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Update MaxwellEquations.lean

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jstoobysmith 2025-03-21 07:23:06 -04:00
parent d12947909d
commit 532e68e169
1 changed files with 5 additions and 5 deletions
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10
PhysLean/Electromagnetism/MaxwellEquations.lean
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@ -48,18 +48,18 @@ def GaussLawElectric (E : ElectricField) : Prop :=
def GaussLawMagnetic (B : MagneticField) : Prop :=
∀ x : SpaceTime, (∇⬝ B) x = 0
/-- Faraday's law. -/
def FaradayLaw (E : ElectricField) (B : MagneticField) : Prop :=
∀ x : SpaceTime, ∇× B x = μ₀ • (J x + ε₀ • ∂ₜ E x)
/-- Ampère's law. -/
def AmpereLaw (E : ElectricField) (B : MagneticField) : Prop :=
∀ x : SpaceTime, ∇× B x = μ₀ • (J x + ε₀ • ∂ₜ E x)
/-- Faraday's law. -/
def FaradayLaw (E : ElectricField) (B : MagneticField) : Prop :=
∀ x : SpaceTime, ∇× E x = - ∂ₜ B x
/-- Maxwell's equations. -/
def MaxwellEquations (E : ElectricField) (B : MagneticField) : Prop :=
𝓔.GaussLawElectric E ∧ GaussLawMagnetic B ∧
𝓔.FaradayLaw E B ∧ AmpereLaw E B
FaradayLaw E B ∧ 𝓔.AmpereLaw E B
end EMSystem
end Electromagnetism