Mathlib grew from 1.4M to 5.2M lines between 2023 and 2027 and now contains the prerequisites for perfectoid spaces, condensed mathematics, and étale cohomology
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Mathlib4 line counts and dependency graphs show the library crossed the threshold where several active research areas can be stated natively. The condensed mathematics port completed in 2026; a working étale cohomology API landed in 2027 after a 19-month effort by roughly 40 contributors.
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By 2035 a machine-generated proof of a previously open Anna…
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By 2035 a machine-generated proof of a previously open Annals-level conjecture will be formally verified in Lean and accepted without a human-written proof sketch
ai-forecasting
formal-verification
mathematics
virtues: Accurate unrated · Falsifiable unrated · Clear unrated · Novel unrated · Important unrated
this claim:
Mathlib grew from 1.4M to 5.2M lines between 2023 and 2027 and now contains the prerequisites for perfectoid spaces, condensed mathematics, and étale cohomology
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Evidence Supporting (1)
Machine-authored contributions accounted for 31% of merged Mathlib pull request…
Bears on the parent by showing library growth is no longer purely human, which weakens the objection that formalization capacity is bottlenecked on scarce human formalizers. The vulnerable assumption is the tagging convention's accuracy — self-reported and unaudited, it may overcount PRs where a human wrote the key step and a tool filled in details.
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