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THE RESEARCH ATLAS VOL. 04 / TWO LANGUAGES

Mathematical ideas.
Formal connections.

From a statement on the page to a declaration in Lean. Explore two sides of the same mathematical landscape, connected by the references in each project’s blueprint.

24,950informal entries
16,682Lean declarations
16,761resolved connections
60 PROJECTS · One view of informal and formal mathematics.About these connections ↗
Informal ↔ Formal
Informal Formal
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Connecting the mathematical landscape…

Loading statements, declarations, and their blueprint connections.

READING THIS MAP

Circles are informal statements and proofs; squares are Lean declarations. Cross-links connect the two sides. Colors group projects. Enable “Show dependencies” to explore informal references and proof links within the left side; arrows follow the source’s direction. Formal-to-formal dependencies are not included in this dataset. Entries without a resolved counterpart remain visible. Unresolved references appear as hollow squares and dashed lines when enabled. Data, coverage & provenance ↗