A conditional proof is a proof that takes the form of asserting a conditional, and proving that the antecedent of the conditional necessarily leads to the consequent.
The assumed antecedent of a conditional proof is called the conditional proof assumption (CPA). Thus, the goal of a conditional proof is to demonstrate that if the CPA were true, then the desired conclusion necessarily follows. The validity of a conditional proof does not require that the CPA be true, only that if it were true it would lead to the consequent.
Conditional proofs are of great importance in mathematics. Conditional proofs exist linking several otherwise unproven conjectures, so that a proof of one conjecture may immediately imply the validity of several others. It can be much easier to show a proposition's truth to follow from another proposition than to prove it independently.
A famous network of conditional proofs is the NP-complete class of complexity theory. There is a large number of interesting tasks (see List of NP-complete problems), and while it is not known if a polynomial-time solution exists for any of them, it is known that if such a solution exists for some of them, one exists for all of them. Similarly, the Riemann hypothesis has many consequences already proven.
As an example of a conditional proof in symbolic logic, suppose we want to prove A → C (if A, then C) from the first two premises below:
List of events ← 1896 1895 1894 1897 in Norway → 1898 1899 1900 Centuries: 17th 18th 19th 20th 21st Decades: 1870s 1880s 1890s 1900s 1910s See also:1897 in Sweden List of years in Norway Events in the year 1897 in Norway. Incumbents Monarch: Oscar II Prime Minister: Francis Hagerup Events This section needs expansion. You can help by adding to it. (October 2010) The 1897 Parliamentary election takes place. Popular culture Sports Music Main article: 1897 in Norwegian music Theathre Li…
Lev PontryaginLev Semenovich Pontryagin (kiri)Lahir(1908-09-03)3 September 1908Moskwa, Kekaisaran RusiaMeninggal3 Mei 1988(1988-05-03) (umur 79)Moskwa, Uni SovietKebangsaanUni SovietKarier ilmiahBidangMatematikaPembimbing doktoralPavel AlexandrovMahasiswa doktoralDmitri AnosovVladimir BoltyanskyRevaz GamkrelidzeEvgenii Mishchenko [ru]Mikhail PostnikovMikhail Zelikin Lev Semyonovich Pontryagin (bahasa Rusia: Лев Семёнович Понтрягин, juga disebut Pontriag…
Politics of Campania Statute Regional Government President: Vincenzo De Luca Vice President: Fulvio Bonavitacola Regional Council President: Gennaro Oliviero Elections Political parties Provinces Regions of Italy Politics of Italy Politics of the European Union Other countries vte The Campania regional election of 1980 took place on 8 June 1980. Largest party by municipality Events Christian Democracy was by far the largest party, while the Italian Communist Party came distantly second. After th…
Dewan Perwakilan RakyatKota Lhokseumawe DPRK Lhokseumawe2019-2024JenisJenisUnikameral Jangka waktu5 tahunSejarahDidirikan2003Sesi baru dimulai10 September 2019PimpinanKetuaIsmail A. Manaf (PA) sejak 10 Oktober 2019 Wakil Ketua IIrwan Yusuf (Gerindra) sejak 10 Oktober 2019 Wakil Ketua IITeuku Sofianus (Demokrat) sejak 10 Oktober 2019 KomposisiAnggota25Partai & kursi NasDem (2) PKB (1) Demokrat (3) PAN (2) Golkar (2) …
