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refactor: Last batch of multi-goal proofs

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jstoobysmith 2024-08-21 06:40:58 -04:00
parent b9479c904d
commit c0499483a8
43 changed files with 910 additions and 955 deletions
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20
HepLean/AnomalyCancellation/PureU1/Permutations.lean
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@ -149,19 +149,23 @@ lemma pairSwap_other {n : ℕ} (i j k : Fin n) (hik : i ≠ k) (hjk : j ≠ k) :
(pairSwap i j).toFun k = k := by
simp [pairSwap]
split
simp_all
split
simp_all
rfl
· rename_i h
exact False.elim (hik (id (Eq.symm h)))
· split
· rename_i h
exact False.elim (hjk (id (Eq.symm h)))
· rfl
lemma pairSwap_inv_other {n : ℕ} {i j k : Fin n} (hik : i ≠ k) (hjk : j ≠ k) :
(pairSwap i j).invFun k = k := by
simp [pairSwap]
split
simp_all
split
simp_all
rfl
· rename_i h
exact False.elim (hik (id (Eq.symm h)))
· split
· rename_i h
exact False.elim (hjk (id (Eq.symm h)))
· rfl
/-- A permutation of fermions which takes one ordered subset into another. -/
noncomputable def permOfInjection (f g : Fin m ↪ Fin n) : (FamilyPermutations n).group :=