OpenLLM-France/wikimedia huggingface dataset:
# 1962 African Cup of Nations

The 1962 African Cup of Nations was the third edition of the Africa Cup of Nations, the football championship of Africa (CAF). It was hosted by Ethiopia. Nine countries entered the competition, including the reigning champions Egypt, meaning for the first time a qualification tournament was required. The finals only included four teams. Egypt, as holders, and Ethiopia as hosts, qualified automatically meaning each needed to play only one game to reach the final. Ethiopia won the tournament for the first time, defeating UAR 4–2, after extra time in the final.
This tournament has the highest goals-per-game average in Africa Cup of Nations tournaments.

## Qualified teams

This page details the process of qualifying for the 1962 African Cup of Nations.
Nine nations initially entered the competition, with Ethiopia and Egypt both automatically qualified as hosts and title holders respectively. Sudan withdrew before the draw, and Morocco withdrew before play began, thus leaving five teams vying for the remaining two spots in the finals. This was the first time Sudan did not compete in the tournament.
| Team | Qualified as | Qualified on | Previous appearances in tournament |
| Ethiopia | Hosts | | 2 (1957, 1959) |
| United Arab Republic | Holders | 29 May 1959 | 2 (1957, 1959) |
| Uganda | 2nd round winners | 29 October 1961 | 0 (debut) |
| Tunisia | 2nd round winners | 10 December 1961 | 0 (debut) |

### Notes

* ↑ Bold indicates champion for that year, Italic indicates host.

## Venues

| Addis Ababa | Addis Ababa |
| Hailé Sélassié Stadium | Addis Ababa |
| Capacity: 30,000 | Addis Ababa |

## Final tournament

| Semi-finals | Semi-finals | Final | Final |
| 14 January – Addis Ababa | 14 January – Addis Ababa |
| Ethiopia | 4 |
| Ethiopia | 4 | 21 January – Addis Ababa | 21 January – Addis Ababa |
| Tunisia | 2 | 21 January – Addis Ababa | 21 January – Addis Ababa |
| Tunisia | 2 | Ethiopia (a.e.t.) | 4 |
| 18 January – Addis Ababa | 18 January – Addis Ababa | | Ethiopia (a.e.t.) | 4 |
| 18 January – Addis Ababa | 18 January – Addis Ababa | United Arab Rep. | 2 |
| United Arab Rep. | 2 | United Arab Rep. | 2 |
| Uganda | 1 | | |
| Uganda | 1 | Third place | Third place |
| | | 20 January – Addis Ababa | 20 January – Addis Ababa |
| | | Tunisia | 3 |
| | | Uganda | 0 |

### Final
## Scorers
### 3 goals

* Badawi Abdel Fattah
* Luciano Vassallo

### 2 goals

* Mengistu Worku

### 1 goal

* Tekle Kidane
* Italo Vassallo
* Girma Zeleke
* Moncef Chérif
* Mohamed Salah Jedidi
* Chedly Laaouini
* Rachid Meddeb
* Ammar Merrichkou
* John Bunyenyezi
* Saleh Selim
# Cycling at the 2016 Summer Paralympics – Women's 1 km time trial B

The Women's 1 km Time Trial B track cycling event at the 2016 Summer Paralympics took place on September 10. This class was for blind and visually impaired cyclists riding with a sighted pilot. Fourteen pairs from 10 different nations competed.

