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

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Project-declaredLean 4.32.0

Left Left To Matrix ρ

Fermion.leftLeftToMatrix_ρ

Plain-language statement

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

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Right Dual Right To Matrix ρ

Fermion.rightDualRightToMatrix_ρ

Plain-language statement

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

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Right Right To Matrix ρ

Fermion.rightRightToMatrix_ρ

Plain-language statement

The group action of SL(2,ℂ) on rightHanded ⊗ rightHanded is equivalent to (M.1.map star) * rightRightToMatrix v * ((M.1.map star))ᵀ.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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