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

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2569 results

Project-declaredLean 4.28.0

Sᵥₙ pure tripartite triangle

Sᵥₙ_pure_tripartite_triangle

Plain-language statement

Triangle inequality for pure tripartite states: S(A) ≤ S(B) + S(C).

quantum informationentropyquantum channels

Source project: quantumInfo

Person-level attribution pending.

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Project-declaredLean 4.28.0

Sᵥₙ subadditivity

Sᵥₙ_subadditivity

Plain-language statement

"Ordinary" subadditivity of von Neumann entropy

quantum informationentropyquantum channels

Source project: quantumInfo

Person-level attribution pending.

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Project-declaredLean 4.28.0

Sᵥₙ wm

Sᵥₙ_wm

Plain-language statement

Weak monotonicity, version with partial traces.

quantum informationentropyquantum channels

Source project: quantumInfo

Person-level attribution pending.

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Project-declaredLean 4.30.0

Swap t heat Kernel

swap_t_heatKernel

Plain-language statement

Swap the time derivative t\partial_t with the integral \int.

partial differential equationsSobolev spacesanalysis

Source project: PDE

Person-level attribution pending.

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Project-declaredLean 4.30.0

Swap x heat Kernel

swap_x_heatKernel

Plain-language statement

Swap the spatial derivative x\partial_x with the integral \int.

partial differential equationsSobolev spacesanalysis

Source project: PDE

Person-level attribution pending.

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