## Results

| Rank | Athlete | Nation | Time | Speed (km/h) | Notes |
| | Sophie Thornhill pilot : Helen Scott | Great Britain | 01:06.28 | 54.312 | PR |
| | Larissa Klaassen pilot : Haliegh Dolman | Netherlands | 01:07.06 | 53.684 | |
| | Jessica Gallagher pilot : Madison Janssen | Australia | 01:08.17 | 52.808 | |
| 4 | Emma Foy pilot : Laura Thompson | New Zealand | 01:10.19 | 51.291 | |
| 5 | Yurie Kanuma pilot : Mai Tanaka | Japan | 01:11.08 | 50.65 | |
| 6 | Amanda Cameron pilot : Hannah Van Kampen | New Zealand | 01:11.74 | 50.183 | |
| 7 | Katie George Dunlevy pilot : Evelyn Mccrystal | Ireland | 01:12.33 | 49.77 | |
| 8 | Griet Hoet pilot : Anneleen Monsieur | Belgium | 01:12.40 | 49.722 | |
| 9 | Iwona Podkoscielna pilot : Aleksandra Teclaw | Poland | 01:13.41 | 49.038 | |
| 10 | Adamantia Chalkiadaki pilot : Argyro Milaki | Greece | 01:13.43 | 49.025 | |
| 11 | Anna Duzikowska pilot : Natalia Morytko | Poland | 01:14.89 | 48.071 | |
| 12 | Josefa Benitez Guzman pilot : Beatriu Gomez Franquet | Spain | 01:15.38 | 47.756 | |
| 13 | Marcia Fanhani pilot : Mariane Ferreira | Brazil | 01:22.35 | 43.713 | |
| 14 | Paraskevi Kantza pilot : Vasiliki Voutzali | Greece | 01:23.75 | 42.986 | |
# 471 BC

Year 471 BC was a year of the pre-Julian Roman calendar. At the time, it was known as the Year of the Consulship of Sabinus and Barbatus (or, less frequently, year 283 Ab urbe condita). The denomination 471 BC for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years.

## Events
### By place
#### Greece

* Athenian politician Themistocles loses the confidence of the Athenian people, partly due to his arrogance and partly due to his alleged readiness to take bribes. As a result, he is ostracized and retires to Argos.
* The colony of Pixunte (Pixous) is founded in Magna Graecia.

## Births

* Thucydides, Greek historian (alleged date, however, 460 BC is more probable) (d. c. 395 BC)
# Con McCormack

Cornelius Joseph "Con" McCormack (25 December 1877 – 8 September 1940) was an Australian rules footballer who played for the Collingwood Football Club in the Victorian Football League (VFL).

## Family

The son of John McCormack (1837-1892), and Susannah McCormack (1843–1927), née Casey, Cornelius Joseph McCormack was born at Ballarat, Victoria on 25 December 1877.
He married Amelia Sarah Burrell (1880–1959), in Melbourne, on 3 March 1903. They had five children; two girls and three boys (one of whom died in his infancy). Both of his surviving sons, John Charles "Jack" McCormack (1904–1996) and Eric Rowland McCormack (1905-1997), played First Grade rugby league football in the New South Wales Rugby Football League (NSWRFL) competition.

## Football

A centreman, McCormack was a premiership player in each of his two seasons at Collingwood. He experienced just three losses from his 31 games and in 1904 moved to Western Australia where he continued his football career.

## Death

He died at Sutherland, New South Wales on 8 September 1940.
# 2022 San Benedetto Tennis Cup

The 2022 San Benedetto Tennis Cup was a professional tennis tournaments played on clay courts. It was the 16th edition of the tournament which was part of the 2022 ATP Challenger Tour. The event took place in San Benedetto del Tronto, Italy, from 25 to 31 July 2022.

## Singles entrants
### Seeds

| Country | Player | Rank$^1$ | Seed |
| ITA | Andrea Pellegrino | 174 | 1 |
| ITA | Luciano Darderi | 182 | 2 |
| ITA | Francesco Passaro | 187 | 3 |
| ARG | Nicolás Kicker | 188 | 4 |
| ARG | Andrea Collarini | 195 | 5 |
| ITA | Alessandro Giannessi | 206 | 6 |
| ARG | Renzo Olivo | 208 | 7 |
| BRA | Matheus Pucinelli de Almeida | 219 | 8 |
* $^1$ Rankings as of 18 July 2022.

