therefore
Sign up
Open navigation

Source-pinned research

Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

This index contains 1 research declarations. Search 10,000 more complete Mathlib declarations.

1 topic

1 result

Clear filters
Project-declaredLean 4.32.0

Near 1 geometric bound

near_1_geometric_bound

Plain-language statement

For 0≤t≤10\le t\le1, the reciprocal of 1−2−t1-2^{-t} is controlled in the extended nonnegative reals by

(1−2−t)−1≤2t−1.(1-2^{-t})^{-1}\le 2t^{-1}.

harmonic analysisFourier analysismeasure theory

Source project: Carleson formalization

Person-level attribution pending.

View proof record