What's new

# proof

A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning which establish logical certainty, to be distinguished from empirical arguments or non-exhaustive inductive reasoning which establish "reasonable expectation". Presenting many cases in which the statement holds is not enough for a proof, which must demonstrate that the statement is true in all possible cases. A proposition that has not been proved but is believed to be true is known as a conjecture, or a hypothesis if frequently used as an assumption for further mathematical work.
Proofs employ logic expressed in mathematical symbols, along with natural language which usually admits some ambiguity. In most mathematical literature, proofs are written in terms of rigorous informal logic. Purely formal proofs, written fully in symbolic language without the involvement of natural language, are considered in proof theory. The distinction between formal and informal proofs has led to much examination of current and historical mathematical practice, quasi-empiricism in mathematics, and so-called folk mathematics, oral traditions in the mainstream mathematical community or in other cultures. The philosophy of mathematics is concerned with the role of language and logic in proofs, and mathematics as a language.

You do not have permission to view the full content of this post. Log in or register now.
1. ### Crypto MIYU nyo Proof!!

Note. Tapos napo bumili ng checkin. Pero nag pa sweldo na 😍😍😍😍 miu miu Pm sa interested. Pasok sa room ko at fallow Ako #724630 search nyo lng po yan
2. ### Referral Earn Extra Money using MONEYSMS with PROOF OF wí†hdráwAL

Kamusta! Gusto mo bang kumita ng extra pera ng walang kahirap-hirap? Introducing MoneySMS, isang simpleng paraan para mapadali ang iyong kita gamit ang iyong smartphone! Paano ito gumagana? Simple lang. Pagkatapos ma-install ang app, tatanggap ka ng mga discreet na SMS ads na magpapadala sayo...
3. ### Referral Pasok guys Legit airdrop w/ wíhdráwal proof

Paki lagyan lang ng dot ung tme t(dot)me tapos paste lang sa browser or sa telegram grab na guys NEED LANG MAY TELEGRAM ACCOUNT AT TWITTER https://tme/StrikeAirdropRoBot?start=5541370335 Tapusin lang task madali lang
4. ### Referral PARA SA MGA WALA AMG SHEIN DYAN. FREE 5K PHP SHEIN WALLET WITH PROOF.

1. lnstall SHEIN 2. Open SHEIN app. 3. Click mo lang yung search bar tapos ilagay mo to: dgcri8 proof:
5. ### Referral Shein FREE P5,000 Gift Card + Proof (Legit)

Click this link: FREE 5K (it will go to Playstore if wala ka pang Shein app) Search sa search bar: fp4ax Play the lucky draw Sana support niyo rin ako CTTO: janesamson
6. ### Referral \$=New Legit Earnings with Proof (only for those Open-minded)=\$

I just want to share my sideline income for Open-minded only! Hidden content ✅My proof of wí†hdráwal Para maniwala kayo 😍😍
7. ### Referral Free 5000 Pesos Shein Reward With Proof

May pa free 5k gift card sa shein Step 1: Download and open the SHEIN app Step 2: Login or Register Step 3: tap the search bar and type (465k1o) para makapasok sa reward Step 4: play the lucky draw and win prizes! Bagong bago lang last na ata ngayon buwan kaya habol na pang puhunan din yan...
8. ### Referral Legit Earning App: With Proof of wíhdráwal/Payment

Good day followers and visitors, May e-share akong legit Earning App with PROOF OF wí†hdráwAL/PAYMENT, madali lang ang gagawin. If naabutan mo ang noise cash and read cash same lang sila. PROOF OF wí†hdráwAL PAYMENT 👇👇 Hidden content
9. ### Referral *Proof* Claim 1300 pesos per day for free! Monoswap Airdrop! Arat na!

Tara guys mag claim tayo ng 1300 pesos per day wag mag alala walang babayaran dito libre lang to! Kailangan mo lang talaga ng sipag at tyaga. Sumubok lang tayo ng sumubok hanggat makuha natin ang mga pangarap natin hahahaha. btw ito na ito ang mga kailangan. basahin mabuti 1. google chrome or...
10. ### Referral SeaBank Free 550 | Need Deposit 10k and Maintain it for 7 Days | With Proof

