@article{Brown1967, author = {Brown, Ronald}, title = {Groupoids and {Van Kampen}'s Theorem}, journal = {Proceedings of the London Mathematical Society (3)}, volume = {17}, number = {3}, year = {1967}, pages = {385--401}, doi = {10.1112/plms/s3-17.3.385}, note = {\url{https://doi.org/10.1112/plms/s3-17.3.385}} } @inproceedings{BasoldBruinLawson2024, author = {Basold, Henning and Bruin, Peter and Lawson, Dominique}, title = {The Directed {Van Kampen} Theorem in {Lean}}, booktitle = {15th International Conference on Interactive Theorem Proving (ITP 2024)}, editor = {Bertot, Yves and Kutsia, Temur and Norrish, Michael}, series = {Leibniz International Proceedings in Informatics}, volume = {309}, publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik}, year = {2024}, pages = {8:1--8:18}, doi = {10.4230/LIPIcs.ITP.2024.8}, note = {\url{https://doi.org/10.4230/LIPIcs.ITP.2024.8}} } @misc{ClassicalArtifact, author = {Ramos, Arthur Freitas}, title = {Classical {Seifert--van Kampen} theorem for the fundamental groupoid}, year = {2026}, howpublished = {Lean repository, registered commit \nolinkurl{874680e16db88b4a41daadf56eafbac79fd2f748}}, note = {\url{https://github.com/Arthur742Ramos/classical-svk-lean/tree/874680e16db88b4a41daadf56eafbac79fd2f748}. Accessed September 30, 2026} } @misc{PalomarSVK, author = {{Palomar Registry}}, title = {Classical {Seifert--van Kampen} theorem for the fundamental groupoid}, year = {2026}, howpublished = {Immutable registry record PALOMAR-2026-09-25-000004, version 1}, note = {Registered September 25, 2026. \url{https://data.palomar-registry.org/entries/PALOMAR-2026-09-25-000004-v1.json}. Accessed September 30, 2026} } @misc{MathlibPinned, author = {{Mathlib Contributors}}, title = {{Mathlib} fundamental groupoid and categorical infrastructure}, year = {2026}, howpublished = {Source repository, commit \nolinkurl{065356127b1dc0016f66b7283ce0ce2c4055aa55}}, note = {\url{https://github.com/leanprover-community/mathlib4/tree/065356127b1dc0016f66b7283ce0ce2c4055aa55}. In particular, \nolinkurl{Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean}. Accessed September 30, 2026} } @misc{DirectedArtifact, author = {Lawson, Dominique}, title = {Directed-Topology-{Lean}-4}, year = {2024}, howpublished = {Source repository, pinned commit \nolinkurl{009529606c66d37ef93b4b81b8587f71ce4d2c56}}, note = {Attribution and baseline specified by the registered artifact's vendor manifest. \url{https://github.com/Dominique-Lawson/Directed-Topology-Lean-4/tree/009529606c66d37ef93b4b81b8587f71ce4d2c56}. Accessed September 30, 2026} } @misc{ComputationalPathsArtifact, author = {Ramos, Arthur Freitas}, title = {{ComputationalPathsLean}}, year = {2026}, howpublished = {Related source repository, snapshot \nolinkurl{257c659b7973aeda900d86a5da73b208712c7523}}, note = {\url{https://github.com/Arthur742Ramos/ComputationalPathsLean/tree/257c659b7973aeda900d86a5da73b208712c7523}. Relationship described in the registered artifact's provenance record. Accessed September 30, 2026} } @misc{IsabelleSVK, author = {Ramos, Arthur Freitas and Hulak, David Barros and de Queiroz, Ruy Jose Guerra Barretto}, title = {The Classical {Seifert--van Kampen} Theorem}, howpublished = {Archive of Formal Proofs}, year = {2026}, month = may, note = {Entry dated May 9, 2026. \url{https://isa-afp.org/entries/Seifert-Van-Kampen.html}. Accessed September 30, 2026} }