### Other entrants

The following players received wildcards into the singles main draw:
* Mattia Bellucci
* Gianmarco Ferrari
* Francesco Maestrelli
The following players received entry into the singles main draw as alternates:
* Matteo Gigante
* Lukáš Rosol
* Alexey Vatutin
The following players received entry from the qualifying draw:
* Pedro Boscardin Dias
* Raúl Brancaccio
* João Domingues
* Giovanni Fonio
* Camilo Ugo Carabelli
* Michael Vrbenský
The following players received entry as lucky losers:
* Andrey Chepelev
* Àlex Martí Pujolràs

## Champions
### Singles

* Raúl Brancaccio def. Andrea Vavassori 6–1, 6–1.

### Doubles

* Vladyslav Manafov / Oleg Prihodko def. Fábián Marozsán / Lukáš Rosol 4–6, 6–3, [12–10].
# Botelloides glomerosus

Botelloides glomerosus is a species of sea snail, a marine gastropod mollusk in the family Trochidae, the top snails.

## Description

The size of the shell varies between 2.9 mm and 6 mm. The shell is small, solid, glossy, columnar, and blunt at either end. Its colour is milk-white to pale ochre, yellow at the summit. The shell consists of five whorls. The first three are turbinate, the last two-thirds of the shell's total length. They are slightly inflated, contracted at the sutures and wound obliquely.
Sculpture: the top whorls are smooth, last two ornamented by fine flat-topped spiral riblets parted by shallow grooves of slightly greater breadth. The riblets are more crowded on the centre of the whorl. There are 20 on the last whorl and 10 on the antepenultimate whorl. Faint growth-striae cross riblets and grooves obliquely. The aperture is round, bevelled at the edge, and thickened within but not externally.

## Distribution

This marine species is endemic to Australia and occurs off Northern Territory, Western Australia and Queensland
# 1986 FIFA World Cup qualification – CONMEBOL Group 1

The 1986 FIFA World Cup qualification CONMEBOL Group 1 was a CONMEBOL qualifying group for the 1986 FIFA World Cup. The group comprised Argentina, Colombia, Peru and Venezuela.
The group was won by Argentina, who qualified for the 1986 FIFA World Cup. Peru and Colombia entered the CONMEBOL play-off stage.

## Standings

| Team | Pld | W | D | L | GF | GA | GD | Pts |
| Argentina | 6 | 4 | 1 | 1 | 12 | 6 | +6 | 9 |
| Peru | 6 | 3 | 2 | 1 | 8 | 4 | +4 | 8 |
| Colombia | 6 | 2 | 2 | 2 | 6 | 6 | +0 | 6 |
| Venezuela | 6 | 0 | 1 | 5 | 5 | 15 | −10 | 1 |
# Aubiac, Lot-et-Garonne

Aubiac (French pronunciation:) is a commune in the Lot-et-Garonne department in southwestern France.
# Mühlsee

The Mühlsee, or Lake Mills, is a lake in Lans, Tyrol. It had an inflow and outflow, but they were buried in 2005. Nowadays, the lake is without fresh water.
In 1840, the lake was drained. It was allowed to refill after a fire in 1902.
The lake is mainly used for fish breeding; bathing is prohibited due to the small size. Sometimes the lake is plagued by algae. There are high reeds along the shore often hiding fen puddles which act like quicksand.
# Key, Alabama

Key is an unincorporated community in Cherokee County, Alabama, United States.

## History

A post office called Key was established in 1880, and remained in operation until it was discontinued in 1936. The name comes from Lockey, a family of settlers.
# Cycling at the 2016 Summer Paralympics – Women's individual pursuit B

The women's Individual Pursuit B track cycling event at the 2016 Summer Paralympics took place on September 11. This class is for blind and visually impaired cyclists riding with a sighted pilot. Fourteen pairs from 10 different nations compete.
The competition began with seven head to head races between the 14 riders. These races were held over a 3000m course (12 laps of the standard velodrome) and each rider is given a time for their race. The fastest two riders are advanced to the gold medal final whilst the third and fourth fastest times race it out for the bronze. The medal finals are held on the same day as the heats.

