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.

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Project-declaredLean 4.32.0

Electric Field cont Diff

Electromagnetism.ElectromagneticPotential.electricField_contDiff

Project documentation

The electric field of the electromagnetic potential created from the electric field E and the magnetic field B is E, as long as Gauss's law for magnetism and Faraday's law are satisfied. -/ lemma ofElectromagneticField_electricField {c : SpeedOfLight} (E : Time → Space 3 → EuclideanSpace ℝ (Fin 3)) (B : Time → Space 3 → EuclideanSpace ℝ (Fin 3)) (E_...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Electric Field eq field Strength Matrix

Electromagnetism.ElectromagneticPotential.electricField_eq_fieldStrengthMatrix

Project documentation

The electric field of the electromagnetic potential created from the electric field E and the magnetic field B is E, as long as Gauss's law for magnetism and Faraday's law are satisfied. -/ lemma ofElectromagneticField_electricField {c : SpeedOfLight} (E : Time → Space 3 → EuclideanSpace ℝ (Fin 3)) (B : Time → Space 3 → EuclideanSpace ℝ (Fin 3)) (E_...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Of Electromagnetic Field electric Field

Electromagnetism.ElectromagneticPotential.ofElectromagneticField_electricField

Plain-language statement

The electric field of the electromagnetic potential created from the electric field E and the magnetic field B is E, as long as Gauss's law for magnetism and Faraday's law are satisfied.

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

View proof record