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refactor(QED): remove erw from sum lemmas #1504

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jstoobysmith merged 1 commit into from
Aug 11, 2026
Merged

refactor(QED): remove erw from sum lemmas #1504

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12 changes: 8 additions & 4 deletions Physlib/QFT/QED/AnomalyCancellation/Basic.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -164,8 +164,10 @@ lemma sum_of_charges {n : ℕ} (f : Fin k → (PureU1 n).Charges) (j : Fin n) :
· rfl
· rename_i k hl
rw [Fin.sum_univ_castSucc, Fin.sum_univ_castSucc]
erw [← hl (f ∘ Fin.castSucc)]
rfl
change ((∑ i : Fin k, f i.castSucc) j) + f (Fin.last k) j =
(∑ i : Fin k, f i.castSucc j) + f (Fin.last k) j
have h := hl (fun i : Fin k => f i.castSucc)
exact congrArg (fun x => x + f (Fin.last k) j) h

/-- The `j`th charge of a sum of solutions to the linear ACC is equal to the sum of
their `j`th charges. -/
Expand All @@ -175,7 +177,9 @@ lemma sum_of_anomaly_free_linear {n : ℕ} (f : Fin k → (PureU1 n).LinSols) (j
· rfl
· rename_i k hl
rw [Fin.sum_univ_castSucc, Fin.sum_univ_castSucc]
erw [← hl (f ∘ Fin.castSucc)]
rfl
change ((∑ i : Fin k, f i.castSucc).val j) + (f (Fin.last k)).val j =
(∑ i : Fin k, (f i.castSucc).val j) + (f (Fin.last k)).val j
have h := hl (fun i : Fin k => f i.castSucc)
exact congrArg (fun x => x + (f (Fin.last k)).val j) h

end PureU1
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