So lumipat ako kay SeaBank kasi may free 15 instapay transfer haha, tapos meron silang promo na refer & earn. Pag naglagay ka ng referral code at nagdeposit ka ng 1000 at hinold mo yun for 3 days, magkakaroon ka ng 50 Pesos Reward. Pero bago ako nagdeposit ng 1k, may notification sa SeaBank na...
11. ### Referral STORMGAIN CLOUD MINING APP (WITH PROOF)

https://app.stormgain.com/friend/BNS169299043 Pasok kayo sa link ko may \$3 agad kayo, i-mine niyo na lang hanggang umabot sa minimum \$10 and then pwede niyo na siyang i-wí†hdráw to main wallet pang trade. Take note yung profit lang sa trade ang pwede niyong ilabas na pera sa Stormgain. Advice...
12. ### Referral Rakuten Insight payment proof (january 31, 2024)

share ko lang si Rakuten sa mga wala pa solid mga surveys nila halos araw araw ako nakakacomplete 100 php lang minimum which is 1000 points kaya madali mareach since per survey nagrereward between 300-600 points meron din mga survey na sa pc lang available pero madalas high reward ng mga surveys...
13. ### Referral No Deposit Bonus \$30 with wíhdráwal Proof of Profit

Register here: Hidden content You can claim a bonus of 30 USD, by completing three simple steps: 1. Register 2. Complete the KYC verification within 30 days 3. Open a Mini or Standard+ account Account Information: This bonus will be available for you to claim in the Client Portal if you...
14. ### Referral Sa mga wala pa Neto legit! with proof of wí†hdráwal

♥️DigiWards ♥️ NEW UPDATE Sa mga dipa nakakaalam nitong app nato download nio na instant claim agad ng 20 pesos pwede sa Maya or PayPal pagka sign up palang basta maglagay Kau ng referral pwede nio gamitin referral ko REFERRAL CODE: CYCLYS Happy earning guys explore the app madaming ways...
15. ### Referral Prime Opinion Payment proof (January 17, 2024)

try nyo na to guys survey app/site took me over 2weeks bago makapag cashout very basic lang sasagot ng surveys to earn kagaya ng ibang survey apps pero kinagandahan may joining bonus. 100points= 5\$ minumum payout 200points= 10\$ minimum payout 500points= 20\$ minimum payout 200 points pinili ko...

17. ### Contest PRIZE Spotify Freemium Account (Proof)

Hidden content Pasound trip sa fremmium spotify mo Zap . .Congrats sa lahat ng mga nanalo na! (Sharing is Caring)
18. ### TWMAX website opportunity ( proof pics not mine, but from another user of the platform)

Free opportunity ( Only invest extra money; invest what you can afford to lose) to sign up use this link...
19. ### Tutorial Promote this product! And EARN! with proof! (AFFILIATE MARKETING)

Wassap mga ka PHC! Gusto ko e share sa inyo tong AFFILIATE chocolate (VIDEOS FOR THE PRODUCT ARE INCLUDED) Requirements: Tiktok Instagram Di\$cord How much earning dito? Depende kong gaano karami ang magcliclick sa link mo at bibili! Ano mas maganda for promoting? IG or Tiktok? Both...
20. ### Referral POWER MIND - EARNING APP (M.O.P GCASH WITH PROOF)

Power Mind - Apps on Google Play 10K gold = P 1.00 Dumating naman agad. Kayo na bahala mag grind mga bossing. Paki bind na rin po ng referral code ko 🔻🔻🔻 16648081 PROOF:
21. ### Closed Received 400 pesos with proof mga idol

Unlimited ₱400 bago matapos ang taon 🫢 no need deposit mga idol Hidden content mainit init pa 🔥 goodluck HAPPY EARNINGS 💸💸
22. ### Referral CoinBuck Airdrop free 5k \$BUCK w/ proof paldo to! soon listing sa OKX

Ito surebol paldo to maganda yong project at transparent ang devs strict to the point sumagot at napa thumbs up c HAIDER ng OKX kakatapos q lng makinig sa twitter space nila soon malilist to sa OKX speaker knina c HAIDER ng OKX..grab nyo na wag ng palampasin may free 5k \$BUCKS upon sign up...
23. ### Referral \$MAMO token airdrop w/ proof pasok!

May pa free si MAMO through our okx wallet!!!!! EARN 200000 Mamo for free as registration bonus. That's about \$171. All you need is - 👉 Add Matmo token to your OKX Wallet. Use Contract Address - 👇 0x02E7CB8B1b2844424Da9979148b9374269FD0768 Link to airdrop👇👇👇 👉 1. Have Telegram account. 2...
24. ### Referral Wonderland Proof wí†hdráwal P100.00 New Update

Sa wakas may sarili na akong proof sa wonderland. Akala ko di legit kaya pinabayaan kona. Last Dec.24 @ 11:00 Pm ako nagrequest ng wí†hdráwal a total of 2,000 points. Then ngayon lang Dec.26 ko nareceived. Register now until January 1,2024 lang ito. 👉 Click.me to register ❌No referral ,no...
25. ### Referral Money SMS With Proof wíhdráwal

tara na rito mga idol, mainit-init pa, easy 120 kaka wí†hdráw ko lang pasok agad sa paypal ko. ano na, tara na!

