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refactor: Remove double empty lines

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jstoobysmith 2024-07-03 07:56:30 -04:00
parent ae18a2196d
commit f03d063c86
60 changed files with 0 additions and 232 deletions
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6
HepLean/AnomalyCancellation/SM/Permutations.lean
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@ -33,7 +33,6 @@ variable {n : ℕ}
@[simp]
instance : Group (PermGroup n) := Pi.group
/-- The image of an element of `permGroup n` under the representation on charges. -/
@[simps!]
def chargeMap (f : PermGroup n) : (SMCharges n).Charges →ₗ[ℚ] (SMCharges n).Charges where
@ -66,7 +65,6 @@ lemma repCharges_toSpecies (f : PermGroup n) (S : (SMCharges n).Charges) (j : Fi
toSpecies j (repCharges f S) = toSpecies j S ∘ f⁻¹ j := by
erw [toSMSpecies_toSpecies_inv]
lemma toSpecies_sum_invariant (m : ℕ) (f : PermGroup n) (S : (SMCharges n).Charges) (j : Fin 5) :
∑ i, ((fun a => a ^ m) ∘ toSpecies j (repCharges f S)) i =
∑ i, ((fun a => a ^ m) ∘ toSpecies j S) i := by
@ -74,20 +72,16 @@ lemma toSpecies_sum_invariant (m : ℕ) (f : PermGroup n) (S : (SMCharges n).Cha
exact Fintype.sum_equiv (f⁻¹ j) (fun x => ((fun a => a ^ m) ∘ (toSpecies j) S ∘ ⇑(f⁻¹ j)) x)
(fun x => ((fun a => a ^ m) ∘ (toSpecies j) S) x) (congrFun rfl)
lemma accGrav_invariant (f : PermGroup n) (S : (SMCharges n).Charges) :
accGrav (repCharges f S) = accGrav S :=
accGrav_ext
(by simpa using toSpecies_sum_invariant 1 f S)
lemma accSU2_invariant (f : PermGroup n) (S : (SMCharges n).Charges) :
accSU2 (repCharges f S) = accSU2 S :=
accSU2_ext
(by simpa using toSpecies_sum_invariant 1 f S)
lemma accSU3_invariant (f : PermGroup n) (S : (SMCharges n).Charges) :
accSU3 (repCharges f S) = accSU3 S :=
accSU3_ext