OpenMath · research in context

A shared record of mathematical work.

Trace a claim to its source, understand the prior work, and inspect exactly what a result establishes. This reference example follows one known theorem through a concrete task and two local Lean runs.

A connected example

Begin with a known theorem, then follow the claim, the next piece of work, and its recorded outcome.

Problem · elementary number theory

Why are there infinitely many primes?

The source note, related formal statements, and proof idea are linked in one place.

Known theorem

Follow-up task

Formalize a prime strictly above every bound

A bounded Lean exercise. A sample solution and its failed predecessor are both recorded.

View task and context →

Follow the work

01 · Understand

Source and claims

Read the cited wording and see how related formal statements are linked.

Inspect a claim →

02 · Continue

Task and context

Start from a pinned set of sources, proof ideas, and the known failed route.

Open starting context →

03 · Assess

Runs and review

Compare the Lean outcomes with source alignment and human review shown separately.

Inspect the passing run →
Coverage and review. One OpenMath-authored note and three pinned mathlib files about natural-number primes; no literature-wide search or completeness claim. Independent mathematical review of the source links and explanation is pending.