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 3 research declarations. Search 10,000 more complete Mathlib declarations.

1 topic

3 results

Clear filters
Project-declaredLean 4.29.0-rc6

Exists finite inner ball cover

DeGiorgi.exists_finite_inner_ball_cover

Plain-language statement

A compact inner ball can be covered by finitely many smaller balls whose dilated closed balls still lie inside the ambient ball.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

View proof record
Project-declaredLean 4.29.0-rc6

Exists finite inner ball cover with card

DeGiorgi.exists_finite_inner_ball_cover_with_card

Plain-language statement

A quantitative version of exists_finite_inner_ball_cover with a coarse explicit cardinality bound depending only on r / ρ and d.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

View proof record
Project-declaredLean 4.29.0-rc6

Exists half Ball cover by eighth balls

DeGiorgi.exists_halfBall_cover_by_eighth_balls

Plain-language statement

A specialized quantitative cover tailored to the half-ball / eighth-ball geometry used in the crossover argument.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

View proof record