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feat: LorentzAction_on_isEmpty

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jstoobysmith 2024-07-16 11:59:29 -04:00
parent 86e7ea6c0f
commit d385f72087
2 changed files with 15 additions and 7 deletions
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9
HepLean/SpaceTime/LorentzTensor/Real/Constructors.lean
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@ -270,13 +270,8 @@ open Matrix
/-- The action of the Lorentz group on `ofReal v` is trivial. -/
@[simp]
lemma lorentzAction_ofReal (r : ℝ) : Λ • ofReal d r = ofReal d r := by
refine ext' rfl ?_
funext i
erw [lorentzAction_smul_coord]
simp only [Finset.univ_unique, Finset.univ_eq_empty, Finset.prod_empty, one_mul,
Finset.sum_singleton, IndexValue]
rfl
lemma lorentzAction_ofReal (r : ℝ) : Λ • ofReal d r = ofReal d r :=
lorentzAction_on_isEmpty Λ (ofReal d r)
/-- The action of the Lorentz group on `ofVecUp v` is by vector multiplication. -/
@[simp]