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 3 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.32.0

Time Like iff time lt space

Lorentz.Vector.timeLike_iff_time_lt_space

Plain-language statement

A vector is timelike if and only if its time component squared is less than the sum of its spatial components squared

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Timelike spatial lt time squared

Lorentz.Vector.timelike_spatial_lt_time_squared

Plain-language statement

For timelike vectors, the spatial norm squared is strictly less than the time component squared

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Timelike time dominates space

Lorentz.Vector.timelike_time_dominates_space

Plain-language statement

For timeLike vectors in Minkowski space, the inner product of the spatial part is less than the square of the time component

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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