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refactor: Linting

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jstoobysmith 2024-07-18 16:46:29 -04:00
parent 1233987bd7
commit 52e591fa7a
27 changed files with 53 additions and 57 deletions
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4
HepLean/StandardModel/HiggsBoson/GaugeAction.lean
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@ -94,11 +94,11 @@ lemma rep_apply (g : GaugeGroup) (φ : HiggsVec) : rep g φ = g.2.2 ^ 3 • (g.2
/-- Given a Higgs vector, a rotation matrix which puts the first component of the
vector to zero, and the second component to a real -/
def rotateMatrix (φ : HiggsVec) : Matrix (Fin 2) (Fin 2) ℂ :=
![![φ 1 /‖φ‖ , - φ 0 /‖φ‖], ![conj (φ 0) / ‖φ‖ , conj (φ 1) / ‖φ‖] ]
![![φ 1 /‖φ‖, - φ 0 /‖φ‖], ![conj (φ 0) / ‖φ‖, conj (φ 1) / ‖φ‖]]
lemma rotateMatrix_star (φ : HiggsVec) :
star φ.rotateMatrix =
![![conj (φ 1) /‖φ‖ , φ 0 /‖φ‖], ![- conj (φ 0) / ‖φ‖ , φ 1 / ‖φ‖] ] := by
![![conj (φ 1) /‖φ‖, φ 0 /‖φ‖], ![- conj (φ 0) / ‖φ‖, φ 1 / ‖φ‖]] := by
simp_rw [star, rotateMatrix, conjTranspose]
ext i j
fin_cases i <;> fin_cases j <;> simp [conj_ofReal]