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Coq Coq correct! verification of type checking and erasure for Coq, in Coq., , , , and . Proc. ACM Program. Lang., 4 (POPL): 8:1-8:28 (2020)Subset Coercions in Coq. TYPES'06, volume 4502 of Lecture Notes in Computer Science, page 237-252. Springer, (2007)Equations for Hereditary Substitution in Leivant's Predicative System F: A Case Study., and . CoRR, (2015)First-Class Type Classes., and . TPHOLs, volume 5170 of Lecture Notes in Computer Science, page 278-293. Springer, (2008)Universe Polymorphism in Coq., and . ITP, volume 8558 of Lecture Notes in Computer Science, page 499-514. Springer, (2014)Equations reloaded: high-level dependently-typed functional programming and proving in Coq., and . Proc. ACM Program. Lang., 3 (ICFP): 86:1-86:29 (2019)Un environnement pour la programmation avec types dépendants. Université Paris 11, Orsay, France, (December 2008)Definitional proof-irrelevance without K., , , and . Proc. ACM Program. Lang., 3 (POPL): 3:1-3:28 (2019)The MetaCoq Project., , , , , , , , and . J. Autom. Reason., 64 (5): 947-999 (2020)Touring the MetaCoq Project (Invited Paper).. LFMTP, volume 337 of EPTCS, page 13-29. (2021)