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17 changes: 5 additions & 12 deletions formalization.yaml
Original file line number Diff line number Diff line change
Expand Up @@ -6,7 +6,7 @@ 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"
license: "Apache-2.0"

sources:
- title: "Variants of the Selberg sieve"
Expand All @@ -15,32 +15,25 @@ sources:
type: "article"
location: "Theorem 4(i)"
relationship: "formalizes"
source_note: "Formalises the fact that the Bombieri-Vinogradov theorem implies it"
note: "Formalises the fact that the Bombieri-Vinogradov theorem implies it"
- 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"
source_note: "Formalises the fact that the Bombieri-Vinogradov theorem implies it"
note: "Formalises the fact that the Bombieri-Vinogradov theorem implies it"

classification:
arxiv: [math.NT]
msc2020: [11N05, 11N35, 11N36, 11P32] # Based on the MSC classifications of the sources

status:
scope: "Developing a consolidated Lean library for results on gaps between primes"
scope: "Developing a consolidated Lean library for results on gaps between primes, the flagship result being that the Bombieri-Vinogradov theorem implies that that there are infinitely many pairs of primes separated by no more than 246."
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
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