refactor: Lint
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@ -5,6 +5,7 @@ Authors: Joseph Tooby-Smith
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-/
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import HepLean.SpaceTime.LorentzGroup.Basic
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import Mathlib.RepresentationTheory.Basic
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import HepLean.SpaceTime.LorentzVector.AsSelfAdjointMatrix
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/-!
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# The group SL(2, ℂ) and it's relation to the Lorentz group
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@ -86,7 +87,8 @@ In the next section we will restrict this homomorphism to the restricted Lorentz
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lemma iff_det_selfAdjoint (Λ : Matrix (Fin 1 ⊕ Fin 3) (Fin 1 ⊕ Fin 3) ℝ): Λ ∈ LorentzGroup 3 ↔
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∀ (x : selfAdjoint (Matrix (Fin 2) (Fin 2) ℂ)),
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det ((toSelfAdjointMatrix ∘ toLin LorentzVector.stdBasis LorentzVector.stdBasis Λ ∘ toSelfAdjointMatrix.symm) x).1
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det ((toSelfAdjointMatrix ∘
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toLin LorentzVector.stdBasis LorentzVector.stdBasis Λ ∘ toSelfAdjointMatrix.symm) x).1
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= det x.1 := by
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rw [LorentzGroup.mem_iff_norm]
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apply Iff.intro
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