refactor: Lint
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5 changed files with 70 additions and 55 deletions
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@ -75,8 +75,8 @@ lemma prodMatrix_hermitian (Φ1 Φ2 : HiggsField) (x : SpaceTime) :
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/-- The map `prodMatrix` is a smooth function on spacetime. -/
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lemma prodMatrix_smooth (Φ1 Φ2 : HiggsField) :
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Smooth 𝓘(ℝ, SpaceTime) 𝓘(ℝ, Matrix (Fin 2) (Fin 2) ℂ) (prodMatrix Φ1 Φ2) := by
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rw [show 𝓘(ℝ, Matrix (Fin 2) (Fin 2) ℂ) = modelWithCornersSelf ℝ (Fin 2 → Fin 2 → ℂ) from rfl,
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Smooth 𝓘(ℝ, SpaceTime) 𝓘(ℝ, Matrix (Fin 2) (Fin 2) ℂ) (prodMatrix Φ1 Φ2) := by
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rw [show 𝓘(ℝ, Matrix (Fin 2) (Fin 2) ℂ) = modelWithCornersSelf ℝ (Fin 2 → Fin 2 → ℂ) from rfl,
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smooth_pi_space]
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intro i
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rw [smooth_pi_space]
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@ -87,7 +87,7 @@ lemma prodMatrix_smooth (Φ1 Φ2 : HiggsField) :
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informal_lemma prodMatrix_invariant where
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math :≈ "The map ``prodMatrix is invariant under the simultanous action of ``gaugeAction
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on the two Higgs fields."
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on the two Higgs fields."
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deps :≈ [``prodMatrix, ``gaugeAction]
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informal_lemma prodMatrix_to_higgsField where
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