Question: Are both National Autonomous University of Mexico and University of Lahore public institutions?
Context: The University of Lahore (Urdu: ‎ ) or UOL is a private university located in Lahore, Punjab, Pakistan.  It was founded at collegiate level in 1999 under the IBADAT Educational Trust and was granted full degree awarding status in 2002.  It is one of the Largest Private universities in Pakistan.  Subjects include Medicine, Engineering, Arts and Social Sciences.  All programs are recognized by the Higher Education Commission (HEC) and government regulatory bodies in Pakistan.  It is accredited by the Pakistan Engineering Council (PEC), Pakistan Bar Council, Pakistan Medical and Dental Council, Pakistan Nursing Council, Pharmacy Council of Pakistan etc. The Orquesta Filarmónica de la UNAM (National Autonomous University of Mexico's Philharmonic Orchestra, also known as OFUNAM) was founded in 1936 and is the oldest symphonic group in Mexico City.  It is based at Sala Nezahuacóyotl at the University City of the National Autonomous University of Mexico, in Mexico City.  It was the first orchestra in Mexico to present annual concert seasons.  Also, it is already a tradition that the orchestra presents an annual program of Mexican symphonic music. Science and technology have a long history in Mexico.  Ancient Mexican civilizations developed mathematics, astronomy, and calendrics, and solved technological problems of water management for agriculture and flood control in Central Mexico.  Following the Spanish conquest in 1521, New Spain (colonial Mexico) was brought into the European sphere of science and technology.  The Royal and Pontifical University of Mexico, established in 1551, was a hub of intellectual and religious development in colonial Mexico for over a century.  During the Spanish American Enlightenment in Mexico, the colony made considerable progress in science, but following the war of independence and political instability in the early nineteenth century, progress stalled.  During late 19th century under the regime of Porfirio Díaz, the process of industrialization began in Mexico.  Following the Mexican Revolution, a ten-year civil war, Mexico made significant progress in science and technology.  During the 20th century, new universities, such as the National Polytecnical Institute, Monterrey Institute of Technology and research institutes, such as those at the National Autonomous University of Mexico, were established in Mexico. Juan Ramón de la Fuente Ramírez (born 5 September 1951 in Mexico City) is a Mexican psychiatrist, academician and politician who served as Secretary of Health in the cabinet of President Ernesto Zedillo (1994–1999) and as rector of the National Autonomous University of Mexico (UNAM) from 1999 to 2007.  He is currently Professor at National Autonomous University of Mexico (UNAM) and Chairs the Board of the "Aspen Institute Mexico". The National Autonomous University of Mexico (Spanish: "Universidad Nacional Autónoma de México, - literal translation: Autonomous National University of Mexico", UNAM) is a public research university in Mexico, one of the top universities in the world, and its campus is a UNESCO World Heritage site that was designed by some of Mexico's best-known architects of the 20th century.  Murals in the main campus were painted by some of the most recognized artists in Mexican history, such as Diego Rivera and David Alfaro Siqueiros.  In 2016, it had an acceptance rate of only 8%. .  UNAM generates a number of strong research publications and patents in diverse areas, such as robotics, computer science, mathematics, physics, human-computer interaction, history, philosophy, among others.  All Mexican Nobel laureates are either alumni or faculty of UNAM. The Palace of Mining, also Palace of Mines, (Spanish: Palacio de Minería ) in Mexico City is one of the masterpieces of Neoclassical architecture in the Americas.  It was designed and built between 1797 and 1813 by Valencian Spanish sculptor and architect Manuel Tolsá.  It was built to house the Royal School of Mines and Mining of the Royal Court at the request of its director, Fausto Elhuyar, a scientifically-trained mineralogist.  Later it housed other institutions such as the National University, the School of Engineering, College of Mines and the Physics Institute of the National Autonomous University of Mexico. Ángel César Mendoza Arámburo (15 December 1934 - 25 March 2014) was a Mexican politician, the first elected governor in the state of Baja California Sur for the period 1975 to 1981.  A lawyer for the National Autonomous University of Mexico, he held various positions within the Institutional Revolutionary Party.  He was federal deputy in the legislature XLVII Congress and was Secretary for Tax Inspectorate of Ministry of Finance and Public Credit (1982).  Acting as governor, founded in 1976, the Autonomous University of Baja California Sur.  He was married to Luz Garayzar with whom he had three children: Guadalupe, Carlos and Cesar Angel. Gustavo Martínez Cabañas (6 July 1911 – 2003) was a Mexican public administrator and economist.  In 1949, he was appointed the first Executive Secretary of the Economic Commission for Latin America and the Caribbean (ECLAC), but remained in that position for only a year and was replaced by Raúl Prebisch.  He also worked at the National Autonomous University of Mexico as Professor of Public Administration and Economics, and in various consulting capacities with the United Nations, the Committee to Reform Mexico's Public Administration, the Organization of American States (OAS) and the Inter-American Development Bank.  He has written many papers, reports and financial studies dealing mainly with different aspects of Mexico's economy and public administration. Miguel Ángel Mancera Espinosa (] ; born January 16, 1966) is a Mexican lawyer and politician who works with the Party of the Democratic Revolution (PRD).  He is the current Mayor of Mexico City.  Mancera graduated from the Faculty of Law of the National Autonomous University of Mexico (UNAM) in 1989, and he was awarded the Gabino Barreda Medal two years later for being the best student of his class.  He has a master's degree from the University of Barcelona and the Metropolitan Autonomous University and a Juris Doctor from the UNAM. Mario Ignacio Álvarez Ledesma is a Mexican lawyer, politician, and professor, author of law and human rights books and articles.  He has been First Visitor General of the National Human Rights Commission (CNDH) (1997-1998) has served as Executive Director of the Human Rights National Center of the National Human Rights Commission (CNDH).  Álvarez has given a chair in Universidad de Anáhuac, Universidad Latinoamericana, Instituto Tecnológico Autónomo de México, the Law School unit at the National Autonomous University of Mexico, Universidad de Nápoles Federico II, Istituto Italiano per gli Studi Filosofici and the Law School of Universidad de Perugia.  Member of the “Claustro de Doctores” at the National Autonomous University of Mexico
Answer: no