28. ### Referral REGISTER NA KAY WINSTON WITH PROOF OF WINNING | PWEDE MANALO NG GCASH/LAZADA/MAYA/SMGC/IPHONE/RAPTOR

Register lang dito mga pogi Link: https://winston.ph/register/options?referral_code=UVG49P Code: UVG49P
29. ### Referral Free 15 TRX with Proof

Free 15 TRX mga Bossing. Plus Free 45 TRX every invite. Bilisan nyo habang Paying pa. Kakawí†hdráw ko lang 600 TRX ngayon. Sa isa kung account. Click link below Airdrop Airdrop

Not Paying
31. ### Referral Earn usdt for free by playing games, with proof of payment pasok! dali lang

Goodafternoon mga idol share ko lang sa inyo to tinry ko lang nakita ko sa playstore tas naka payout ako kaka install lang Hidden content here’s my proof yung ginawa ko lang na tricks dito para maka ipon ng coins is ioopen ko lang yung app na ini install ko then mag e earn na ng kusa...
32. ### Referral Gem Master Apk Proof of wí†hdráwal Unli Piso

Eto guys Proof ni Gem Master wala pa isang minuto dumating na ang Piso haha Hidden content Free 9000 Gem insert lang Ref code. Ref Code : 48537554 Then may Dollar sign Jan kapag mag level up kayo nagbibigay sila . Pwede to sa matyaga kase 3,000 pesos din yon . Then laro kayo saglit wí†hdráw...
33. ### Referral Puregold Unli 50 pede ifarm with proof

Unli 50 kay Puregold. Pede ifarm guys. Masayang Araw! Experience the convenience of online shopping with Puregold Mobile app! Use this referral code upon sign up G860ee5b and enjoy discount. Click on the link to download the Puregold Mobile app. Google Play Store: Puregold Mobile - Apps...
34. ### Referral Unli 50 self refer legit with proof.

Up na ulit mabilis na makakuha at sign up download nyo sa playstore “PUREGOLD MOBILE” tapos sign up kayo sa email use my code para sa 50 pesos Code : x6sQ5s2I Code : x6sQ5s2I Sign up with email gawin niyo para meron Code : x6sQ5s2I No code no 50 pesos self refer kayo para makarami kayo...
35. ### Referral Puregold Free 50 pesos convertable to Voucher with Proof

Download: Puregold Farming Needs: Email & Phone Number only Step 1: Sign Up use Email not Gmail or Facebook Step 2: Input my Voucher (Pede rin kayong mag self refferal) 1573Ygrf 1573Ygrf Step 3: Input Number and wag mo na lagyan yung mga optional input.
36. ### Referral MAAGANG PAMASKO NI PUREGOLD 50 PESOS (WITH PROOF NA)

FREE FREE FREE MAAGANG PAMASKO NI PUREGOLD free 50 pesos kay puregold pwede ibili ng ng item, load or pang bayad bills. 1. Download Puregold Mobile. Link (nasa playstore): Puregold Mobile Masayang Araw! Experience the convenience of online shopping with Puregold Mobile app! Google Play...
37. ### Referral Unli Free 50 Pesos Kay Puregold With Proof

May free 50 pesos kay puregold pwede ibili ng ng item, load or pang bayad bills. (Grab niyo na habang paying pa) Ito proof ko: Hidden content How? 1. Download Puregold Mobile. Link (for android): Puregold Mobile Link (for ios): Puregold Mobile 2. Click sign up. Ilagay niyo active email at...
38. ### PlayToEarn OPEN SEA NFT COLLECTION NEW INVESTMENT PLATFORM PANGLONGTERM W/ wíhdráwAL PROOF

❤️‍🔥OPEN SEA NFT COLLECTION❤️‍🔥 Share ko lang new nft investment na nalaman ko, bagong bago lang nagstart Nov. 28, 2023. Goods to panglongterm, pwede i-wí†hdráw everyday. Not lock in. 🎁 𝗙𝗿𝗲𝗲: 𝟱𝟬 𝗣𝗲𝘀𝗼𝘀 🎁 𝗙𝗿𝗲𝗲: 𝟴 𝗣𝗲𝘀𝗼𝘀 𝗱𝗮𝗶𝗹𝘆 How to recharge? -Go to the Mine Tab -Click recharge then type kung...
39. ### Referral UNLI FARM ng \$BABYDOGE w/ wíhdráwal Proof

