| # [Comparator](https://github.com/leanprover/comparator) challenges | |
| Install `comparator`, `landrun`, and `lean4export`, and make them available on `PATH`. | |
| Then, from `lean/`: | |
| ```sh | |
| lake update | |
| lake exe cache get | |
| lake env comparator ComparatorChallenges/QuasiRiemannHypothesis.json | |
| ``` | |
| ## Supporting-result comparisons | |
| These setups verify supporting results, not the corresponding papers’ main | |
| theorems: | |
| - `CharacterVarietiesAllSeamsSupport.json`: compatibility of the produced marked | |
| solution with every seam equation. | |
| - `CartierChartCompactnessSupport.json`: compactness of normalized chart-field | |
| retractions. | |
| - `SurfaceConeCandidateSupport.json`: ring-theoretic properties of the completed | |
| surface cone. | |
| - `TraceIdealTransportSupport.json`: transport of finite and zero ideals, with | |
| the construction-provider statements required by the original comparison. | |
| - `HoneycombBridgeMassSupport.json`: finiteness and quarter-power bounds for the | |
| strict honeycomb bridge mass. | |
| See the [scope notes](../docs/) for per-paper coverage and limitations. | |