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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 1,057 to 1,062 of 2,569 results.

Project-declaredLean 4.32.0

Dual Left Left To Matrix ρ

Fermion.dualLeftLeftToMatrix_ρ

Mathematical statement

The group action of SL(2,ℂ) on dualLeftHanded ⊗ leftHanded is equivalent to (M.1⁻¹)ᵀ * leftDualLeftToMatrix v * (M.1)ᵀ.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Dual Right Dual Right To Matrix ρ

Fermion.dualRightDualRightToMatrix_ρ

Mathematical statement

The group action of SL(2,ℂ) on dualRightHanded ⊗ dualRightHanded is equivalent to ((M.1⁻¹).conjTranspose * rightRightToMatrix v * (((M.1⁻¹).conjTranspose)ᵀ.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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