refactor: Lint

This commit is contained in:
jstoobysmith 2024-07-02 10:26:21 -04:00
parent c64d926e7c
commit 304c3542b5
8 changed files with 10 additions and 29 deletions

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@ -5,6 +5,7 @@ Authors: Joseph Tooby-Smith
-/
import HepLean.SpaceTime.LorentzGroup.Basic
import Mathlib.RepresentationTheory.Basic
import HepLean.SpaceTime.LorentzVector.AsSelfAdjointMatrix
/-!
# The group SL(2, ) and it's relation to the Lorentz group
@ -86,7 +87,8 @@ In the next section we will restrict this homomorphism to the restricted Lorentz
lemma iff_det_selfAdjoint (Λ : Matrix (Fin 1 ⊕ Fin 3) (Fin 1 ⊕ Fin 3) ): Λ ∈ LorentzGroup 3 ↔
∀ (x : selfAdjoint (Matrix (Fin 2) (Fin 2) )),
det ((toSelfAdjointMatrix ∘ toLin LorentzVector.stdBasis LorentzVector.stdBasis Λ ∘ toSelfAdjointMatrix.symm) x).1
det ((toSelfAdjointMatrix ∘
toLin LorentzVector.stdBasis LorentzVector.stdBasis Λ ∘ toSelfAdjointMatrix.symm) x).1
= det x.1 := by
rw [LorentzGroup.mem_iff_norm]
apply Iff.intro