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constructiveproof

constructive proof

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There are 17 letters in CONSTRUCTIVEPROOF ( C3E1F4I1N1O1P3R1S1T1U1V4 )

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13 letters out of CONSTRUCTIVEPROOF

12 letters out of CONSTRUCTIVEPROOF

8 letters out of CONSTRUCTIVEPROOF

CENTRIST CINCTURE CITREOUS CITTERNS COCONUTS COCOTTES COERCION COINFECT COINFERS COINSURE COINTERS CONCEITS CONCEPTI CONCEPTS CONCERTI CONCERTO CONCERTS CONCISER CONCOURS CONFECTS CONFETTI CONFETTO CONFUTER CONFUTES CONIFERS CONSPIRE CONSTRUE CONTORTS CONTOURS CONTRITE CONTRIVE CONVECTS CONVERSO CONVERTS CONVICTS COONTIES COOPTION COPRINCE CORNEOUS CORNICES CORNIEST CORNUTOS CORONERS CORONETS CORRECTS CORRUPTS CORTICES COSCRIPT COTTIERS COUNTERS COUNTIES COURIERS COURTERS COURTIER COVERUPS COVETOUS CRITTERS CRITTURS CROCEINS CROCOITE CROFTERS CROONERS CROSTINO CROUPIER CROUTONS CRUCIFER CRUSTIER CUPRITES CURRENTS CURVIEST CUTOVERS ECOTOURS ENTROPIC ERUPTION EVICTORS FERVOURS FIREPOTS FISTNOTE FOOTIEST FOOTNOTE FOOTREST FOOTROPE FOOTSORE FOOTSTEP FORCIPES FORENSIC FORERUNS FORETOPS FORNICES FORSPENT FORTUNES FRITTERS FRONTIER FROSTIER FROSTNIP FROTTEUR FROUNCES FRUCTOSE FRUITERS FUNCTORS FURRIEST INCEPTOR INCORPSE INCURVES INFECTOR INPUTTER INSTRUCT INTERCUT INTRORSE INVERTOR INVESTOR NECROTIC NEPOTIST NEUROTIC NOTICERS OCCIPUTS OCCUPIER OCCUPIES OOSPORIC OTOSCOPE OUTCRIES OUTCROPS OUTFIRES OUTFOOTS OUTPOINT OUTPORTS OUTPRICE OUTROOTS OUTSCOOP OUTSCORE OUTSCORN OUTSNORE OUTSPENT OUTSTRIP OUTVOICE OUTVOTES OVERCROP OVERCUTS OVERRUNS OVERSOFT OVERSOON OVERSPIN OVERSTIR OVERTIPS OVERTOPS OVERTURN PECORINO PERVIOUS PICTURES PIECRUST PIEFORTS PIERROTS POINTERS POISONER POOFTERS PORNIEST PORTENTS PORTICOS PORTIONS POSITRON POSTFIRE POSTRIOT POSTURER POTSTONE POUNCERS POUTIEST POUTINES PRECINCT PRECIOUS PREFOCUS PREVIOUS PREVISOR PRINTERS PRINTOUT PRISONER PROCTORS PROCURES PROFITER PROOFERS PROTECTS PROTEINS PROTONIC PROVINCE PROVIRUS PRUINOSE PRURIENT PUCCOONS PURTIEST PUTTIERS RECOUNTS RECRUITS REFRONTS REINCURS REOCCURS REOUTFIT REOVIRUS REPRINTS REPROOFS RESCRIPT RESORCIN RESPROUT RESTRICT RETROFIT ROOFTOPS ROOTIEST ROSEROOT ROTIFERS ROUPIEST ROUTINES RUCTIONS RUNOVERS RUNTIEST SCORPION SCOTOPIC SCRIPTER SCURFIER SCURVIER SERVITOR SNOOPIER SNOOTIER SNOTTIER SNOUTIER SOFTCORE SORPTION SORPTIVE SOUVENIR SPITTOON SPOONIER SPORTIER SPORTIVE SPOTTIER SPRINTER SPRUCIER STENOTIC STOPOVER STOTINOV STRICTER STRONTIC STUCCOER SUCCORER SUNPROOF SUPERIOR SURPRINT TECTONIC TENORIST TINCTURE TONETICS TOPSTONE TOREUTIC TORRENTS TORTIOUS TORTOISE TORTONIS TORTURES TRICORNE TRICORNS TRITONES TROOPERS TROPINES TROUNCER TROUNCES TROUPERS TROUTIER TRUSTIER TURFIEST TURNOVER TURNSPIT UNCOVERS UNEROTIC UNPOETIC UNRIPEST UNVOICES UPRIVERS UPROOTER VENTURIS VIPEROUS VIRTUOSE VIRTUOSO VISCOUNT VITREOUS VORTICES

