refactor: Remove double empty lines
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@ -65,7 +65,6 @@ lemma repCharges_toSpecies (f : PermGroup n) (S : (SMνCharges n).Charges) (j :
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toSpecies j (repCharges f S) = toSpecies j S ∘ f⁻¹ j := by
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erw [toSMSpecies_toSpecies_inv]
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lemma toSpecies_sum_invariant (m : ℕ) (f : PermGroup n) (S : (SMνCharges n).Charges) (j : Fin 6) :
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∑ i, ((fun a => a ^ m) ∘ toSpecies j (repCharges f S)) i =
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∑ i, ((fun a => a ^ m) ∘ toSpecies j S) i := by
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@ -74,19 +73,16 @@ lemma toSpecies_sum_invariant (m : ℕ) (f : PermGroup n) (S : (SMνCharges n).C
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refine Equiv.Perm.sum_comp _ _ _ ?_
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simp only [PermGroup, Fin.isValue, Pi.inv_apply, ne_eq, coe_univ, Set.subset_univ]
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lemma accGrav_invariant (f : PermGroup n) (S : (SMνCharges n).Charges) :
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accGrav (repCharges f S) = accGrav S :=
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accGrav_ext
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(by simpa using toSpecies_sum_invariant 1 f S)
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lemma accSU2_invariant (f : PermGroup n) (S : (SMνCharges n).Charges) :
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accSU2 (repCharges f S) = accSU2 S :=
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accSU2_ext
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(by simpa using toSpecies_sum_invariant 1 f S)
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lemma accSU3_invariant (f : PermGroup n) (S : (SMνCharges n).Charges) :
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accSU3 (repCharges f S) = accSU3 S :=
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accSU3_ext
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@ -97,7 +93,6 @@ lemma accYY_invariant (f : PermGroup n) (S : (SMνCharges n).Charges) :
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accYY_ext
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(by simpa using toSpecies_sum_invariant 1 f S)
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lemma accQuad_invariant (f : PermGroup n) (S : (SMνCharges n).Charges) :
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accQuad (repCharges f S) = accQuad S :=
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accQuad_ext
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@ -108,6 +103,4 @@ lemma accCube_invariant (f : PermGroup n) (S : (SMνCharges n).Charges) :
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accCube_ext
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(by simpa using toSpecies_sum_invariant 3 f S)
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end SMRHN
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