Every 3 mins. claim ng \$BabyDoge Register Here:KiddyEarner - Best Crypto Advertising and Earning Platform Update:Pwede kayo mag Select ng Token ng Trip nyong i wí†hdráw like BTC,LTC Claim using Cwallet, kung wala pa kayo pwede nyo i DL sa Playstore
40. ### Referral Another legit site with proof 1\$ lang min wíhdráw, subok na kayo

Sa mga wala pa gawa na kayo Gretem account 1\$ minimum wí†hdráwal No need mag deposit, login lang kayo daily and spin 4days aabutin para magka 1\$ Follow this step Click mo to 👉👉👉Gretem Register ka ng account , sa pagregister pala make sure SMALL LETTER ILAGAY MO SA EMAIL then after register...
41. ### Referral UNLI 10 VOUCHER WITH PROOF OF PAYING GRAB NA

Free 10 pesos voucher wí†hdraw through gcash 1st step: Install the app Note: dapat pag mag register kayo gcash no. Gamitin nyo dahil direct na sa gcash account nyo yung 10 pesos voucher. 2nd step: put my code: NLWMQ Note: pag dika nag lagay code walang 10 pesos voucher 3rd step: punta ka sa...
42. ### Referral UNLI 10 FREE VOUCHER WITH MY OWN PROOF NA PAYING

Free 10 pesos voucher wí†hdraw through gcash 1st step: Install the app Note: dapat pag mag register kayo gcash no. Gamitin nyo dahil direct na sa gcash account nyo yung 10 pesos voucher. 2nd step: put my code: NLWMQ Note: pag dika nag lagay code walang 10 pesos voucher 3rd step: punta ka sa...
43. ### Referral Earn unlimited 10 Load New app!! with proof, register lang claim agad +farming tricks

Goodevening mga idol share ko lang tong bagong app, pwede kayo makahakot ng unlimited ₱10 Load and may farming tricks tayo dito scroll down niyo lang Hidden content pagkatapos niyo mag sign in gamit phone no. niyo makakatanggap agad kayo bg ₱10 Load at para ma claim niyo punta kayo sa home...
44. ### Referral 25k SHIB Free in Telegram! With Proof! Pasok!

Earn 25k SHIB by Viewing Ads, Joining Channels, Joining in Bots & More 😉🤑 Napakabilis ng Payout Pasok agad pag wí†hdráw! JOIN NOW 👇 🐝 ClickBee SHIB Bot Proof of Payment 👇 2nd Payout 1st Payout
45. ### Tutorial Restore Hdd/ssd health (with proof)

Hdd/Ssd Pwede pa ma restore ang health up to 100% Hidden content
46. ### Referral Earn Extra Money using MONEYSMS with PROOF OF wíhdráwAL

Hi there! Interested in effortlessly earning some extra cash? Meet MoneySMS, the easy way to boost your income using your smartphone! How does it work? It's simple. Once you've installed the app, you'll receive discreet SMS ads, each fetching you 0.02 euros. And the best part? Your earnings...
47. ### Referral Earn Extra Money using MONEYSMS with PROOF OF wí†hdráwAL

Hello there! Would you like to earn some extra money without much effort? Introducing MoneySMS, a simple way to boost your income using your smartphone! How does it work? It's easy. After installing the app, you'll receive discreet SMS ads that will earn you 0.02 euros each. And the best part...
48. ### Referral SproutGigs - With Payment Proof

Siguro madami ng nakakaalam ng Website na ito dati itong Picoworkers ngayon ay SproutGigs na sya. Ang website na ito ay hindi para sa malakihan na kitaan konteng kitaan lang po dito tamang pangbayad lang ng bills monthly. Pero depende pa din sa sipag nyo. Pros 1. Una di nyo kailangan mag apply...
49. ### Referral Legit Talaga EZMoney may sariling Proof of wí†hdráwal video

Basahin nyo nalang po yung previous thread ko Referral - Sobrang legit mas legit pa sa Jowa mo eaymoney So eto na update guys legit walang palya basta gawin nyo lang mga task If wala kapa downloadhere Hidden content Proof of wí†hdráwal No edited Hindi ko ma láρág yung video wí†hdráwal ko
50. ### Referral Free 50 pesos gcash with own proof

sobrang dali lang mag ka coins dito mag install kalang ng apps tapos run mo lang ng 1 minute tapos mag kaka roon kana ng coins tapos mabilis pa wí†hdráwal link EZMoney