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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 1,063 to 1,068 of 2,569 results.

Project-declaredLean 4.32.0

Dual Right Right To Matrix ρ

Fermion.dualRightRightToMatrix_ρ

Mathematical 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

Mathematical 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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Project-declaredLean 4.32.0

Left Left To Matrix ρ

Fermion.leftLeftToMatrix_ρ

Mathematical 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

Left Metric Val expand tmul

Fermion.leftMetricVal_expand_tmul

Mathematical statement

Expansion of leftMetricVal into the left basis.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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