Ріг достатку як геральдичний символ Ріг доста́тку (лат. cornu соріае) — ріг кози Амальтеї, яка вигодувала своїм молоком Зевса, наповнений квітами, овочами, фруктами тощо, символ достатку та багатства. Атрибут богів Ейрени, Плутоса, Фортуни, Геї, Деметри, а також Геракла. Ріг
Wappen Deutschlandkarte 51.30527777777810.068055555556280Koordinaten: 51° 18′ N, 10° 4′ O Basisdaten Bundesland: Thüringen Landkreis: Eichsfeld Verwaltungsgemeinschaft: Uder Höhe: 280 m ü. NHN Fläche: 3,8 km2 Einwohner: 305 (31. Dez. 2022)[1] Bevölkerungsdichte: 80 Einwohner je km2 Postleitzahl: 37318 Vorwahl: 036087 Kfz-Kennzeichen: EIC, HIG, WBS Gemeindeschlüssel: 16 0 61 068 Gemeindegliederung: 3 Or…
Ця стаття не містить посилань на джерела. Ви можете допомогти поліпшити цю статтю, додавши посилання на надійні (авторитетні) джерела. Матеріал без джерел може бути піддано сумніву та вилучено. (січень 2023) Рейганоміка Названо на честь Рональд Рейган і економіка Країн…
關閘東側上落客區Zona P/Passageiros-Este P. do Cerco位置澳門半島關閘廣場東側重型客車上落客區途经线路 作为首末站: 澳巴:3AX、30X 新福利:17S、25AX、51X、AP1X 其他信息车站代码M248历史启用日期2021年8月14日相关信息附近建筑關閘邊檢大樓备注由“關閘廣場”站作分拆 關閘東側上落客區(葡萄牙語:Zona P/Passageiros-Este P. do Cerco),全稱關閘東側重型客車上落客區、另稱關閘東側…
Cet article répertorie les compositions de toutes les équipes participantes au Championnat d'Europe 2023. Les huit équipes nationales impliquées dans le tournoi devaient inscrire une équipe de 18 joueurs maximum. L'âge et la sélection de chaque joueur sont au 18 août 2023, premier jour du tournoi. Poule A Belgique La composition a été annoncée le 31 juillet 2023[1]. Entraîneur: Michel van den Heuvel Numéro Joueur Date de naissance Âge Sélections 2 Loic van Doren (GB) 14 septembre …
Elizabeth EisensteinElizabeth Eisenstein pada 1979 sebagai sarjana tetap pertama Center for the Book di Library of CongressLahir(1923-10-11)11 Oktober 1923Meninggal31 Januari 2016(2016-01-31) (umur 92)KebangsaanAmerikaAlmamaterVassar CollegeRadcliffe CollegeKarier ilmiahBidangSejarawanInstitusiUniversity of Michigan Elizabeth Lewisohn Eisenstein (11 Oktober 1923 – 31 Januari 2016[1][2]) adalah seorang sejarawan Amerika khusus bidang Revolusi Prancis dan Pranc…
2021 video game 2021 video gameNaraka: BladepointDeveloper(s)24 Entertainment[a]Publisher(s)NetEase Games MontrealComposer(s)YunkooTRI StudioRyuuZhang ShuhaoG-FunChen JunhanXiao LonglongEngineUnity[2]Platform(s)Microsoft WindowsXbox Series X/SXbox OnePlayStation 5ReleaseMicrosoft WindowsAugust 11, 2021[1]Xbox Series X/SJune 23, 2022Xbox OneDecember 22, 2022PlayStation 5July 13, 2023Genre(s)Action-adventure/Battle royaleMode(s)Multiplayer Naraka: Bladepoint (Chinese: …
KoesbiniLahir(1910-01-01)1 Januari 1910 Mojokerto, Hindia BelandaMeninggal28 Februari 1991(1991-02-28) (umur 81)Yogyakarta, IndonesiaPekerjaanMusisi Kusbini (1 Januari 1910 – 28 Februari 1991) adalah tokoh musik keroncong era 1930 - 1955 yang legendaris, bersama Annie Landouw, Gesang, S. Abdoellah, Miss Roekiah, dll. Latar belakang R. Kusbini di Djantoeng Hati Pertjatoeran Doenia, November 1941. Ia lahir di Desa Kemlagi, Mojokerto, Jawa Timur. Pada era Keroncong Abadi (1920 …
معتقل غوانتانامومحتجزون عند وصولهم إلى القاعدة العسكرية (يناير 2002)المنشأةالنوع سجن، معتقلالموقعالمكان خليج غوانتاناموالناحية أقصى جنوب شرق كوباالمنطقة الإدارية قاعدة غوانتانامو البلد كوباالاستغلالالإدارة الولايات المتحدة الأمريكيةالافتتاح 2002تعديل - تعديل مصدري - ت…