## Preliminaries

Q = Qualifier for gold final Qb = Qualifier for bronze final PR = Paralympic Record WR = World Record
| Rank | Name | Country | Time | Avg. Speed | Notes |
| 1 | Lora Turnham pilot : Corrine Hall | Great Britain | 3:27.460 | 52.058 | PR Q |
| 2 | Emma Foy pilot : Laura Thompson | New Zealand | 3:28.563 | 51.782 | Q |
| 3 | Sophie Thornhill pilot : Helen Scott | Great Britain | 3:32.609 | 50.797 | Qb |
| 4 | Amanda Cameron pilot : Hannah Van Kampen | New Zealand | 3:33.298 | 50.633 | Qb |
| 5 | Katie George Dunleavy pilot : Evelyn McCrystal | Ireland | 3:33.471 | 50.592 | |
| 6 | Yurie Kanuma pilot : Mai Tanaka | Japan | 3:34.892 | 50.257 | |
| 7 | Griet Hoet pilot : Anneleen Monsieur | Belgium | 3:40.770 | 48.919 | |
| 8 | Iwona Podkoscielna pilot : Aleksandra Teclaw | Poland | 3:41.944 | 48.660 | |
| 9 | Jessica Gallagher pilot : Madison Janssen | Australia | 3:45.744 | 47.841 | |
| 10 | Adamantia Chalkiadaki pilot : Argyro Milaki | Greece | 3:46.620 | 47.656 | |
| 11 | Josefa Benitez Guzman pilot : Beatriu Gomez Franquet | Spain | 3:46.984 | 47.580 | |
| 12 | Anna Duzikowska pilot : Natalia Morytko | Poland | 3:48.026 | 47.363 | |
| 13 | Marcia Fanhani pilot : Mariane Ferreira | Brazil | 4:10.058 | 43.189 | |
| 14 | Paraskevi Kantza pilot : Vasiliki Voutzali | Greece | 4:14.308 | 42.468 | |

## Finals
### Gold medal match

| Name | Time | Rank |
| Lora Turnham (Pilot : Corrine Hall) (GBR) | 3:28.050 | |
| Emma Foy (Pilot : Laura Thompson) (NZL) | 3:31.569 | |

### Bronze medal match

| Name | Time | Rank |
| Sophie Thornhill (Pilot : Helen Scott) (GBR) | OVL | |
| Amanda Cameron (Pilot : Hannah van Kampen) (NZL) | caught | 4 |
# Aubeville

Aubeville (French pronunciation:) is a former commune in the Charente department in southwestern France. On 1 January 2016, it was merged into the new commune Val-des-Vignes.

## Population

| Year | Pop. | ±% |
| 1793 | 431 | — |
| 1800 | 340 | −21.1% |
| 1806 | 399 | +17.4% |
| 1821 | 462 | +15.8% |
| 1831 | 464 | +0.4% |
| 1841 | 439 | −5.4% |
| 1846 | 431 | −1.8% |
| 1851 | 418 | −3.0% |
| 1856 | 383 | −8.4% |
| 1861 | 403 | +5.2% |
| 1866 | 383 | −5.0% |
| 1872 | 341 | −11.0% |
| 1876 | 325 | −4.7% |
| 1881 | 301 | −7.4% |
| 1886 | 281 | −6.6% |
| 1891 | 253 | −10.0% |
| 1896 | 252 | −0.4% |
| Year | Pop. | ±% |
| 1901 | 253 | +0.4% |
| 1906 | 275 | +8.7% |
| 1911 | 264 | −4.0% |
| 1921 | 220 | −16.7% |
| 1926 | 266 | +20.9% |
| 1931 | 256 | −3.8% |
| 1936 | 234 | −8.6% |
| 1946 | 227 | −3.0% |
| 1954 | 204 | −10.1% |
| 1962 | 198 | −2.9% |
| 1968 | 195 | −1.5% |
| 1975 | 153 | −21.5% |
| 1982 | 139 | −9.2% |
| 1990 | 130 | −6.5% |
| 1999 | 142 | +9.2% |
| 2008 | 142 | +0.0% |
| 2013 | 150 | +5.6% |
# George Birch (mayor)