7 letters out of CONSTRUCTIVEPROOF

CENTRIC CEROTIC CICEROS CIRROSE CIRROUS CISTERN CISTRON CITRONS CITROUS CITTERN COCONUT COCOONS COCOTTE COENURI COINERS COINFER COINTER CONCEIT CONCEPT CONCERT CONCISE CONCURS CONFECT CONFERS CONFITS CONFUSE CONFUTE CONIFER CONSORT CONTEST CONTORT CONTOUR CONTUSE CONVECT CONVERT CONVICT COONTIE COOPERS COOTERS COOTIES COPIERS COPIOUS COPOUTS COPTERS CORNERS CORNETS CORNICE CORNIER CORNUTE CORNUTO CORONER CORONET CORRECT CORRIES CORRUPT CORTINS CORVETS CORVINE COSTIVE COTTERS COTTIER COTTONS COUNTER COUPONS COURIER COURSER COURTER COUTERS COVERTS COVERUP CREPONS CRETICS CRETINS CRISPEN CRISPER CRITTER CRITTUR CROCEIN CROCINE CROFTER CRONIES CROONER CROSIER CROTONS CROUPES CROUTES CROUTON CRUISER CUPRITE CURITES CURRENT CURRIES CURSIVE CURTEST CURVETS CURVIER CUTOVER CUTTERS CUTTIES ECOTOUR ECTOPIC EFTSOON ENCRUST ENROOTS ENTOPIC ENTRUST ENVIOUS ENVIROS EROSION EROTICS EVICTOR FERROUS FERVORS FERVOUR FESTOON FIREPOT FITTERS FOCUSER FOETORS FOOTERS FOOTIER FOOTIES FOOTSIE FORCEPS FORCERS FORERUN FORETOP FORINTS FORTIES FORTUNE FRISEUR FRITTER FRONTER FRONTES FROUNCE FRUITER FUNCTOR FURIOSO FURORES FURTIVE FUSTIER ICTERUS INCEPTS INCRUST INCURVE INFECTS INFUSER INPOURS INSPECT INSURER INTORTS INTRUST INVERTS IRONERS IRRUPTS ISOTONE ISOTOPE NEPOTIC NERVOUS NEUSTIC NITROSO NITROUS NIVEOUS NORITES NOTICER NOTICES NOVICES NUTSIER NUTTERS NUTTIER OCCIPUT OCTOPUS OCTROIS OESTRIN ONEROUS OOSPORE OPERONS OPSONIC OPTIONS ORCEINS ORECTIC ORIENTS ORPINES ORRICES OUTCROP OUTFIRE OUTFITS OUTFOOT OUTPORT OUTPOST OUTROOT OUTSERT OUTVIES OUTVOTE OVERCUT OVERFIT OVERRUN OVERSUP OVERTIP OVERTOP OVONICS PECTINS PERITUS PERRONS PETROUS PICEOUS PICTURE PIEFORT PIERROT PINCERS PINTOES PITEOUS POCOSEN POCOSIN POCOSON POETICS POINTER