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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.
This was on my backup gun but that was replaced with a galil and I found something I want.
It’s a factory made upper aside from the centurion m-lok hand guard I installed. Everything was torqued down to spec and blue locktight was used where recommended.
This is a socom profile barrel...
Bought this from a friend, only 2 mags through it. I’ve never shot it.
Midwest Industries Quadrail
Ballistic Advantage 16” Barrel
Ballistic Advantage gas block and tube
Odin Works BCG
Streamlight HL-X (NEW)
Magpul RVG (NEW)
Looking for $875, will ship on...
Rock River Arms complete A2 upper receiver w/ BCG & CH. Finish is overall good and shows normal wear. Mirror bore. Barrel is marked "5.56 Nato 1/9 CM". Has correct handguard and square A2 front sight post. Extended A2 flash hider. Free ship by UPS Ground in the PNW.
BCM Blem Uppers
These uppers are still apart of the free BCG promotion ($200 savings), and from the description only have a cosmetic blem on them so it would be a fantastic way to get into a BCM upper.
Just missing the charging handle from what I can tell.
I have a crate of 7N6 ammo (2160 rounds) PLUS a like new complete 5.45x39 upper with 2 C-mags for sale. Citadel barrel with a BCG that has been properly set up with a hardened extractor for the steel cased ammo plus an enhanced firing pin that alleviates soft strikes. Works with any standard AR...
Selling my BCM 16” Mid-length complete upper. All factory components professionally assembled and bought direct from Bravo Company. Barrel is cold hammer forged, and chrome lined, government profile. Less than 200 rounds fired through it. 15” MCMR handguard is in great shape no scratches. Same...
Aero upper and handguard vg6 delta mil spec charging handle 556 18” barrel rifle length gas system ran really smooth has about 100rds through it no bcg missing dust cover and forward assist was setup for spr type build but plans changed has some scuffs nothing major open to offers
Have for sale nib KAC 11.5" cqb complete upper with new 3.2 BCG. Never fired, absolutely zero salt, she's fresh.
Notched upper, includes sights, kac buffer, and and everything as sold from factory. Also have original box and packing.
Knightstick is sold.
Not looking for any trades at...
Selling my recently built Aero Precision FDE M4E1 complete upper receiver - taken out for function test (~30 rounds) & cleaned after. Worked perfect w/o any issues.
- Aero Precision M4E1 Upper Receiver - FDE
- Aero Precision Atlas S-ONE 9" FDE Handguard
- 12.3" Ballistic Advantage...
AR Parts - All New/unused unless mentioned
$95 - Ballistic Advantage BCG, Nitride (Less than 50 rounds) SOLD
$15 - Lancer 20 Round 5.56 Magazine, Black (NEW) SOLD
$50 - BCM Mod 4 Charging Handle (Less than 50 rounds) SOLD
$70 - Palmetto State BCG, Nitride (NEW)
$15 - Aero Precision...
Selling my Wolf A1 14.5 5.56 complete upper. Based on the T91 Service rifle for the Taiwanese Military. Handguard has been slightly modified to accommodate an Mlok Vertical foregrip, cantilever mount for mounting a weapon light, and a QD sling mount. Includes BCM grip, Cantilever...
I'm switching over completely to side-charging uppers, so all of my standard uppers are up for grabs. All have some wear markings, as they have been used. All have <1k rounds through them (many <500). All are complete w/ BCG & CH unless otherwise specified. Asking $280 each, or best offer. In no...
This is a 8.5in barrel with a 10.5in handguard. Less than 100rds through it. Includes the following:
Bolt carrier group
Vortex Sparc II Red Dot
Magpul sling mount
Magpul angled foregrip
*Does NOT include mounted optic or flashlight.
I have a lightly used 10.5in PSA 5.56 pistol upper with a 8.5 slant M-LOK handguard. In great shape, need money for another project. Asking $250 OBO.
Bolt Carrier Group
Feyachi RDS-22 Red Dot Sight
Feyachi Weapon light and Charger
For sale here is a 20 inch upper from Palmetto state. It includes a nitride bcg and milspec charging handle, rifle length gas system.
It's in great shape and has been barely used, it's from a build that I never really shot, has about 300 rounds or less through it.
Original owner, used once Colt EPR complete upper with 14.5" chrome lined barrel, Centurion Arms CMR handguard, Colt upper receiver and Colt BCG/charging handle. I bought a batch of these a few months ago but want to unload a couple before moving. This one was zeroed and tested once (20-30...