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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 1,651 to 1,656 of 2,569 results.

Project-declaredLean 4.32.0

Contr Metric Val expand tmul

Lorentz.contrMetricVal_expand_tmul

Mathematical statement

The expansion of contrMetricVal into basis vectors.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Std Basis decomp

Lorentz.ContrMod.stdBasis_decomp

Mathematical statement

Decomposition of a contravariant Lorentz vector into the standard basis.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

To Lorentz Group det one

Lorentz.SL2C.toLorentzGroup_det_one

Mathematical statement

The determinant of the image of SL(2, ℂ) in the Lorentz group is one.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

To Lorentz Group fst col

Lorentz.SL2C.toLorentzGroup_fst_col

Mathematical statement

The first column of the Lorentz matrix formed from an element of SL(2, ℂ).

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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