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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 2,569 curated research declarations and 119,070 complete package declarations. Search 10,000 more complete Mathlib declarations.

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Showing 727 to 732 of 2,569 results.

Project-declaredLean 4.29.0-rc6

Bilin Form Integrand Of Coeff add left

DeGiorgi.bilinFormIntegrandOfCoeff_add_left

Mathematical statement

The bilinear-form integrand is additive in the left slot.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Bilin Form Integrand Of Coeff smul left

DeGiorgi.bilinFormIntegrandOfCoeff_smul_left

Mathematical statement

The bilinear-form integrand is homogeneous in the left slot.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Caccioppoli localize on subset

DeGiorgi.caccioppoli_localize_on_subset

Mathematical statement

Localization step for weighted Caccioppoli on nested sets.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Caccioppoli weighted on ball of ball Pos Part

DeGiorgi.caccioppoli_weighted_on_ball_of_ballPosPart

Project documentation

Ball-specialized weighted Caccioppoli inequality, using the generalized cutoff admissibility theorem from the previous section.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Caccioppoli weighted on ball of pos Part Approx

DeGiorgi.caccioppoli_weighted_on_ball_of_posPartApprox

Mathematical statement

Ball-specialized weighted Caccioppoli inequality with the truncation witness constructed from the concrete Chapter 02 positive-part API.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Campanato implies holder

DeGiorgi.campanato_implies_holder

Mathematical statement

A Campanato bound determines a Hölder representative up to a.e. equality.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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