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

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Project-declaredLean 4.32.0

Deriv has Var Adj Deriv At

Electromagnetism.ElectromagneticPotential.deriv_hasVarAdjDerivAt

Project documentation

The electromagnetic potential from an electric and a magnetic field. This defines the electromagnetic potential in the Poincare gauge. -/ noncomputable def ofElectromagneticField (c : SpeedOfLight) (E : Time → Space 3 → EuclideanSpace ℝ (Fin 3)) (B : Time → Space 3 → EuclideanSpace ℝ (Fin 3)) : ElectromagneticPotential 3 := let A := fun t (x : Space) => -...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Space Time deriv action eq sum

Electromagnetism.ElectromagneticPotential.spaceTime_deriv_action_eq_sum

Project documentation

The electromagnetic potential from an electric and a magnetic field. This defines the electromagnetic potential in the Poincare gauge. -/ noncomputable def ofElectromagneticField (c : SpeedOfLight) (E : Time → Space 3 → EuclideanSpace ℝ (Fin 3)) (B : Time → Space 3 → EuclideanSpace ℝ (Fin 3)) : ElectromagneticPotential 3 := let A := fun t (x : Space) => -...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Tensor Deriv eval eq

Electromagnetism.ElectromagneticPotential.tensorDeriv_eval_eq

Plain-language statement

Evaluation of the tensor components of ∂_ μ A x ν.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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