diff --git a/formalization.yaml b/formalization.yaml new file mode 100644 index 0000000..faa199f --- /dev/null +++ b/formalization.yaml @@ -0,0 +1,70 @@ +# yaml-language-server: $schema=https://raw.githubusercontent.com/mathlib-initiative/formalization.yaml/main/schema/formalization.schema.json + +version: "v0.4" + +project: + name: "PrimeGapsLib" + authors: [Evan Chen, Sidharth Hariharan, Kenny Lau, Bhavik Mehta, Ken Ono, Ashvin Swaminathan, Jesse Thorner, Yunzhou Xie] + responsible_maintainers: [Kenny Lau, Ashvin Swaminathan] + license: "Apache 2.0" + +sources: + - title: "Variants of the Selberg sieve" + authors: [D. H. J. Polymath] + id: "https://doi.org/10.1186/s40687-014-0012-7" + type: "article" + location: "Theorem 4(i)" + relationship: "Formalizes, conditional on the Bombieri-Vinogradov Theorem" + - title: "Small gaps between primes" + authors: [James Maynard] + id: "https://doi.org/10.4007/annals.2015.181.1.7" + type: "article" + location: "Theorem 1.4, second inequality" + relationship: "Formalizes the fact that the Bombieri-Vinogradov theorem implies them" + +classification: + arxiv: [math.NT] + +status: + scope: "Developing a consolidated Lean library for results on gaps between primes" + sorry_count: 0 + sorry_in_definitions: 0 + axioms: [propext, Classical.choice, Quot.sound] + main_results: + - declaration: "bombieriVinogradov_implies_frequently_prime_gap_le_246" + file: "PrimeGaps/Bounded246.lean" + sorry_count: 0 + axioms: [propext, Classical.choice, Quot.sound] + comparator_config: "Comparator/comparator.json" + literature_dependencies: + - statement: "The Bombieri-Vinogradov Theorem" + source: "Small gaps between primes (p.384)" + - declaration: "bombieriVinogradov_implies_prime_gap_le_246" + file: "PrimeGaps/Bounded246.lean" + sorry_count: 0 + axioms: [propext, Classical.choice, Quot.sound] + comparator_config: "Comparator/comparator.json" + literature_dependencies: + - statement: "The Bombieri-Vinogradov Theorem" + source: "Small gaps between primes (p.384)" + - declaration: "bombieriVinogradov_implies_nth_prime_gap_le_246" + file: "PrimeGaps/Bounded246.lean" + sorry_count: 0 + axioms: [propext, Classical.choice, Quot.sound] + comparator_config: "Comparator/comparator.json" + literature_dependencies: + - statement: "The Bombieri-Vinogradov Theorem" + source: "Small gaps between primes (p.384)" + +automation: + methods: + - method: "autonomous" + models: [AxiomProver] + - method: "manual" + notes: "Foundational definitions formalised manually, some definitions formalised autonomously, most theorems formalised autonomously" + +review: + status: "internally assessed" + reviewers: [Sidharth Hariharan, Kenny Lau, Bhavik Mehta, Ashvin Swaminathan, Yunzhou Xie] + +acknowledgements: "We acknowledge the dependence of our repository on Alex Kontorovich and Terence Tao's `PrimeNumberTheoremAnd` project."