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

Dual Right Dual Right To Matrix ρ

Fermion.dualRightDualRightToMatrix_ρ

Plain-language 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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Project-declaredLean 4.32.0

Dual Right Right To Matrix ρ

Fermion.dualRightRightToMatrix_ρ

Plain-language statement

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

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Left Dual Left To Matrix ρ

Fermion.leftDualLeftToMatrix_ρ

Plain-language statement

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

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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