POINTES POOFTER POOREST PORCINE PORCINO PORNIER PORRECT PORTENT PORTERS PORTICO PORTION POSTERN POSTURE POTIONS POTTERS POTTIER POTTIES POUNCER POUNCES POURERS POUTERS POUTIER POUTINE PRECUTS PRERIOT PRESIFT PRESORT PRETORS PRICERS PRINCES PRINTER PRIVETS PROCTOR PROCURE PROFITS PROFUSE PROOFER PROSECT PROSIER PROSTIE PROTECT PROTEIN PROTEST PROTEUS PROTIST PROTONS PROVERS PROVISO PROVOST PRUNERS PTERINS PUCCOON PUNIEST PUNSTER PUNTERS PUNTIES PURINES PURSIER PURTIER PUTTERS PUTTIER PUTTIES RECOINS RECOUNT RECOUPS RECRUIT RECTORS REFOCUS REFRONT REINCUR RENVOIS REOCCUR REPORTS REPOSIT REPOURS REPRINT REPROOF REROOFS RETINTS RETORTS RETURNS REVISOR REVUIST RIOTERS RIOTOUS RIPOSTE RISOTTO RITTERS ROCOCOS ROISTER ROOFERS ROOFIES ROOFTOP ROOSTER ROOTERS ROOTIER ROPIEST ROTIFER ROTTERS ROUPIER ROUSTER ROUTERS ROUTINE RUCTION RUINERS RUNOVER RUNTIER RUSTIER RUTTIER SCEPTIC SCOOPER SCOOTER SCORNER SCOTTIE SCOURER SCOUTER SCUTTER SECTION SIROCCO SNIFTER SNOOPER SNORTER SOOTIER SOUPCON SOUPIER SPINOUT SPITTER SPOOFER SPORTER SPORTIF SPOTTER SPOUTER SPRUCER SPURNER SPURTER SPUTTER STENTOR STERTOR STINTER STIRRUP STONIER STOOPER STOURIE STOUTEN STOUTER STRIPER STRIVEN STRIVER STUIVER SUCTION SUNROOF SURFEIT SURFIER TENOURS TENUTOS TERRITS TESTOON TICTOCS TINTERS TIPSTER TIPTOES TITFERS TONETIC TONIEST TONSURE TOONIES TOOTERS TOOTSIE TOREROS TORPORS TORRENT TORSION TORTONI TORTURE TOURERS TOURIST TOUTERS TRICEPS TRICORN TRICOTS TRISECT TRITONE TRITONS TRIUNES TRIVETS TROOPER TROPICS TROPINE TROPINS TROUNCE TROUPER TROUPES TROUSER TROVERS TRUSTER TRUSTOR TUFTERS TUFTIER TURFIER TURIONS TURNERS TURNIPS TURRETS UNCOVER UNITERS UNRIPER UNROOFS UNROOTS UNVOICE UPFRONT UPRISEN UPRISER UPRIVER UPROOTS URINOSE UTOPIST VECTORS VENTURI VERSION VICTORS VIRTUES VOICERS

