@article{vonNeumann1928, author = {von Neumann, John}, title = {{Zur Theorie der Gesellschaftsspiele}}, journal = {Mathematische Annalen}, volume = {100}, pages = {295--320}, year = {1928}, doi = {10.1007/BF01448847}, note = {\url{https://doi.org/10.1007/BF01448847}} } @article{Sion1958, author = {Sion, Maurice}, title = {On general minimax theorems}, journal = {Pacific Journal of Mathematics}, volume = {8}, number = {1}, pages = {171--176}, year = {1958}, doi = {10.2140/pjm.1958.8.171}, note = {\url{https://doi.org/10.2140/pjm.1958.8.171}} } @article{Komiya1988, author = {Komiya, Hidetoshi}, title = {Elementary proof for {Sion}'s minimax theorem}, journal = {Kodai Mathematical Journal}, volume = {11}, number = {1}, pages = {5--7}, year = {1988}, doi = {10.2996/kmj/1138038812}, note = {\url{https://doi.org/10.2996/kmj/1138038812}} } @inproceedings{Mathlib2020, author = {{The mathlib Community}}, title = {The {Lean} mathematical library}, booktitle = {Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs}, year = {2020}, pages = {367--381}, publisher = {ACM}, doi = {10.1145/3372885.3373824}, note = {\url{https://arxiv.org/abs/1910.09336}} } @misc{MathlibSion, author = {Chambert-Loir, Antoine and Dedecker, Anatole}, title = {Formalization of {Sion}'s version of the von {Neumann} minimax theorem}, year = {2025}, howpublished = {Mathlib 4, \texttt{Mathlib/Topology/Sion.lean}}, note = {Pinned revision \nolinkurl{065356127b1dc0016f66b7283ce0ce2c4055aa55}, accessed September 30, 2026. \url{https://github.com/leanprover-community/mathlib4/blob/065356127b1dc0016f66b7283ce0ce2c4055aa55/Mathlib/Topology/Sion.lean}} } @misc{MinimaxArtifact, author = {Ramos, Arthur Freitas}, title = {Von {Neumann}'s minimax theorem in {Lean}}, year = {2026}, howpublished = {Version-pinned source repository}, note = {Revision \nolinkurl{f1d1d00591548c174407cd59ddc623a461c082c1}, accessed September 30, 2026. \url{https://github.com/Arthur742Ramos/minimax-theorem-lean/tree/f1d1d00591548c174407cd59ddc623a461c082c1}} } @misc{VerificationRun, author = {{PalomarRegistry}}, title = {Verification workflow for the minimax submission}, year = {2026}, howpublished = {Workflow run 36719764602}, note = {Mechanical report checked September 30, 2026, for source revision \nolinkurl{f1d1d00591548c174407cd59ddc623a461c082c1}. \url{https://github.com/PalomarRegistry/PalomarSubmission/actions/runs/36719764602}} }