refactor: Remove double empty lines
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@ -18,8 +18,6 @@ The plane spanned by Y₃, B₃ and third orthogonal point.
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-/
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universe v u
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namespace MSSMACC
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@ -93,7 +91,6 @@ lemma planeY₃B₃_val_eq' (R : MSSMACC.AnomalyFreePerp) (a b c : ℚ) (hR' : R
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rw [ha, hb, hc]
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simp
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lemma planeY₃B₃_quad (R : MSSMACC.AnomalyFreePerp) (a b c : ℚ) :
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accQuad (planeY₃B₃ R a b c).val = c * (2 * a * quadBiLin Y₃.val R.val
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+ 2 * b * quadBiLin B₃.val R.val + c * quadBiLin R.val R.val) := by
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@ -184,7 +181,6 @@ def lineCube (R : MSSMACC.AnomalyFreePerp) (a₁ a₂ a₃ : ℚ) :
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(3 * a₃ * cubeTriLin R.val R.val Y₃.val - a₁ * cubeTriLin R.val R.val R.val)
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(3 * (a₁ * cubeTriLin R.val R.val B₃.val - a₂ * cubeTriLin R.val R.val Y₃.val))
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lemma lineCube_smul (R : MSSMACC.AnomalyFreePerp) (a b c d : ℚ) :
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lineCube R (d * a) (d * b) (d * c) = d • lineCube R a b c := by
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apply ACCSystemLinear.LinSols.ext
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@ -241,5 +237,4 @@ lemma α₂_proj_zero (T : MSSMACC.Sols) (h1 : α₃ (proj T.1.1) = 0) :
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end proj
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end MSSMACC
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