DibyashanuPati/PhysLean
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

refactor: Lint

Browse source
This commit is contained in:
jstoobysmith 2024-07-19 17:00:32 -04:00
parent 52e591fa7a
commit 9f27a3a9fd
46 changed files with 176 additions and 168 deletions
Download patch file Download diff file Expand all files Collapse all files

6
HepLean/SpaceTime/LorentzGroup/Orthochronous.lean
View file

@ -63,7 +63,7 @@ lemma not_orthochronous_iff_le_zero :
/-- The continuous map taking a Lorentz transformation to its `0 0` element. -/
def timeCompCont : C(LorentzGroup d, ℝ) := ⟨fun Λ => timeComp Λ,
Continuous.matrix_elem (continuous_iff_le_induced.mpr fun _ a => a) (Sum.inl 0) (Sum.inl 0)⟩
Continuous.matrix_elem (continuous_iff_le_induced.mpr fun _ a => a) (Sum.inl 0) (Sum.inl 0)⟩
/-- An auxillary function used in the definition of `orthchroMapReal`. -/
def stepFunction : ℝ → ℝ := fun t =>
@ -72,7 +72,7 @@ def stepFunction : ℝ → ℝ := fun t =>
lemma stepFunction_continuous : Continuous stepFunction := by
apply Continuous.if ?_ continuous_const (Continuous.if ?_ continuous_const continuous_id)
<;> intro a ha
<;> intro a ha
rw [@Set.Iic_def, @frontier_Iic, @Set.mem_singleton_iff] at ha
rw [ha]
simp [neg_lt_self_iff, zero_lt_one, ↓reduceIte]
@ -157,7 +157,7 @@ def orthchroRep : LorentzGroup d →* ℤ₂ where
map_mul' Λ Λ' := by
simp only
by_cases h : IsOrthochronous Λ
<;> by_cases h' : IsOrthochronous Λ'
<;> by_cases h' : IsOrthochronous Λ'
rw [orthchroMap_IsOrthochronous h, orthchroMap_IsOrthochronous h',
orthchroMap_IsOrthochronous (mul_othchron_of_othchron_othchron h h')]
rfl