6 letters out of CONSTRUCTIVEPROOF

CENSOR CENTOS CERCIS CERCUS CEROUS CESTOI CICERO CIRCUS CIRRUS CITERS CITRON CITRUS CIVETS COCOON COINER COITUS CONCUR CONFER CONFIT CONICS CONIES CONTES CONTOS COOERS COOPER COOPTS COOTER COOTIE COPENS COPERS COPIER COPIES COPOUT COPTER CORERS CORNER CORNET CORNUS CORPSE CORPUS CORRIE CORSET CORTIN CORVES CORVET COSIER COSINE COSTER COTTER COTTON COUNTS COUPES COUPON COURSE COURTS COUSIN COUTER COVENS COVERS COVERT COVETS COVINS CREPON CRETIC CRETIN CRIERS CRIPES CROCUS CROFTS CRONES CROONS CRORES CROTON CROUPE CROUPS CROUSE CROUTE CRUCES CRUETS CRUISE CRUORS CRUSET CUPRIC CURERS CURETS CURIES CURIOS CURITE CURRIE CURSER CURSOR CURTER CURVES CURVET CUTEST CUTIES CUTINS CUTTER ENROOT ENVIRO ENVOIS EROTIC ERUCTS ERUPTS ESCORT ESPRIT ESTRIN EVICTS FEINTS FERRIC FERVOR FETORS FICOES FINEST FIRERS FITTER FIVERS FOETOR FOETUS FOISON FOOTER FOOTIE FORCER FORCES FOREST FORINT FORRIT FORTES FORTIS FOSTER FOUNTS FRESCO FRIERS FRITES FRITTS FRONTS FRUITS FUCOSE FUNEST FURIES FURORE FURORS FUSION FUSTIC FUTONS ICONES INCEPT INCEST INCURS INCUSE INERTS INFECT INFERS INFEST INFUSE INPOUR INPUTS INSECT INSERT INSTEP INSURE INTERS INTORT INTROS INURES INVERT INVEST IRONER IRONES IRRUPT NESTOR NETOPS NICEST NITERS NITRES NITROS NOETIC NOOSER NORITE NOSIER NOSTOC NOTERS NOTICE NOVICE NURSER NUTTER OCCURS OCTETS OCTOPI OCTROI OFTEST OPERON OPINES OPTICS OPTION ORCEIN ORCINS ORIENT ORISON ORPINE ORPINS ORRICE OSCINE OTIOSE OTTERS OUNCES OUSTER OUTERS OUTFIT OUTSET OUTSIN OUTSIT OUTVIE OVINES OVONIC PECTIC PECTIN PERNIO PERRON PERSON PICOTS PINCER PINOTS PINTOS PISTON PISTOU PITONS PIVOTS POETIC POINTE POINTS POISER POISON PONCES PONIES PONTES POORER POORIS POOVES PORNOS POROSE POROUS PORTER POSEUR POSTER POSTIE POSTIN POTENT POTION POTSIE POTTER POTTOS POUNCE POURER POUTER PRECIS PRECUT PRESTO PRETOR PRICER