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feat: More fixes

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This commit is contained in:
jstoobysmith 2024-11-02 08:50:17 +00:00
parent 4df8663cbc
commit c9c9047a0c
31 changed files with 134 additions and 124 deletions
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6
HepLean/StandardModel/HiggsBoson/GaugeAction.lean
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@ -135,10 +135,10 @@ def rotateGuageGroup {φ : HiggsVec} (hφ : φ ≠ 0) : GaugeGroupI :=
⟨1, ⟨(rotateMatrix φ), rotateMatrix_specialUnitary hφ⟩, 1⟩
lemma rotateGuageGroup_apply {φ : HiggsVec} (hφ : φ ≠ 0) :
rep (rotateGuageGroup hφ) φ = ![0, Complex.ofReal ‖φ‖] := by
rep (rotateGuageGroup hφ) φ = ![0, Complex.ofRealHom ‖φ‖] := by
rw [rep_apply]
simp only [rotateGuageGroup, rotateMatrix, one_pow, one_smul,
Nat.succ_eq_add_one, Nat.reduceAdd, ofReal_eq_coe]
Nat.succ_eq_add_one, Nat.reduceAdd, ofRealHom_eq_coe]
ext i
fin_cases i
· simp only [mulVec, Fin.zero_eta, Fin.isValue, cons_val', empty_val', cons_val_fin_one,
@ -181,7 +181,7 @@ theorem rotate_fst_real_snd_zero (φ : HiggsVec) :
rw [rep.map_mul]
change rep P (rep g φ) = _
rw [h, rep_apply]
simp only [one_pow, Nat.succ_eq_add_one, Nat.reduceAdd, ofReal_eq_coe, mulVec_cons, zero_smul,
simp only [one_pow, Nat.succ_eq_add_one, Nat.reduceAdd, ofRealHom_eq_coe, mulVec_cons, zero_smul,
coe_smul, mulVec_empty, add_zero, zero_add, one_smul]
funext i
fin_cases i