chore: bump to v4.16.0

This commit is contained in:
jstoobysmith 2025-02-12 14:24:26 +00:00
parent f44828f4a7
commit fe082d93c2
35 changed files with 200 additions and 145 deletions

View file

@ -84,8 +84,8 @@ TODO "Make `HiggsBundle` an associated bundle."
abbrev HiggsBundle := Bundle.Trivial SpaceTime HiggsVec
/-- The instance of a smooth vector bundle with total space `HiggsBundle` and fiber `HiggsVec`. -/
instance : SmoothVectorBundle HiggsVec HiggsBundle SpaceTime.asSmoothManifold :=
Bundle.Trivial.smoothVectorBundle HiggsVec
instance : ContMDiffVectorBundle HiggsVec HiggsBundle SpaceTime.asSmoothManifold :=
Bundle.Trivial.contMDiffVectorBundle HiggsVec
/-- A Higgs field is a smooth section of the Higgs bundle. -/
abbrev HiggsField : Type := ContMDiffSection SpaceTime.asSmoothManifold HiggsVec HiggsBundle

View file

@ -210,10 +210,12 @@ theorem rotate_fst_real_snd_zero (φ : HiggsVec) :
coe_smul, mulVec_empty, add_zero, zero_add, one_smul]
funext i
fin_cases i
· simp only [Fin.zero_eta, Fin.isValue, Pi.smul_apply, Function.comp_apply, cons_val_zero,
tail_cons, head_cons, real_smul, mul_one]
· simp only [Fin.mk_one, Fin.isValue, Pi.smul_apply, Function.comp_apply, cons_val_one, head_cons,
tail_cons, smul_zero]
· simp only [one_pow, mulVec_cons, Nat.succ_eq_add_one, Nat.reduceAdd, zero_smul, coe_smul,
mulVec_empty, add_zero, zero_add, Fin.zero_eta, Fin.isValue, Pi.smul_apply, Function.comp_apply,
cons_val_zero, tail_cons, head_cons, real_smul, mul_one, one_smul, P]
· simp only [one_pow, mulVec_cons, Nat.succ_eq_add_one, Nat.reduceAdd, zero_smul, coe_smul,
mulVec_empty, add_zero, zero_add, Fin.mk_one, Fin.isValue, Pi.smul_apply, Function.comp_apply,
cons_val_one, head_cons, tail_cons, smul_zero, P]
/-- There exists a `g` in `GaugeGroupI` such that `rep g φ = φ'` iff `‖φ‖ = ‖φ'‖`. -/
informal_lemma guage_orbit where