PRICES PRIERS PRIEST PRINCE PRINTS PRIONS PRIORS PRISON PRIVET PROFIT PRONTO PROOFS PROSER PROSIT PROTEI PROTON PROVEN PROVER PROVES PRUNER PRUNES PRUTOT PTERIN PTOTIC PUISNE PUNIER PUNTER PUNTOS PUREST PURINE PURINS PURIST PURSER PUTONS PUTTER PUTTIE RECITS RECOIN RECONS RECOUP RECTOR RECTOS RECTUS RECURS RECUTS REFITS RENVOI REPINS REPORT REPOTS REPOUR REPROS REROOF RERUNS RESIFT RESORT RESPOT RETINT RETORN RETORT RETROS RETURN RICERS RICTUS RIFEST RINSER RIOTER RIPENS RIPEST RIPOST RITTER RIVERS RIVETS ROCOCO ROOFER ROOFIE ROOSER ROOTER ROPERS ROPIER ROSCOE ROSIER ROSTER ROTORS ROTTEN ROTTER ROTTES ROUENS ROUPET ROUSER ROUTER ROUTES ROVERS RUINER RUSINE RUSTIC RUTINS SCENIC SCONCE SCORER SCOTER SCRIPT SCRIVE SCROOP SECTOR SENIOR SEPTIC SETOUT SIFTER SINTER SITTEN SITTER SNIPER SNORER SOCCER SOFTEN SOFTER SOFTIE SOONER SOPITE SORNER SORTER SORTIE SOURCE SOURER SOUTER SOVIET SPICER SPINET SPINOR SPINTO SPRENT SPRIER SPRINT SPRITE SPROUT SPRUCE STERIC STIVER STONER STOPER STORER STOTIN STOURE STOVER STRICT STRIFE STRIPE STRIPT STRIVE STROVE STRUNT STUCCO STUPOR SUCCOR SUITER SUITOR SUPINE SURFER TENORS TENOUR TENSOR TENUIS TENUTI TENUTO TERRIT TESTON TETRIS TICTOC TINCTS TINPOT TINTER TIPTOE TITERS TITFER TITRES TOCSIN TONERS TONICS TONIER TOONIE TOOTER TOPERS TOPICS TORERO TORICS TORIES TOROSE TOROUS TORPOR TORTEN TORTES TOTERS TOURER TOUTER TRICEP TRICES TRICOT TRIENS TRIERS TRINES TRIOSE TRIPES TRIPOS TRISTE TRITER TRITON TRIUNE TRIVET TRONES TROOPS TROPES TROPIC TROPIN TROUPE TROUTS TROVER TROVES TRUCES TRUEST TUFTER TUNERS TUNICS TURION TURNER TURNIP TURRET TURVES TUTORS UNFITS UNITER UNITES UNREST UNRIPE UNRIPS UNROOF UNROOT UNROVE UNSTEP UNSTOP UNTIES UPRISE UPROOT UPROSE UPSENT UPSTIR UPTORE UPTORN URETIC URINES URSINE UTTERS VECTOR VENOUS VERIST VERTUS VICTOR VINOUS VIPERS VIREOS VIRTUE VIRTUS VOICER VOICES VOTERS