George Birch (died 1632) was an English politician.
He was Sheriff of Norwich in 1604, and became Mayor of Norwich in 1621. He was a grocer and apothecary, and was married.
# 1964 Conayes Professional Tournament

The 1964 Conayes Professional Tournament was a professional snooker tournament staged at the Rex Williams Snooker Centre in Blackheath from 16 to 21 March 1964. It was the first commercially sponsored professional snooker event since 1960, and was won by John Pulman.
There were four competitors: Pulman, Rex Williams, Jackie Rea, and Fred Davis. It was held as a round-robin, with participants each playing the other competitors twice over five frames.

## Final table

The final standings are shown below.
| Position | Player | P | MW | ML | FW | FL |
| Winner | John Pulman (ENG) | 6 | 5 | 1 | 19 | 11 |
| Runner-up | Fred Davis (ENG) | 6 | 4 | 2 | 18 | 12 |
| 3. | Rex Williams (ENG) | 6 | 2 | 4 | 14 | 16 |
| 4. | Jackie Rea (NIR) | 6 | 1 | 5 | 9 | 21 |

## Match results

| Player | Score | Player |
| John Pulman (ENG) | 3–2 | Jackie Rea (NIR) |
| Fred Davis (ENG) | 3–2 | Rex Williams (ENG) |
| Rex Williams (ENG) | 3–2 | John Pulman (ENG) |
| Fred Davis (ENG) | 3–2 | Jackie Rea (NIR) |
| Rex Williams (ENG) | 5–0 | Jackie Rea (NIR) |
| John Pulman (ENG) | 3–2 | Fred Davis (ENG) |
| Fred Davis (ENG) | 4–1 | Rex Williams (ENG) |
| John Pulman (ENG) | 4–1 | Jackie Rea (NIR) |
| Fred Davis (ENG) | 4–1 | Jackie Rea (NIR) |
| John Pulman (ENG) | 4–1 | Rex Williams (ENG) |
| John Pulman (ENG) | 3–2 | Fred Davis (ENG) |
| Jackie Rea (NIR) | 3–2 | Rex Williams (ENG) |
# 1973 Memphis State Tigers football team

The 1973 Memphis State Tigers football team represented Memphis State University (now known as the University of Memphis) as an independent during the 1973 NCAA Division I football season. In its second season under head coach Fred Pancoast, the team compiled an 8–3 record and outscored opponents by a total of 264 to 167. The team played its home games at Memphis Memorial Stadium in Memphis, Tennessee.
The team's statistical leaders included David Fowler with 759 passing yards, Dornell Harris with 564 rushing yards, Bobby Ward with 744 receiving yards, and Bobby Ward and Cliff Taylor with 42 points scored each.

## Schedule

| Date | Opponent | Site | Result | Attendance |
| September 8 | Louisville | Memphis Memorial StadiumMemphis, TN (rivalry) | W 28–21 | |
| September 15 | North Texas State | Memphis Memorial StadiumMemphis, TN | W 24–3 | 25,518 |
| September 22 | vs. Ole Miss | Jackson, MS (rivalry) | W 17–13 | 45,620 |
| September 29 | No. 15 Houston | Memphis Memorial StadiumMemphis, TN | L 21–35 | 40,126 |
| October 6 | at Kansas State | KSU StadiumManhattan, KS | L 16–21 | 34,970 |
| October 13 | Tulsa | Memphis Memorial StadiumMemphis, TN | W 28–16 | 10,420 |
| October 20 | at Florida State | Doak Campbell StadiumTallahassee, FL | W 13–10 | 28,883 |
| November 3 | Virginia Tech | Memphis Memorial StadiumMemphis, TN | W 49–16 | 27,454 |
| November 10 | Southern Miss | Memphis Memorial StadiumMemphis, TN (Black and Blue Bowl) | L 10–13 | 23,399 |
| November 17 | at Southwestern Louisiana | Cajun FieldLafayette, LA | W 41–6 | |
| November 24 | at Cincinnati | Nippert StadiumCincinnati, OH (rivalry) | W 17–13 | 3,215 |
| HomecomingRankings from AP Poll released prior to the game ||||||
# Dryanovo, Haskovo Province

