DibyashanuPati/PhysLean
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

refactor: Index notation, computablity

Browse source
This commit is contained in:
jstoobysmith 2024-08-16 15:56:18 -04:00
parent f948f504c3
commit 8a0f81ae02
13 changed files with 341 additions and 227 deletions
Download patch file Download diff file Expand all files Collapse all files

3
HepLean/AnomalyCancellation/PureU1/BasisLinear.lean
View file

@ -76,9 +76,10 @@ lemma sum_of_vectors {n : ℕ} (f : Fin k → (PureU1 n).LinSols) (j : Fin n) :
(∑ i : Fin k, (f i)).1 j = (∑ i : Fin k, (f i).1 j) :=
sum_of_anomaly_free_linear (fun i => f i) j
/-! TODO: replace `Finsupp.equivFunOnFinite` here with `Finsupp.linearEquivFunOnFinite`. -/
/-- The coordinate map for the basis. -/
noncomputable
def coordinateMap : ((PureU1 n.succ).LinSols) ≃ₗ[ℚ] Fin n →₀ ℚ where
def coordinateMap : (PureU1 n.succ).LinSols ≃ₗ[ℚ] Fin n →₀ ℚ where
toFun S := Finsupp.equivFunOnFinite.invFun (S.1 ∘ Fin.castSucc)
map_add' S T := Finsupp.ext (congrFun rfl)
map_smul' a S := Finsupp.ext (congrFun rfl)