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refactor: Lint

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jstoobysmith 2024-09-06 05:43:52 -04:00
parent 27721bc476
commit 5a613b4de6
4 changed files with 13 additions and 10 deletions
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4
HepLean/StandardModel/HiggsBoson/GaugeAction.lean
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@ -135,7 +135,7 @@ def rotateGuageGroup {φ : HiggsVec} (hφ : φ ≠ 0) : GaugeGroup :=
⟨1, ⟨(rotateMatrix φ), rotateMatrix_specialUnitary hφ⟩, 1⟩
lemma rotateGuageGroup_apply {φ : HiggsVec} (hφ : φ ≠ 0) :
rep (rotateGuageGroup hφ) φ = ![0, ofReal ‖φ‖] := by
rep (rotateGuageGroup hφ) φ = ![0, Complex.ofReal ‖φ‖] := by
rw [rep_apply]
simp only [rotateGuageGroup, rotateMatrix, one_pow, one_smul,
Nat.succ_eq_add_one, Nat.reduceAdd, ofReal_eq_coe]
@ -155,7 +155,7 @@ lemma rotateGuageGroup_apply {φ : HiggsVec} (hφ : φ ≠ 0) :
Fin.sum_univ_two, ofReal_add, ofReal_mul, mul_conj, mul_comm]
theorem rotate_fst_zero_snd_real (φ : HiggsVec) :
∃ (g : GaugeGroup), rep g φ = ![0, ofReal ‖φ‖] := by
∃ (g : GaugeGroup), rep g φ = ![0, Complex.ofReal ‖φ‖] := by
by_cases h : φ = 0
· use ⟨1, 1, 1⟩
simp [h]