1977 film by Donald Cammell This article is about the 1977 film. For the novel by Dean Koontz, see Demon Seed (novel). For the episode of Xiaolin Showdown, see The Demon Seed (Xiaolin Showdown). Demon SeedUS film posterDirected byDonald CammellScreenplay byRobert JaffeRoger O. HirsonBased onDemon Seedby Dean KoontzProduced byHerb JaffeStarring Julie Christie Fritz Weaver CinematographyBill ButlerEdited byFrancisco MazzolaMusic byJerry FieldingProductioncompanies Metro-Goldwyn-Mayer Herb Jaffe Pr…
خوسيه أوفارتي معلومات شخصية الميلاد 17 مايو 1941 (العمر 82 سنة)بونتيفيدرا الطول 1.71 م (5 قدم 7 1⁄2 بوصة) مركز اللعب وسط الجنسية إسبانيا مسيرة الشباب سنوات فريق بونتيفيدرا 1955–1960 فلامنغو المسيرة الاحترافية1 سنوات فريق م. (هـ.) 1961 فلامنغو 0 (0) 1961–1962 كورينثيانز[1] 19…
Brodies LLPFirm's logoTypeLimited liability partnershipIndustryLawHeadquartersEdinburgh, Scotland, UKArea servedUnited KingdomServicesLegal adviceRevenue£106m (2023)Owners115 partnersWebsitewww.brodies.com Brodies LLP is a Scottish law firm. The firm offers legal advice to private and public sector clients both in the UK and internationally in its core business areas of corporate and commercial; energy (both renewables and oil & gas); real estate; litigation and dispute resolution; banking …
1935 film directed by Yoshitsugu Tanaka Princess KaguyaTheatrical release posterJapanese nameKanjiかぐや姫TranscriptionsRevised HepburnKaguya Hime Directed byYoshitsugu Tanaka Special effects byEiji Tsuburaya Screenplay byJ.O. Planning DepartmentBased onThe Tale of the Bamboo Cutter[1]Starring Kazuko Kitazawa Yō Shiomi Hideko Higashi Ichirō Fujiyama Dekao Yokoo Tamaki Tokuyama CinematographyEiji Tsuburaya[1][2]Music byMichio Miyagi[3]ProductioncompanyJ.O. St…
Artikel ini membahas mengenai bangunan, struktur, infrastruktur, atau kawasan terencana yang sedang dibangun atau akan segera selesai. Informasi di halaman ini bisa berubah setiap saat (tidak jarang perubahan yang besar) seiring dengan penyelesaiannya. Stasiun Mandalle Mandalle LokasiManggalung, Mandalle, Pangkajene dan Kepulauan, Sulawesi SelatanIndonesiaOperator Balai Pengelolaan Kereta Api Sulawesi Selatan Celebes Railway Indonesia Letak dari pangkalkm 67+850[1]Jumlah peron1Jumlah jal…
Antonio Conte[1] Conte pada 2015Informasi pribadiTanggal lahir 31 Juli 1969 (umur 54)Tempat lahir Lecce, ItaliaTinggi 178 cm (5 ft 10 in)[2]Posisi bermain GelandangKarier junior LecceKarier senior*Tahun Tim Tampil (Gol)1985–1992 Lecce 89 (1)1992–2004 Juventus 295 (29)Total 384 (30)Tim nasional1994–2000 Italia 20 (2)Kepelatihan2006–2007 Arezzo2007–2009 Bari2009–2010 Atalanta2010–2011 Siena2011–2014 Juventus2014–2016 Italia2016–2018 Chelsea20…
Ambassador of the United States to HungarySeal of the United States Department of StateIncumbentDavid Pressmansince September 14, 2022ResidenceSzabadság Square 12, Budapest, H-1054NominatorThe President of the United StatesAppointerThe Presidentwith Senate advice and consentInaugural holderUlysses Grant-Smithas Chargé d'Affaires pro temFormationDecember 26, 1921WebsiteU.S. Embassy - Budapest This is a list of ambassadors of the United States to Hungary. Until 1867 Hungary had been part of…
Lokasi Pengunjung: 3.129.42.99