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fix: Anomaly Cancellation Group Actions & others

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This commit is contained in:
jstoobysmith 2024-11-02 08:03:04 +00:00
parent a532c51d64
commit e6045e5f58
4 changed files with 14 additions and 13 deletions
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9
HepLean/AnomalyCancellation/PureU1/BasisLinear.lean
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@ -66,7 +66,7 @@ def asLinSols (j : Fin n) : (PureU1 n.succ).LinSols :=
split
· rename_i ht
exact (hn ht).elim
· rfl
· with_unfolding_all rfl
· intro k _ hkj
exact asCharges_ne_castSucc hkj.symm
· intro hk
@ -124,10 +124,11 @@ instance : Module.Finite ℚ ((PureU1 n.succ).LinSols) :=
Module.Finite.of_basis asBasis
lemma finrank_AnomalyFreeLinear :
FiniteDimensional.finrank ℚ (((PureU1 n.succ).LinSols)) = n := by
Module.finrank ℚ (((PureU1 n.succ).LinSols)) = n := by
have h := Module.mk_finrank_eq_card_basis (@asBasis n)
simp only [Nat.succ_eq_add_one, finrank_eq_rank, Cardinal.mk_fintype, Fintype.card_fin] at h
exact FiniteDimensional.finrank_eq_of_rank_eq h
simp only [Nat.succ_eq_add_one, Module.finrank_eq_rank, Cardinal.mk_fintype,
Fintype.card_fin] at h
exact Module.finrank_eq_of_rank_eq h
end BasisLinear