Use case
Mathematics researchers and formal verification engineers open this repository after results on Navier-Stokes and Euler equations are published, feed the accompanying Lean certificate files into the Lean proof assistant, check the derivation steps one by one, obtain a machine-checkable pass or fail result, and then interpret its mathematical meaning themselves.
The prior approach is readers and referees re-deriving proofs by hand and relying on peer trust, with no executable machine check; this repository publishes certificates with the results, turning review from manual reading into a runnable Lean check.
Public facts show the repository ships Lean certificates alongside published results, targeting the pain that manual re-checking of long derivations is error-prone and referees cannot independently re-run a proof; however, no public data quantifies error rates, review time, or consequences of mistakes, so pain intensity is a workflow-structure inference.
xOcto's call
Demand is evidenced
The trend is that frontier model teams now ship formal proof certificates as public research deliverables rather than paper appendices. The opening is in fields with hard correctness requirements such as mathematics, cryptography and chip verification: make machine-checkable proofs a delivery standard for peer review, teaching or compliance, instead of building another general theorem prover.
Reason to use it
Why users would choose it
Inference: instead of re-deriving line by line by hand, users run Lean to machine-check the certificates, removing the 'does the proof hold step by step' burden from manual reading and yielding a checkable pass or fail; hence researchers working on PDE and fluid formalization, and referees or verification engineers needing independent checks, would choose it after results are published. The star count rising from 1,938 to 1,982 indicates attention, not sustained use.
Where the easy answer breaks down
The tension worth following
An English validation note will follow from the public evidence.
If this is your job
Worth trying. Inference: instead of re-deriving line by line by hand, users run Lean to machine-check the certificates, removing the 'does the proof hold step by step' burden from manual reading and yielding a checkable pass or fail; hence researchers working on PDE and fluid formalization, and referees or verification engineers needing independent checks, would choose it after results are published. The star count rising from 1,938 to 1,982 indicates attention, not sustained use.
Entry and what to borrow
The trend is that frontier model teams now ship formal proof certificates as public research deliverables rather than paper appendices. The opening is in fields with hard correctness requirements such as mathematics, cryptography and chip verification: make machine-checkable proofs a delivery standard for peer review, teaching or compliance, instead of building another general theorem prover.