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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 1,051 to 1,056 of 2,569 results.

Project-declaredLean 4.32.0

Contr dual Left Left Unit

Fermion.contr_dualLeftLeftUnit

Mathematical statement

Contraction on the right with dualLeftLeftUnit does nothing.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Contr dual Right Right Unit

Fermion.contr_dualRightRightUnit

Mathematical statement

Contraction on the right with dualRightRightUnit does nothing.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Contr left Dual Left Unit

Fermion.contr_leftDualLeftUnit

Mathematical statement

Contraction on the right with leftDualLeftUnit does nothing.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Contr right Dual Right Unit

Fermion.contr_rightDualRightUnit

Mathematical statement

Contraction on the right with rightDualRightUnit does nothing.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Dual Leftdual Left To Matrix ρ

Fermion.dualLeftdualLeftToMatrix_ρ

Mathematical statement

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

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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