Dryanovo, Haskovo Province is a village in the municipality of Simeonovgrad, in Haskovo Province, in southern Bulgaria.
# Driebergen

Driebergen is a former village and municipality in the Dutch province of Utrecht. It is first mentioned as Thriberghen in 1159. The former municipality of Driebergen existed until 1931, when it merged with Rijsenburg, to create the new municipality of Driebergen-Rijsenburg. In later years, due to growth of the villages of Driebergen and Rijsenburg, the villages themselves also merged, to become the single town of Driebergen-Rijsenburg. Since 2006, Driebergen-Rijsenburg has been part of the new municipality of Utrechtse Heuvelrug.Driebergen-Rijsenburg also houses the Driebergen Forest and Rijsenburg Forest in which the renowned Heidetuin is also located.

## Transport

* Driebergen-Zeist railway station
# Genetic sequencing

Genetic Sequencing may refer to:
* DNA sequencing
* Whole genome sequencing
# Auditorio Miguel Barragán

Auditorio Miguel Barragan is a 3,400-seat indoor arena located in San Luis Potosí City, Mexico. Located in the Unidad Deportiva Adolfo Lopez Mateos sports complex, it is used for basketball, concerts, lucha libre, boxing and other events.
# Auditorio Siglo XXI

Auditorio Metropolitano (originally Auditorio Siglo XXI) is an indoor amphitheatre located in Puebla, Mexico. It was designed by famed Mexican architect Pedro Ramírez Vázquez.

## About

The venue was commissioned in 2001, with construction beginning in 2002. The music hall opened January 2005, as a part of the Centro de Convenciones Puebla William O. Jenkins. It was known for its facade made of talavera tiles. In 2014, the venue began a controversial renovation removing the tiles with tempered glass. These changes were protested by Vázquez's son. Renovations began September 2014. During this time, a contest was held to rename the concert venue. In December 2014, it was announced the name was changing to Auditorio Metropolitano.

## Noted performers

* Alejandra Guzmán
* Alejandro Fernández
* Andrés Calamaro
* Backstreet Boys
* Bryan Adams
* Chicago
* Daniel Boaventura
* David Bisbal
* Edith Márquez
* Emmanuel
* Enrique Iglesias
* Fernando Delgadillo
* Franco De Vita
* Gloria Gaynor
* Il Divo
* Intocable
* Jethro Tull
* Juanes
* Judas Priest
* La Gusana Ciega
* Los Tigres Del Norte
* Luis Miguel
* Manuel Mijares
* Marco Antonio Solís
* Margarita La Diosa de la Cumbia
* Roberto Carlos
* Santana
* Sarah Brightman
* Silvio Rodríguez
* Wisin & Yandel
# Ed Healy

Edward P. Healy is a game designer who has worked primarily on role-playing games. He co-founded Eden Studios.

