{ "name": "The Module Spend Table", "description": "Modules containing at least one declaration whose own proof term names a choice primitive directly, with the count broken down by primitive. Spending, as opposed to reach: a module with no direct spend can still be full of theorems that depend on choice through what they import.", "version": "2026-08-13", "sha256": "bb9dc4cbeadaf55e8a908c929b6739be9fa98f5d0b6538914fddbbc2ee6722c4", "url": "https://f-keys.com/gonzalgo/module-spend/", "seriesDoi": "https://doi.org/10.5281/zenodo.21900625", "license": "https://creativecommons.org/licenses/by/4.0/", "producedBy": { "software": "gonzalgo", "url": "https://pypi.org/project/gonzalgo/", "paper": "https://doi.org/10.5281/zenodo.21769846" }, "measured": { "Lean 4": "4.33.0 with Mathlib v4.33.0", "modules measured": 10599, "unit": "direct citation in a proof term, not reach" }, "fields": [ "module", "library", "declarations", "theorems", "spends", "spend_rate_pct", "choice", "propDecidable", "byContradiction", "em", "indefiniteDescription", "byCases", "statement_names_primitive" ], "displayed": [ { "key": "module", "label": "module" }, { "key": "library", "label": "library" }, { "key": "declarations", "label": "declarations" }, { "key": "spends", "label": "spends" }, { "key": "spend_rate_pct", "label": "rate" }, { "key": "byContradiction", "label": "byContradiction" }, { "key": "propDecidable", "label": "propDecidable" }, { "key": "choice", "label": "choice" } ], "rows": [ { "module": "Batteries.Data.List.Lemmas", "library": "Batteries", "declarations": 881, "theorems": 837, "spends": 168, "spend_rate_pct": 19.1, "choice": 0, "propDecidable": 2, "byContradiction": 166, "em": 0, "indefiniteDescription": 0, "byCases": 0, "statement_names_primitive": 0 }, { "module": "Mathlib.Topology.EMetricSpace.BoundedVariation", "library": "Mathlib", "declarations": 268, "theorems": 262, "spends": 108, "spend_rate_pct": 40.3, "choice": 0, "propDecidable": 2, "byContradiction": 104, "em": 2, "indefiniteDescription": 0, "byCases": 0, "statement_names_primitive": 0 }, { "module": "Mathlib.Algebra.Homology.SpectralObject.HasSpectralSequence", "library": "Mathlib", "declarations": 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