5 letters out of CONSTRUCTIVEPROOF

CENTO CENTS CENTU CERCI CERIC CEROS CESTI CINES CIONS CIRES CISCO CITER CITES CIVET COCOS COIFS COINS COIRS CONES CONIC CONTE CONTO CONUS COOER COOFS COONS COOPS COOPT COOTS COPEN COPER COPES COPSE CORER CORES CORNS CORNU CORPS CORSE COSEC COSET COSIE COTES COUNT COUPE COUPS COURT COVEN COVER COVES COVET COVIN CREPT CREST CRIER CRIES CRIPE CRISP CRITS CROCI CROCS CROFT CRONE CROON CROPS CRORE CROUP CRUET CRUOR CRUSE CRUST CUIFS CUNTS CURER CURES CURET CURFS CURIE CURIO CURNS CURRS CURSE CURST CURVE CUSEC CUTER CUTES CUTIE CUTIN CUTIS ECRUS ENVOI EOSIN EPICS ERUCT ERUPT ESCOT ESTOP ETUIS EUROS EVICT FEINT FEIST FERNS FETOR FETUS FICES FICUS FINER FINES FINOS FIRER FIRES FIRNS FIRST FIVER FIVES FOCUS FOINS FOIST FONTS FOOTS FORCE FORES FORTE FORTS FOUNT FOURS FRETS FRIER FRIES FRISE FRITS FRITT FROES FRONS FRONT FRORE FROST FRUIT FUROR FUTON ICONS ICTUS INCUR INCUS INEPT INERT INFER INFOS INPUT INSET INTER INTRO INURE IRONE IRONS NEIFS NEIST NERTS NETOP NETTS NEVUS NICER NITER NITES NITRE NITRO NOIRS NOISE NOOSE NORIS NOTER NOTES NURSE OCCUR OCTET OFTEN OFTER ONCET ONSET ONTIC OORIE OPENS OPINE OPSIN OPTIC ORCIN ORNIS ORPIN ORRIS OSIER OTTER OTTOS OUNCE OURIE OUTER OUTRE OVENS OVERS OVERT OVINE PEINS PENIS PEONS PERIS PERVS PESTO PETIT PETTI PETTO PICOT PIERS PINES PINOT PINTO PINTS PIONS PIOUS PIRNS PISCO PISTE PITON PIVOT POETS POINT POISE PONCE PONES POOFS POONS POORI POOVE PORES PORNO PORNS PORTS POSER POSIT POTTO POUFS POURS POUTS PREST PRICE PRIER PRIES PRINT PRION PRIOR PRISE PROFS PRONE PROOF PROSE PROSO PROST PROVE PRUNE PUCES PUNTO PUNTS PURER PURIN PURIS PURRS PURSE PUTON PUTTI PUTTO PUTTS RECIT RECON RECTI RECTO RECUR RECUT REFIT REIFS REINS RENTS REPIN REPOS REPOT REPRO RERUN RESIN RESIT RETRO RICER RICES RIFER RIFTS RINSE RIOTS RIPEN RIPER RIPES RISEN RISER RITES RIVEN RIVER RIVES RIVET ROOFS ROOSE ROOST ROOTS ROPER ROPES ROSET ROSIN ROTES ROTIS ROTOR ROTOS ROTTE ROUEN ROUES ROUPS ROUSE ROUST ROUTE ROUTS ROVEN ROVER ROVES RUERS RUINS RUNES RUNIC RUNTS RUTIN SCENT SCION SCONE SCOOP SCOOT SCOPE SCORE SCORN SCOUR SCOUT SCRIP SCURF SCUTE SECCO SENOR SENTI SEPIC SERIF SERIN SERVO SETON SETUP SIEUR SINCE SIREN SIRUP SITUP SIVER SNIPE SNOOP SNOOT SNORE SNORT SNOUT SONIC SOPOR SORER SPEIR SPENT SPICE SPIER SPINE SPIRE SPIRT SPITE SPOOF SPOON SPOOR SPORE SPORT SPOUT SPRIT SPRUE SPURN SPURT STEIN STENO STENT STERN STINT STIPE STIRP STOIC STONE STOOP STOPE STOPT STORE STOUP STOUR STOUT STOVE STREP STRIP STROP STRUT STUNT STUPE STURT SUCRE SUINT SUITE SUPER SURER TENOR TENTS TERNS TETRI TIERS TINCT TINES TINTS TIRES TIROS TITER TITRE TOFTS TOFUS TOITS TONER TONES TONIC TONUS TOONS TOOTS TOPER TOPES TOPIC TOPIS TOPOI TOPOS TORCS TORES TORIC TOROS TOROT TORRS TORSE TORSI TORSO TORTE TORTS TORUS TOTER TOTES TOURS TOUSE TOUTS TRETS TRICE TRIER TRIES TRINE TRIOS TRIPE TRIPS TRITE TROIS TRONE TROOP TROPE TROTS TROUT TROVE TRUCE TRUER TRUES TRUST TUFTS TUNER TUNES TUNIC TURFS TURNS TURPS TUTOR UNCOS UNFIT UNITE UNITS UNRIP UNSET UNTIE UPSET UREIC URINE UTERI UTTER VEINS VENTS VENUS VERSO VERST VERTS VERTU VICES VIERS VINES VINOS VIPER VIREO VIRES VIRTU VIRUS VISOR VOCES VOICE VOTER VOTES

