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refactor: Spelling and typos

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jstoobysmith 2025-02-10 10:51:44 +00:00
parent b30a49d7db
commit dc5b63c4a7
25 changed files with 37 additions and 37 deletions
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4
HepLean/AnomalyCancellation/SM/Permutations.lean
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@ -63,7 +63,7 @@ def repCharges {n : ℕ} : Representation ℚ (PermGroup n) (SMCharges n).Charge
erw [toSMSpecies_toSpecies_inv]
rfl
/-- The species chages of a set of charges acted on by a family permutation is the permutation
/-- The species charges of a set of charges acted on by a family permutation is the permutation
of those species charges with the corresponding part of the family permutation. -/
lemma repCharges_toSpecies (f : PermGroup n) (S : (SMCharges n).Charges) (j : Fin 5) :
toSpecies j (repCharges f S) = toSpecies j S ∘ f⁻¹ j := by
@ -78,7 +78,7 @@ 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)
/-- The gravitional anomaly equations is invariant under family permutations. -/
/-- The gravitational anomaly equations is invariant under family permutations. -/
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)