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KADIRI: Limit of I_2(T), equation 14#1602

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KADIRI: Limit of I_2(T), equation 14#1602
Robby955 wants to merge 3 commits into
AlexKontorovich:mainfrom
Robby955:kadiri-eq14-limit-i2-2026-06-18

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@Robby955 Robby955 commented Jun 18, 2026

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This packages equation (14) of Théorème 3.1 (Kadiri 2005): the T → ∞ limit of I_2(T), the companion piece to equation (13).

As with (13), the argument rests on the Laplace-inversion results merged in #1579 and #1589, and the supporting lemmas are isolated in a new KadiriEq14 module so the Kadiri.lean change is just the node and its wiring. This module is on the larger side; if maintainers would rather it be split further before review, let me know the suggested improvement in the code/design and I can break it up.

refactoring to v4.31.0 in progress

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@Robby955 Robby955 marked this pull request as ready for review June 18, 2026 06:11
@Robby955 Robby955 marked this pull request as draft June 18, 2026 06:16
@Robby955 Robby955 marked this pull request as ready for review June 18, 2026 06:51
@Robby955 Robby955 changed the title KADIRI: Limit of I_2(T), equation 14 (#1543) KADIRI: Limit of I_2(T), equation 14 Jun 18, 2026
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awaiting-review

@Robby955 Robby955 force-pushed the kadiri-eq14-limit-i2-2026-06-18 branch from 4022e32 to 7d3b86d Compare June 18, 2026 22:24
Robby955 added 3 commits June 21, 2026 19:04
…n LaplaceInversion

Remove the eight private duplicates of bridge, tendsto, cpow, and sinc-kernel
lemmas that are already public in PrimeNumberTheoremAnd/LaplaceInversion.lean, and
call the prefix-free versions directly.
Replace the over-specific convert/simp step for
(volume : Measure ℝ).comap Neg.neg = volume with an explicit
MeasurableEquiv.comap_symm rewrite, which closes the goal under the
current mathlib normal form.
@Robby955 Robby955 force-pushed the kadiri-eq14-limit-i2-2026-06-18 branch from e02d5b7 to 4084ce9 Compare June 22, 2026 00:13
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