4 letters out of CONSTRUCTIVEPROOF

CENT CEPS CERO CINE CION CIRE CIST CITE COCO COFT COIF COIN COIR CONE CONI CONS COOF COON COOP COOS COOT COPE COPS CORE CORF CORN CORS COST COTE COTS COUP COVE CRIS CRIT CROC CROP CRUS CUES CUIF CUNT CUPS CURE CURF CURN CURR CURS CURT CUSP CUTE CUTS ECRU ECUS EFTS ENUF EONS EPIC EPOS ERNS EROS ERRS ERST ETIC ETUI EURO FENS FERN FEST FETS FEUS FICE FICO FINE FINO FINS FIRE FIRN FIRS FISC FIST FITS FIVE FOCI FOES FOIN FONS FONT FOOT FOPS FORE FORT FOUR FRET FRIT FROE FUCI FUNS FURS FUSE ICES ICON INFO INRO INTO IONS IRES IRON NEIF NEST NETS NETT NEVI NICE NIPS NITE NITS NOES NOIR NOPE NORI NOSE NOTE NOUS NUTS ONCE ONES ONOS ONTO ONUS OOPS OOTS OPEN OPES OPTS OPUS ORCS ORES ORTS OTIC OTTO OURS OUST OUTS OVEN OVER PECS PEIN PENS PENT PEON PERI PERT PERV PESO PEST PETS PFUI PICE PICS PIER PIES PINE PINS PINT PION PIRN PISO PITS POCO POET POIS PONE PONS POOF POON POOR POOS PORE PORN PORT POSE POST POTS POUF POUR POUT PROF PROS PTUI PUCE PUNS PUNT PURE PURI PURR PURS PUTS PUTT RECS REFS REFT REIF REIN REIS RENT REPO REPS REST RETS REVS RICE RIFE RIFS RIFT RINS RIOT RIPE RIPS RISE RITE RIVE ROCS ROES ROOF ROOT ROPE ROSE ROTE ROTI ROTO ROTS ROUE ROUP ROUT ROVE RUER RUES RUIN RUNE RUNS RUNT RUSE RUST RUTS SCOP SCOT SCUP SCUT SECT SEIF SENT SEPT SERF SETT SICE SIFT SINE SIPE SIRE SITE SNIP SNIT SNOT SOFT SONE SOON SOOT SORE SORI SORN SORT SOUP SOUR SPEC SPIC SPIN SPIT SPIV SPOT SPUE SPUN SPUR STEP STET STIR STOP STOT STUN SUER SUET SUIT SUPE SURE SURF TENS TENT TERN TEST TETS TICS TIER TIES TINE TINS TINT TIPS TIRE TIRO TITS TOES TOFT TOFU TOIT TONE TONS TOON TOOT TOPE TOPI TOPO TOPS TORC TORE TORI TORN TORO TORR TORS TORT TOST TOTE TOTS TOUR TOUT TREF TRES TRET TRIO TRIP TROP TROT TRUE TUFT TUIS TUNE TUNS TUPS TURF TURN TUTS UNCI UNCO UNIT UNTO UPON URIC URNS URPS USER UTES VEIN VENT VERT VEST VETO VETS VICE VIER VIES VINE VINO VISE VOES VOTE

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Definitions of constructive proof in various dictionaries:

CONSTRUCTIVE PROOF - In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method ...

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Constructive proof description
In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method for creating the object. This is in contrast to a non-constructive proof (also known as an existence proof or pure existence theorem) which proves the existence of a particular kind of object without providing an example. For avoiding confusion with the stronger concept that follows, such a constrictive proof is sometimes called an effective proof.
* A constructive proof may also refer to the stronger concept of a proof that is valid in Constructive mathematics.
* Constructivism is a mathematical philosophy that rejects all proof methods that involve the existence of objects that are not explicitly built. This excludes, in particular, the use of the law of the excluded middle, the axiom of infinity, and the axiom of choice, and induces a different meaning for some terminology (for example, the term "or" has a stronger meaning in constructive mathematics than in classical).
* Some non-constructive proofs show that if a certain proposition is false, a contradiction ensues; consequently the proposition must be true (proof by contradiction). However, the principle of explosion (ex falso quodlibet) has been accepted in some varieties of constructive mathematics, including intuitionism.
* Constructive proofs can be seen as defining certified mathematical algorithms: this idea is explored in the Brouwer–Heyting–Kolmogorov interpretation of constructive logic, the Curry–Howard correspondence between proofs and programs, and such logical systems as Per Martin-Löf's Intuitionistic Type Theory, and Thierry Coquand and Gérard Huet's Calculus of Constructions.
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