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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 1,741 to 1,746 of 2,569 results.

Project-declaredLean 4.28.0

Mixed convex roof of pure

mixed_convex_roof_of_pure

Mathematical statement

The mixed convex roof extension of f : MState d → ℝ≥0 applied to a pure state ψ is f (pure ψ).

quantum informationentropyquantum channels

Source project: quantumInfo

Person-level attribution pending.

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Project-declaredLean 4.32.0

In Quad Sol Prop iff proj in Quad Prop

MSSMACC.AnomalyFreePerp.inQuadSolProp_iff_proj_inQuadProp

Mathematical statement

The conditions inQuadSolProp R and inQuadProp (proj R.1.1) are equivalent. This is to be expected since both R and proj R.1.1 define the same plane with Y₃ and B₃.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Acc Cube ext

MSSMACCs.accCube_ext

Project documentation

Extensionality lemma for accCube.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.28.0

Fidelity self eq one

MState.fidelity_self_eq_one

Mathematical statement

A state has perfect fidelity with itself.

quantum informationentropyquantum channels

Source project: quantumInfo

Person-level attribution pending.

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Project-declaredLean 4.28.0

Ket Is Prod iff rank eq one

MState.Ket.IsProd_iff_rank_eq_one

Mathematical statement

A ket on a product space is a product state if and only if its coefficient matrix has rank 1.

quantum informationentropyquantum channels

Source project: quantumInfo

Person-level attribution pending.

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