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refactor: Lint

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jstoobysmith 2024-07-19 17:00:32 -04:00
parent 52e591fa7a
commit 9f27a3a9fd
46 changed files with 176 additions and 168 deletions
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14
HepLean/AnomalyCancellation/PureU1/Odd/BasisLinear.lean
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@ -535,7 +535,7 @@ def Pa' (f : (Fin n) ⊕ (Fin n) → ℚ) : (PureU1 (2 * n + 1)).LinSols :=
∑ i, f i • basisa i
lemma Pa'_P'_P!' (f : (Fin n) ⊕ (Fin n) → ℚ) :
Pa' f = P' (f ∘ Sum.inl) + P!' (f ∘ Sum.inr):= by
Pa' f = P' (f ∘ Sum.inl) + P!' (f ∘ Sum.inr) := by
exact Fintype.sum_sum_type _
lemma P'_val (f : Fin n → ℚ) : (P' f).val = P f := by
@ -602,7 +602,7 @@ lemma Pa'_eq (f f' : (Fin n.succ) ⊕ (Fin n.succ) → ℚ) : Pa' f = Pa' f' ↔
simp
have h2 : ∀ i, (f i + (- f' i)) = 0 := by
exact Fintype.linearIndependent_iff.mp (@basisa_linear_independent n)
(fun i => f i + -f' i) h1
(fun i => f i + -f' i) h1
have h2i := h2 i
linarith
intro h
@ -671,15 +671,15 @@ lemma span_basis (S : (PureU1 (2 * n.succ + 1)).LinSols) :
lemma span_basis_swap! {S : (PureU1 (2 * n.succ + 1)).LinSols} (j : Fin n.succ)
(hS : ((FamilyPermutations (2 * n.succ + 1)).linSolRep
(pairSwap (δ!₁ j) (δ!₂ j))) S = S') (g f : Fin n.succ → ℚ) (hS1 : S.val = P g + P! f):
(pairSwap (δ!₁ j) (δ!₂ j))) S = S') (g f : Fin n.succ → ℚ) (hS1 : S.val = P g + P! f) :
∃ (g' f' : Fin n.succ → ℚ),
S'.val = P g' + P! f' ∧ P! f' = P! f +
S'.val = P g' + P! f' ∧ P! f' = P! f +
(S.val (δ!₂ j) - S.val (δ!₁ j)) • basis!AsCharges j ∧ g' = g := by
let X := P! f + (S.val (δ!₂ j) - S.val (δ!₁ j)) • basis!AsCharges j
have hf : P! f ∈ Submodule.span ℚ (Set.range basis!AsCharges) := by
rw [(mem_span_range_iff_exists_fun ℚ)]
use f
rfl
rw [(mem_span_range_iff_exists_fun ℚ)]
use f
rfl
have hP : (S.val (δ!₂ j) - S.val (δ!₁ j)) • basis!AsCharges j ∈
Submodule.span ℚ (Set.range basis!AsCharges) := by
apply Submodule.smul_mem