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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 1,867 to 1,872 of 2,569 results.

Project-declaredLean 4.32.0

Pauli Co contr pauli Contr

PauliMatrix.pauliCo_contr_pauliContr

Mathematical statement

The statement that σᵥᵃᵇ σᵛᵃ'ᵇ' = 2 εᵃᵃ' εᵇᵇ'.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Pauli Self Adjoint span

PauliMatrix.pauliSelfAdjoint_span

Mathematical statement

The Pauli matrices span all self-adjoint matrices.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Pauli Self Adjoint' span

PauliMatrix.pauliSelfAdjoint'_span

Mathematical statement

The Pauli matrices where σi are negated span all Self-adjoint matrices.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Self Adjoint ext

PauliMatrix.selfAdjoint_ext

Mathematical statement

Two 2×2 self-adjoint matrices are equal if the real traces of each matrix multiplied by each of the Pauli-matrices are equal.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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