## Career

George Vasilakos, Alex Jurkat, and investor Ed Healy announced on July 4, 1997 their formation of gaming company Eden Studios; they also obtained the rights to Conspiracy X to continue the line.$^{:340}$ Healy had suggested the name "Eden" because the group wanted to begin their paradise job.$^{:340}$ Healy was still in college when Eden was founded. Healy was responsible for publishing All Flesh Must Be Eaten through Eden. Healy had to divest himself of ownership in Eden in 1997 when he was hired as a staff accountant at Deloitte & Touche, although he was still able to continue with game design.$^{:406}$
Healy discovered that the dice system used in the role-playing game Sorcerer by Ron Edwards was very similar to a mechanic for dice he was working on that was also similar to what was used in Risk so Healy abandoned that work.$^{:406}$ Healy was a business-minded gamer interested in independent role-playing games, and corresponded with Edwards via phone and e-mail after buying a copy of Sorcerer. Healy became friends with Edwards, and he joined the Gaming Outpost designer community.$^{:406}$ Healy recalled that the Gaming Outpost forums "had the vibe of a private club, not in an exclusionary way but just like dudes hanging out talking" like a sort of "town square" for people to discuss game design. The owners of Gaming Outpost were looking for help with business development, so they asked Healy soon after he joined and he suggested starting a network of cobranded role-playing sites to feed into Gaming Outpost.$^{:406}$ Bill Walton soon after brought on his role-playing advocacy site The Escapist, and Healy created a site with Edwards in December 1999 called Hephaestus's Forge, the "Internet Home of Indie Roleplaying Games".$^{:406}$ Healy designed the pages for Hephaestus' Forge, named for the Greek god of crafting, and arranged for hosting the site while intending that game discussion would happen on the Gaming Outpost forums. Healy and Edwards used Hephastus' Forge to support independent game ownership and publication, rather than corporate ownership. Healey continued with the Hephaestus's Forge until 2001. He was one of the founders of the new iteration of "The Forge" in 2001.
Healy joined the United States Army after the September 11 attacks and was deployed in Iraq, but left the army four years later when he started a family. Healy began doing advertising work while he was still in Iraq to assist Wolfgang Baur of Kobold Press, and joined as a game promoter in 2008.
Healy owns and operates the game marketing and promotions company Gamerati, based in DuPont, Washington. Healy founded Gamerati in June 2007.
Healy started the role-playing game podcast Atomic Array, with its first episode on July 4, 2008. In 2010, he won a Gold ENNIE Award for Atomic Array.
Healy was one of the co-authors on the role-playing game supplement PC Pearls (2008) from Goodman Games.
# Map of lattices

The concept of a lattice arises in order theory, a branch of mathematics. The Hasse diagram below depicts the inclusion relationships among some important subclasses of lattices.

## Proofs of the relationships in the map

1. A boolean algebra is a complemented distributive lattice. (def)
2. A boolean algebra is a heyting algebra.
3. A boolean algebra is orthocomplemented.
4. A distributive orthocomplemented lattice is orthomodular.
5. A boolean algebra is orthomodular. (1,3,4)
6. An orthomodular lattice is orthocomplemented. (def)
7. An orthocomplemented lattice is complemented. (def)
8. A complemented lattice is bounded. (def)
9. An algebraic lattice is complete. (def)
10. A complete lattice is bounded.
11. A heyting algebra is bounded. (def)
12. A bounded lattice is a lattice. (def)
13. A heyting algebra is residuated.
14. A residuated lattice is a lattice. (def)
15. A distributive lattice is modular.
16. A modular complemented lattice is relatively complemented.
17. A boolean algebra is relatively complemented. (1,15,16)
18. A relatively complemented lattice is a lattice. (def)
19. A heyting algebra is distributive.
20. A totally ordered set is a distributive lattice.
21. A metric lattice is modular.
22. A modular lattice is semi-modular.
23. A projective lattice is modular.
24. A projective lattice is geometric. (def)
25. A geometric lattice is semi-modular.
26. A semi-modular lattice is atomic.
27. An atomic lattice is a lattice. (def)
28. A lattice is a semi-lattice. (def)
29. A semi-lattice is a partially ordered set. (def)
# Lynn Township, Illinois

Lynn Township, Illinois may refer to one of the following townships:
* Lynn Township, Henry County, Illinois
* Lynn Township, Knox County, Illinois