes pre-installed lower parts kit, carbine buffer, carbine spring, milspec tube, staked...
Complete Minus Trigger! However I can send with trigger springs I was planning on doing a drop in.
Ar10 lower CAR-10 XH -last photo is for the buffer and spring in case you wanted to know more.
Bcm ar buffer tube kit m nut rear plate
Magpul MEO plus
Aero Precision LPK W/O trigger
Complete Aero M4E1 Lower Receiver - New
Brand new/ unfired/ zero rounds.
Mil-spec tube, ready for your stock or your brace.
Small blem, see pic 4. No dings, no scratches.
$220. Face to face. Buyer pays ffl fees. Preferred ffl is Tick Licker Firearms in Salem. May travel within...
I have a complete lower for sale. It started as a stripped aero m4e1 lower so it can be a rifle or pistol(if you swapped out the stock). It’s has only been taken out once to test function. It functioned perfectly with no issues. All you need to do is slap on a complete upper and you are good to...